2. What is n in y(n) = 0?
-3
Let l(n) be the third derivative of -n**6/20 + n**5/20 + n**4/8 + 16*n**2. Let l(b) = 0. Calculate b.
-1/2, 0, 1
Let v be 3 + (-1)/((-4)/12). Factor -v*r + 6*r**2 + 3*r**3 - 4*r**3 - 2*r**3 + 3*r.
-3*r*(r - 1)**2
Let o(c) be the second derivative of 3*c**5/10 + c**4/6 - 8*c**3/3 + 4*c**2 + c. Let o(j) = 0. Calculate j.
-2, 2/3, 1
Find k, given that 6*k**2 + 7*k**3 - 15*k**2 + 12 + 8*k**3 - 12*k**3 = 0.
-1, 2
Let l(m) be the first derivative of m**5/15 - m**4/12 - m**3/9 + m**2/6 + 5. Determine d so that l(d) = 0.
-1, 0, 1
Factor 0 - 2/9*s - 2/9*s**2.
-2*s*(s + 1)/9
Let o be -1 - (-2 + (21/(-7) - -1)). Find g, given that 0 - 1/2*g + 7/4*g**o + 3/4*g**2 - 5/4*g**5 - 3/4*g**4 = 0.
-1, 0, 2/5, 1
Let v(j) be the third derivative of -j**7/6300 + j**6/3600 + j**5/600 + j**4/12 + 3*j**2. Let l(i) be the second derivative of v(i). Factor l(x).
-(x - 1)*(2*x + 1)/5
Let r(f) be the first derivative of -5*f**4 + 92*f**3/3 - 40*f**2 - 48*f - 28. Find q such that r(q) = 0.
-2/5, 2, 3
Suppose -18 = -12*p + 54. Let j(l) be the second derivative of 1/20*l**5 - 7/60*l**p + 2*l + 0 - 1/6*l**3 + 7/24*l**4 + 0*l**2. Factor j(q).
-q*(q - 1)*(q + 1)*(7*q - 2)/2
Let q(j) be the third derivative of j**6/720 + j**5/72 + j**4/18 + j**3/9 + 14*j**2. Factor q(u).
(u + 1)*(u + 2)**2/6
Let y(c) be the second derivative of -c**6/150 + c**4/30 - c**2/10 + 12*c. Factor y(v).
-(v - 1)**2*(v + 1)**2/5
Let c be (-1)/5 - (-19)/(-5) - -6. Let t(f) be the first derivative of 0*f + 0*f**3 + 1/2*f**c - 1/2*f**4 + 3 + 0*f**5 + 1/6*f**6. Solve t(y) = 0.
-1, 0, 1
Factor -6/7*j**3 + 0 + 2/7*j**4 + 0*j - 8/7*j**2.
2*j**2*(j - 4)*(j + 1)/7
Let f be (2 + -1)/(2/8). Factor -2*v**4 + v + 3*v**f - v**5 - v**2 + v**3 - v.
-v**2*(v - 1)**2*(v + 1)
Let k = 83/164 - 1/164. Factor 2*g + k*g**2 + 2.
(g + 2)**2/2
Let j(m) be the first derivative of -231/25*m**5 + 51/20*m**4 + 12/5*m + 48/5*m**2 - 49/10*m**6 - 4 + 73/5*m**3. Let j(k) = 0. Calculate k.
-1, -2/7, 1
Let v(j) be the first derivative of 9*j**5/25 - 21*j**4/10 + 52*j**3/15 - 11*j**2/5 + 3*j/5 + 17. Solve v(x) = 0.
1/3, 1, 3
Let v(d) = -d**3 - 7*d**2 - d - 6. Let g be v(-5). Let f be 2/(-13) - g/78. What is j in -3/2*j - 1/2*j**4 + 1 + 3/2*j**3 - f*j**2 = 0?
-1, 1, 2
Let n(h) be the first derivative of h**5/10 + h**4/8 - h**3 - h**2 + 4*h - 3. Let n(r) = 0. What is r?
-2, 1, 2
Let x(p) = 4*p + 9. Let i be x(5). Factor -29*l + 0*l**4 - 15*l**3 + 3*l**2 + i*l + 12*l**4.
3*l**2*(l - 1)*(4*l - 1)
Let h(d) = 5*d**2 - 1 - 3*d + 8*d - 1. Suppose 5*c - 2*y = 5 + 14, -5*y - 19 = -3*c. Let r(n) = 6*n**2 + 6*n - 3. Let o(u) = c*h(u) - 2*r(u). Factor o(f).
3*f*(f + 1)
Let m(f) be the second derivative of -1/50*f**6 - 4*f - 4/5*f**3 + 0 - 1/70*f**7 + 1/20*f**4 + 6/5*f**2 + 3/20*f**5. Factor m(a).
-3*(a - 1)**3*(a + 2)**2/5
Let h(d) be the first derivative of -1/18*d**3 - 1/6*d**2 - 1/6*d + 4. Suppose h(p) = 0. What is p?
-1
Suppose 4*l = l + 9. What is f in -8*f**4 + 6*f**5 + 10*f**5 - 4*f**l + 5*f**5 = 0?
-2/7, 0, 2/3
Let k(f) = -2*f - 2. Let a be k(-2). Determine m so that -5*m**3 - m**2 + 4*m**2 - 5*m**a = 0.
-2/5, 0
Let s(d) be the first derivative of -1/2*d**4 - 4/9*d + d**2 + 4/27*d**3 + 5. Factor s(k).
-2*(k - 1)*(k + 1)*(9*k - 2)/9
Let o(g) be the first derivative of g**6/120 - g**5/20 + g**4/8 - g**3/6 - g**2 + 3. Let z(r) be the second derivative of o(r). Factor z(q).
(q - 1)**3
Let m be (-8)/2 - (-4964)/1095. Let -m*c + 2/5 - 2/15*c**4 - 4/15*c**2 + 8/15*c**3 = 0. Calculate c.
-1, 1, 3
Let b(q) be the first derivative of 1/6*q**2 + 1/18*q**3 + 1 + 0*q. Factor b(h).
h*(h + 2)/6
Factor -4/7*h**3 + 4/7 + 12/7*h**2 - 12/7*h.
-4*(h - 1)**3/7
Let s = 4/19 - -56/95. Factor s - 2/5*v**3 + 2/5*v - 4/5*v**2.
-2*(v - 1)*(v + 1)*(v + 2)/5
Let w(h) be the third derivative of -1/15*h**5 - 2/105*h**7 - 1/20*h**6 + 0 + 2*h**2 - 1/24*h**4 - 1/336*h**8 + 0*h**3 + 0*h. Factor w(x).
-x*(x + 1)**4
Let u(w) = -2*w**2 - 8*w + 2. Let d be u(-4). Suppose -4*l = -34 - 6. Let l*b**5 + 0 - 12*b**4 + 8/5*b - 22/5*b**3 + 24/5*b**d = 0. Calculate b.
-2/5, 0, 1
Let u be 2*((-1)/(-6) - 0). Factor -t**2 - 1/3*t**4 - u*t + 0 - t**3.
-t*(t + 1)**3/3
Let v(s) = -5*s - 7. Let n be v(-7). Determine q, given that 20*q**5 - 10*q + 2*q + n*q**4 - 45*q**2 + 17*q**2 - 12*q**3 = 0.
-1, -2/5, 0, 1
Let g(i) be the second derivative of -i**7/5880 - i**6/504 - i**5/105 - i**4/42 - 7*i**3/6 - i. Let l(n) be the second derivative of g(n). Factor l(c).
-(c + 1)*(c + 2)**2/7
Let s be 1/((-2)/(-4))*1. Factor 1/4 - 1/4*f**s + 0*f.
-(f - 1)*(f + 1)/4
Let z(v) be the third derivative of v**6/360 - v**5/180 - 5*v**4/72 - v**3/6 + 5*v**2 - v. Solve z(d) = 0.
-1, 3
Find w, given that -8/5*w**3 + 4/5 - 2/5*w**5 + 2*w - 8/5*w**4 + 4/5*w**2 = 0.
-2, -1, 1
Let m(q) be the second derivative of 1/30*q**4 + 0 + q - 2/5*q**2 + 1/15*q**3. Factor m(u).
2*(u - 1)*(u + 2)/5
Let z(a) be the first derivative of -a**5/20 + a**4/4 - a**3/3 - 25. Suppose z(h) = 0. What is h?
0, 2
Factor 0*f**2 + 2/17*f**3 - 14/17*f - 12/17.
2*(f - 3)*(f + 1)*(f + 2)/17
Let o(t) be the third derivative of -t**2 + 0*t**3 + 0 + 1/24*t**4 + 0*t - 1/120*t**5. Suppose o(w) = 0. Calculate w.
0, 2
Let o be 9 + -2 + 3 + -3. Determine f so that -10*f - 7 + o - 2*f**2 + 4*f = 0.
-3, 0
Let r(u) be the third derivative of 0*u + 7/36*u**4 + 0 - 23/180*u**6 - 7/90*u**5 + 4*u**2 - 1/9*u**3 + 8/315*u**7 + 2/63*u**8. Suppose r(w) = 0. What is w?
-1, 1/4, 1
Factor 8/9*r**2 - 2/9*r**3 - 2/3*r + 0.
-2*r*(r - 3)*(r - 1)/9
Let a = 8 + -8. Let u(x) be the second derivative of a + 2*x - 1/60*x**5 + 0*x**2 + 0*x**4 + 0*x**6 + 0*x**3 + 1/126*x**7. Let u(y) = 0. Calculate y.
-1, 0, 1
Let b be ((-6)/(-4))/(5/(-10)). Let u = 7 + b. Factor 0*s**2 + 2*s**3 + u*s**2 - 2*s**2.
2*s**2*(s + 1)
Let b(j) be the first derivative of 2/3*j**3 + 3*j**2 + 4 + 0*j. Solve b(l) = 0.
-3, 0
Let x(a) be the second derivative of -a**4/6 + 2*a**3/3 - a**2 + 23*a. Factor x(v).
-2*(v - 1)**2
Let z be 0/(1 - (1 + 1)). Suppose z*y = -5*y. Factor 2/3*i + 0 + 1/3*i**4 - i**2 + y*i**3.
i*(i - 1)**2*(i + 2)/3
Let y(c) = -2*c**3 + 6*c**2 + 7*c - 15. Let w be (-3 + 4)/(1/(-6)). Let n(k) = 2*k**3 - 6*k**2 - 6*k + 14. Let x(v) = w*y(v) - 7*n(v). Factor x(o).
-2*(o - 2)**2*(o + 1)
Let g be 341/(-93) + 1*4. Factor -1/3*z**2 + g*z**4 + 0 - 1/3*z**3 + 1/3*z.
z*(z - 1)**2*(z + 1)/3
Let o be 52/16 + 2/(-8). Find r such that 4/3*r**2 - 2/3*r + 0 - 2/3*r**o = 0.
0, 1
Suppose -24*f + 8 = 8. Factor f*s**3 + 1/3*s**4 + 1/3 + 0*s - 2/3*s**2.
(s - 1)**2*(s + 1)**2/3
Let x(f) be the second derivative of -f**5/4 + 5*f**4/12 - f. Suppose x(m) = 0. Calculate m.
0, 1
Let w(h) be the first derivative of h**4/12 - h**3/3 + h**2/2 + 3*h - 3. Let g(m) be the first derivative of w(m). Suppose g(k) = 0. Calculate k.
1
Let d be (-3)/((18/(-4))/3). Factor -3*t**3 + 8*t**2 - 10*t**d + 2*t - 2*t**3 + 3*t**3 + 2.
-2*(t - 1)*(t + 1)**2
Let v be 5 + -3*(-6)/(-9). Let 30*k**v + 4*k - 4*k - 15*k**3 + 9*k**4 + 6*k**2 = 0. What is k?
-1, -2/3, 0
Let z(i) = i - 3. Let b be z(8). Suppose 0 = h - b*h. Suppose 1/2*l**2 + h*l - 1/2 = 0. Calculate l.
-1, 1
Factor g**2 + 6 + 4*g - 2*g - 5.
(g + 1)**2
Let t be (-2)/4*-2 - 1. Let v(d) be the third derivative of 0*d**4 + 1/420*d**7 + 1/120*d**5 + 0*d**3 + 0 + t*d + 1/120*d**6 - 2*d**2. Factor v(u).
u**2*(u + 1)**2/2
Let s(f) be the third derivative of -f**8/840 + f**7/210 - f**6/180 - f**3/2 + 3*f**2. Let g(c) be the first derivative of s(c). Factor g(m).
-2*m**2*(m - 1)**2
Let a(g) be the third derivative of g**7/630 - g**5/180 + 6*g**2. Suppose a(s) = 0. Calculate s.
-1, 0, 1
Let l(r) be the first derivative of -1 + 0*r - 1/12*r**6 - 1/8*r**4 - 1/5*r**5 + 0*r**3 + 0*r**2. Factor l(q).
-q**3*(q + 1)**2/2
Let u(q) be the first derivative of -q**9/3024 + q**7/840 - 2*q**3/3 + 3. Let h(a) be the third derivative of u(a). Find o, given that h(o) = 0.
-1, 0, 1
Let m(o) be the third derivative of 1/60*o**5 + 0 - 2/9*o**3 - 1/360*o**6 + 0*o + 0*o**4 + 3*o**2. Factor m(w).
-(w - 2)**2*(w + 1)/3
Let j(r) = -r**4 + r**2 + 2*r - 2. Let n(q) = -3*q**4 + 2*q**2 + 6*q - 7. Let i(y) = 14*j(y) - 4*n(y). Factor i(a).
-2*a*(a - 2)*(a + 1)**2
Let r = 12 + -6. Suppose -r = -0*m - 3*m. Factor -w**2 - 1 + 0*w**2 + 3*w**m - w**4.
-(w - 1)**2*(w + 1)**2
Let k(t) = -t**2 + 14*t + 10