hird derivative of -y**7/525 - y**6/300 + 2*y**5/75 + y**4/15 + 3*y**2 - 8*y. Let t(l) = 0. What is l?
-2, -1, 0, 2
Let r(x) = -x**2 - 1. Let t(k) = -6*k**2 - 2*k - 10. Let a(y) = -35*r(y) + 5*t(y). Factor a(o).
5*(o - 3)*(o + 1)
Suppose y = 2*y + 3*m - 5, 4*y = -4*m + 52. Determine p so that 3*p**4 - 3*p**5 + y*p**3 - 14*p**3 - 6*p**2 + 3*p**2 = 0.
-1, 0, 1
Let u(p) be the first derivative of 6*p**5/35 + 9*p**4/14 + 2*p**3/7 - 9*p**2/7 - 12*p/7 - 23. Suppose u(v) = 0. What is v?
-2, -1, 1
Let w be -3 + (-9)/(-39) + 3. Let q = w + -2/65. Suppose q*y**2 + 0 - 1/5*y**3 + 0*y = 0. Calculate y.
0, 1
Let j(b) be the first derivative of 3*b**5/20 - 3*b**4/4 + b**3 - b + 1. Let l(h) be the first derivative of j(h). Find z such that l(z) = 0.
0, 1, 2
Let y(o) be the first derivative of 3*o**3 + 0*o - 3*o**2 + 5 - 3/4*o**4. Let y(p) = 0. What is p?
0, 1, 2
Let r(x) be the third derivative of 0*x + 0*x**3 + 0*x**4 - x**2 - 1/20*x**5 + 1/40*x**6 + 0. Suppose r(v) = 0. What is v?
0, 1
Let c(u) be the third derivative of u**5/30 - 5*u**4/6 + 25*u**3/3 + 6*u**2. Factor c(r).
2*(r - 5)**2
Suppose 2*a = -3*a + 135. Factor 21*n**4 + 4 - 27*n - 15*n**2 - 11 + a*n**3 + 1.
3*(n - 1)*(n + 1)**2*(7*n + 2)
Suppose -5*j - 1 = -7*w + 3*w, 2*w = 3*j + 1. Let t be (7/42)/(w/(-3)). What is r in 1/2*r - 1/2 + t*r**2 - 1/2*r**3 = 0?
-1, 1
Let l(o) = o**3 + 6*o**2 + 8. Let q be l(-6). Suppose 0*k = 4*k - q. Factor -2/5*s**k + 0*s - 2/5*s**5 + 0 - 6/5*s**4 - 6/5*s**3.
-2*s**2*(s + 1)**3/5
Let v(c) be the second derivative of 7*c**5/10 + c**4/3 + c. Solve v(y) = 0 for y.
-2/7, 0
Suppose 1 + 1 = 2*l, 3*l = 5*f - 12. Let b(y) be the first derivative of 0*y + 1/2*y**2 - 1/2*y**4 + 0*y**f + 1/6*y**6 + 3 + 0*y**5. Factor b(a).
a*(a - 1)**2*(a + 1)**2
Factor 1/7*l - 1/7*l**2 + 2/7.
-(l - 2)*(l + 1)/7
Let -2/7 - 9/7*y - 4/7*y**2 = 0. What is y?
-2, -1/4
Suppose 0*t - 6*t + 18 = 0. Factor 0 - 1/3*y - 4/3*y**t + 4/3*y**2.
-y*(2*y - 1)**2/3
Let y(n) be the second derivative of 1/10*n**6 - 1/14*n**7 + 3*n + 0*n**2 + 0 + 3/20*n**5 + 0*n**3 - 1/4*n**4. Factor y(j).
-3*j**2*(j - 1)**2*(j + 1)
Let l(i) be the second derivative of i**4/54 + i**3/27 - 2*i**2/3 + 5*i + 5. Find b such that l(b) = 0.
-3, 2
Let s(l) be the first derivative of 48*l**5/5 + 18*l**4 + 9*l**3 + 3*l**2/2 + 1. Factor s(g).
3*g*(g + 1)*(4*g + 1)**2
Let z(v) = -8*v**3 + 8*v**2 - 8. Let t(c) = c**3 + c**2 + c - 1. Let j(f) = -4*t(f) - z(f). Find y such that j(y) = 0.
-1, 1, 3
Let t = -16/9 - -107/45. Suppose t*h - 2/5 - 1/5*h**2 = 0. What is h?
1, 2
Suppose 5*h - g + 59 = 0, -41 = 2*h - 3*g - 7. Let r(f) = f**2 + 9*f - 1. Let v be r(h). Factor -5*o**3 - 7*o**2 - 21 - 2*o + v.
-o*(o + 1)*(5*o + 2)
Let 0*r + 0*r**2 + 0 - 1/6*r**4 - 1/6*r**3 = 0. What is r?
-1, 0
Let h be 1*(-60)/(-144) + 1/12. Factor 0*a**2 + h*a**3 - 1/4*a**4 - 1/2*a + 1/4.
-(a - 1)**3*(a + 1)/4
Let v be 0 - (4 - 3)*-9. Factor -v*w - 5 + 2 + 4*w**3 - 7*w**3 - 4*w**2 - 5*w**2.
-3*(w + 1)**3
Let o(m) = 8*m + 6. Let d(x) = -x**3 + x**2. Let t(s) = -5*s**3 + 4*s**2 - 17*s - 13. Let y(a) = -4*d(a) + t(a). Let r(g) = 5*o(g) + 2*y(g). Solve r(n) = 0.
-1, 2
Suppose -4*d - 214 = -2*w, 5*d - 58 = -2*w - 303. Let r be (2/7)/(d/(-119)). Factor 2/3*f**2 + 0*f - r.
2*(f - 1)*(f + 1)/3
Let w(l) = -7*l - 3*l - l**2 + 9*l. Let q(t) be the third derivative of 2*t**7/105 - t**6/40 + t**4/3 + t**3/6 + t**2. Let b(v) = q(v) + 5*w(v). Factor b(i).
(i - 1)**2*(i + 1)*(4*i + 1)
Let h be (-5)/(2*1/(-2)). Suppose 3*k**4 + 5*k**5 - 4*k**2 - 7*k**h + k**5 = 0. Calculate k.
-1, 0, 2
Let j(v) be the first derivative of -2 - 2/15*v**3 + 4/5*v + 1/5*v**2. Factor j(x).
-2*(x - 2)*(x + 1)/5
Let p(w) = -10*w**3 + 70*w**2 - 85*w + 25. Let m(f) = 9*f**3 - 71*f**2 + 86*f - 26. Let y(a) = 5*m(a) + 6*p(a). Let y(c) = 0. Calculate c.
1/3, 2
Solve -3*p - 10*p**3 - 3*p - 15*p**2 + p**3 = 0 for p.
-1, -2/3, 0
Suppose -5*p = n + 8, 24*n = 23*n - 2*p - 2. Factor 0 - 6/5*s - 2/5*s**n.
-2*s*(s + 3)/5
Let h(x) be the third derivative of x**6/540 - x**5/135 - 26*x**2. Solve h(g) = 0.
0, 2
Let r(q) be the third derivative of -q**5/72 + 5*q**4/48 + 5*q**3/9 - 27*q**2. Factor r(v).
-5*(v - 4)*(v + 1)/6
Let n(p) = p**3 - 6*p**2 - 2*p + 17. Let j be n(6). Let c(d) be the first derivative of -1 + 6*d**2 + 3*d + 6*d**3 + 3/5*d**j + 3*d**4. Factor c(v).
3*(v + 1)**4
Let i = 8 + -5. Let w = i + -1. Factor 3 - 5*c**2 - w*c + 5*c - 1.
-(c - 1)*(5*c + 2)
Suppose 2*f = 5*b - 6, -2*b - 2*b - 2*f = -12. Factor 1/4*x**b + 0 + 1/4*x.
x*(x + 1)/4
Let l(z) be the second derivative of z**4/60 - z**3/15 - 12*z. Determine a so that l(a) = 0.
0, 2
Let c(m) be the second derivative of -m + 0*m**2 - 1/9*m**3 + 1/18*m**4 + 0. Solve c(y) = 0 for y.
0, 1
Suppose 5*o = 9 + 6. Let y(i) be the second derivative of 1/18*i**o + 1/72*i**4 - 1/60*i**5 + 0 - 1/180*i**6 - 3*i + 0*i**2. Let y(h) = 0. Calculate h.
-2, -1, 0, 1
Let m(n) = -2*n - 28. Let w be m(-16). Let t(f) be the first derivative of 2/15*f**3 - 3/10*f**w + 0*f**2 + 0*f - 3. Factor t(k).
-2*k**2*(3*k - 1)/5
Let o(m) be the first derivative of -m**7/210 - m**6/120 + m**5/60 + m**4/24 - 2*m**2 + 2. Let l(h) be the second derivative of o(h). Factor l(d).
-d*(d - 1)*(d + 1)**2
Let n be 2 - 2 - (3 - 145/48). Let m(i) be the second derivative of 0 + 0*i**2 + 0*i**3 + n*i**4 + 2*i. Factor m(r).
r**2/4
Let q(s) be the first derivative of 0*s - 1/60*s**5 + 0*s**4 + 1/6*s**3 - 3 - 1/2*s**2. Let m(b) be the second derivative of q(b). Suppose m(o) = 0. What is o?
-1, 1
Let g(c) be the first derivative of 0*c - 3 - 1/2*c**4 + c**2 + 2/3*c**3 - 2/5*c**5. Determine s so that g(s) = 0.
-1, 0, 1
Let r(v) = 2*v**2 + v - 5. Let o(u) = 6*u**2 + 4*u - 16. Let m(c) = 5*o(c) - 16*r(c). What is n in m(n) = 0?
0, 2
Let x(h) be the first derivative of h**4/8 + 2*h**3/3 + 5*h**2/4 + h - 8. Suppose x(g) = 0. Calculate g.
-2, -1
Let g = -2 + 2. Let a(l) = -l**3 + 2*l**2 + 3*l - 3. Let m be a(2). Solve 5*q**m - 7*q**5 + g*q**4 - 2*q**2 + 2*q - 6*q**4 - 3*q**4 + 11*q**2 = 0.
-1, -2/7, 0, 1
Let w be 8/1 + (-9)/((-36)/(-16)). Let l(x) be the third derivative of -x**2 + 0 + 1/30*x**5 + 1/3*x**3 + 0*x + 1/6*x**w. Find m such that l(m) = 0.
-1
Let f(h) be the second derivative of 0 - 1/48*h**4 + 0*h**2 - 1/12*h**3 - 10*h. Factor f(s).
-s*(s + 2)/4
Let r(t) be the third derivative of 11/60*t**7 + 2/3*t**4 + 17/240*t**6 - 73/120*t**5 + 0 + 3*t**2 + 0*t - 1/3*t**3 - 7/96*t**8. Suppose r(s) = 0. What is s?
-1, 2/7, 1
Let f(w) be the third derivative of -1/60*w**5 + 0*w**3 + 0*w**4 + 1/80*w**6 + 6*w**2 - 1/672*w**8 + 0*w + 0 + 0*w**7. Factor f(g).
-g**2*(g - 1)**2*(g + 2)/2
Let a be (1/(-2))/(1/(-6)). Suppose a*o - 14 = -4*x, -4*o + 2*x + 6 = o. Determine z so that z - 1/2*z**o - 1/2 = 0.
1
Let b(w) be the second derivative of -w**6/150 - w**5/10 - 3*w**4/5 - 28*w**3/15 - 16*w**2/5 - 5*w. Let b(s) = 0. Calculate s.
-4, -2
Let s(g) be the third derivative of g**8/10080 + g**7/2520 + g**5/20 - 4*g**2. Let u(y) be the third derivative of s(y). Factor u(z).
2*z*(z + 1)
Let w(s) be the first derivative of 5*s**4/2 + 15*s**3 + 25*s**2 + 15*s - 23. Factor w(v).
5*(v + 1)*(v + 3)*(2*v + 1)
Find v such that -18/7*v**2 + 0 - 22/7*v**3 + 4/7*v = 0.
-1, 0, 2/11
What is x in 2*x**2 + 63*x**3 - x**4 - 1 - 63*x**3 = 0?
-1, 1
Suppose -150 = -23*g + 18*g. Let w be g/9*(-10)/(-75). Suppose 2/9*j**2 + 2/9 - w*j = 0. Calculate j.
1
Let f(j) be the second derivative of 1/3*j**2 - 1/6*j**3 - 5/36*j**4 + 0 + 5*j. Factor f(p).
-(p + 1)*(5*p - 2)/3
Let q(y) be the second derivative of 0 - 3*y + 0*y**2 + 1/80*y**5 + 0*y**4 - 1/24*y**3. Suppose q(d) = 0. Calculate d.
-1, 0, 1
Suppose 0*d + d = 7. Find z, given that -z**2 + z**4 + d - 3*z**3 + z**5 + 2*z - 7 = 0.
-2, -1, 0, 1
Let y(m) be the third derivative of -1/40*m**6 + 0*m + 1/2*m**5 - 2/35*m**7 - 5*m**2 - 4*m**3 + 0 - 1/112*m**8 + 1/2*m**4. Solve y(f) = 0 for f.
-2, 1
Let a be 3/(-2*(-42)/7). Determine w so that 0*w + 0 - 1/8*w**5 + 1/8*w**3 - 1/4*w**2 + a*w**4 = 0.
-1, 0, 1, 2
Let y(l) be the third derivative of 0*l**4 - 1/330*l**5 + 1/660*l**6 - 3*l**2 + 0 + 0*l + 0*l**3. Solve y(o) = 0.
0, 1
Factor f**2 + 1/2*f**3 + 0 + 1/2*f.
f*(f + 1)**2/2
Let d be (2 - 18/45)/(2/5). Factor 2/3*t**3 + 16/3 + d*t**2 + 8*t.
2*(t + 2)**3/3
Let g = 24 - 21. Suppose 16*n**4 + 13*n**4 + 1 - 4*n + 2*n**