)/3
Let x(v) be the second derivative of v**4/3 - 2*v**3/3 + 6*v. What is y in x(y) = 0?
0, 1
Suppose 0 = m + 8*m - 27. Factor -10/7*s + 8/7*s**2 - 2/7*s**m + 4/7.
-2*(s - 2)*(s - 1)**2/7
Let i(j) = -2*j - 15. Let g be i(-10). What is t in -t**5 + t**4 + 5*t**5 - 2*t**4 - 3*t**g = 0?
0, 1
Solve -2/7*h - 4/7 + 2/7*h**2 = 0.
-1, 2
Let r be (-260)/(-75) + -3 - (-1)/3. Solve 2/5*d**3 - r*d + 0 - 2/5*d**2 = 0.
-1, 0, 2
Let a = -2/2783 - 242117/5566. Let n = 44 + a. Factor 1/2 - 1/2*d**2 - 1/2*d**3 + n*d.
-(d - 1)*(d + 1)**2/2
What is i in 1/2*i**2 + 1/2*i - 1 = 0?
-2, 1
Factor -7*u**2 - 16*u**3 + 4 + 16*u**2 + 4*u**4 + 15*u**2 - 16*u.
4*(u - 1)**4
Let z(o) be the third derivative of -o**6/280 - o**5/70 + o**4/14 + 4*o**3/7 + 10*o**2. Solve z(d) = 0.
-2, 2
Let h(p) be the first derivative of -p**5/60 - p**4/16 + p**3/6 + 3*p**2/2 + 6. Let c(t) be the second derivative of h(t). Factor c(b).
-(b + 2)*(2*b - 1)/2
Let q(b) be the third derivative of -b**6/60 + b**4/4 - 2*b**3/3 + 31*b**2. Factor q(c).
-2*(c - 1)**2*(c + 2)
Suppose 56*r**5 - 2 - 22*r**3 + 17*r - 2 - 51*r - 82*r**2 + 36*r**4 + 50*r**4 = 0. What is r?
-1, -2/7, -1/4, 1
Find x, given that 39/4*x**2 - 9/2*x + 15/4*x**3 + 0 = 0.
-3, 0, 2/5
Let q = -8 - -6. Let o = q + 6. Let -5*j**3 - 2*j**5 - j**3 + 4*j**o - 3*j**4 + 5*j**4 + 2*j**2 = 0. Calculate j.
0, 1
Suppose 2*v = 9*v + 16*v. Let u(n) be the first derivative of -1 + 5/14*n**4 - 4/7*n**2 + 16/21*n**3 + v*n. What is b in u(b) = 0?
-2, 0, 2/5
Suppose -72 = -14*v - 4*v. Determine r, given that -1/5*r**2 + 0*r - 1/5*r**3 + 1/5*r**5 + 0 + 1/5*r**v = 0.
-1, 0, 1
Let j(h) = 5*h**2 - h - 2. Let m(k) = -4*k**2 + k + 2. Let c(r) = -3*j(r) - 4*m(r). Solve c(d) = 0.
-1, 2
Let h(t) be the third derivative of -t**7/5040 + t**6/1440 + t**5/120 - t**4/12 - 3*t**2. Let b(p) be the second derivative of h(p). What is a in b(a) = 0?
-1, 2
Solve -p - 1/4 + 5/4*p**2 = 0 for p.
-1/5, 1
Let h(c) be the third derivative of -c**8/5880 - c**7/980 + c**5/105 + c**3/2 - 2*c**2. Let k(q) be the first derivative of h(q). Factor k(m).
-2*m*(m - 1)*(m + 2)**2/7
Let b(p) be the third derivative of 1/210*p**7 + 0 + 1/60*p**6 - 1/12*p**4 + 0*p**5 - 1/6*p**3 - 2*p**2 + 0*p. Factor b(d).
(d - 1)*(d + 1)**3
Let s be (1/(-3))/((-4)/42). Factor -s*i**3 + 8*i - 2 - 5/2*i**2.
-(i - 1)*(i + 2)*(7*i - 2)/2
Let k(w) = -4*w**3 + w**2 + 11*w + 7. Let d(v) = v**3 + v**2 - v - 1. Let h(p) = -28*d(p) - 4*k(p). Solve h(b) = 0.
-2, -2/3, 0
Let q = 79/10 + -37/5. Factor -x + 0*x**2 + x**3 + 1/2*x**4 - q.
(x - 1)*(x + 1)**3/2
Let h(n) be the second derivative of -n**6/30 + 3*n**5/20 - n**4/12 - n**3/2 + n**2 + 19*n. Factor h(d).
-(d - 2)*(d - 1)**2*(d + 1)
Find k, given that 0 + 0*k + 3/5*k**3 + 0*k**2 + 3/5*k**4 = 0.
-1, 0
Suppose 4/7*j**3 - 1/7 - 3/7*j**2 + 4/7*j**4 - 4/7*j = 0. What is j?
-1, -1/2, 1
Let l(i) = -11*i**2 - 24*i**2 - 14*i**3 + 19*i + 51*i**3 + 7. Let z(d) = 19*d**3 - 17*d**2 + 10*d + 4. Let m(j) = 4*l(j) - 7*z(j). Determine o so that m(o) = 0.
0, 2/5, 1
Let g(z) be the second derivative of -z**5/22 + 13*z**4/66 - 4*z**3/33 - 4*z**2/11 + 11*z. Let g(s) = 0. What is s?
-2/5, 1, 2
Let z be (-1)/(4/(-24)*2). Solve -2 - 468*r**z - 16*r - 324*r**4 + 2 - 160*r**2 = 0.
-1, -2/9, 0
Let g = 67/33 + -4/11. Let z(o) be the second derivative of 0 + o**2 + 5/3*o**4 - g*o**3 + 1/3*o**6 - 2*o - o**5 - 1/21*o**7. Factor z(b).
-2*(b - 1)**5
Let a(d) be the third derivative of 0*d**3 + 1/20*d**5 + 9*d**2 + 3/14*d**7 + 0*d + 9/112*d**8 + 7/40*d**6 + 0 + 0*d**4. Suppose a(y) = 0. What is y?
-1, -1/3, 0
Let f(m) be the first derivative of 1/6*m**2 + 0*m - 1/15*m**5 - 3 - 1/12*m**4 + 1/9*m**3. Factor f(j).
-j*(j - 1)*(j + 1)**2/3
Let m(c) be the third derivative of c**8/112 - c**7/14 + c**6/10 + 18*c**2. Solve m(n) = 0.
0, 1, 4
Let v(x) be the second derivative of x**5/50 - 9*x**4/10 + 81*x**3/5 - 729*x**2/5 + 34*x. Let v(q) = 0. Calculate q.
9
Let q(r) be the second derivative of -r**7/21 + 3*r**6/5 - 3*r**5/10 - 73*r**4/6 - 32*r**3 - 36*r**2 - 48*r. Factor q(h).
-2*(h - 6)**2*(h + 1)**3
Let g be (0 - 1)/(9/27)*-1. Let 1/6*k**4 + 1/6*k - 1/6*k**2 - 1/6*k**g + 0 = 0. Calculate k.
-1, 0, 1
Factor -16/5 - 4/5*h**2 - 4*h.
-4*(h + 1)*(h + 4)/5
Let g = -154/5 + 31. Let i(w) be the second derivative of 2*w + 0 + g*w**2 - 1/30*w**3 - 1/60*w**4. Determine y so that i(y) = 0.
-2, 1
Let z = 312/5 + -2768/45. Let -8/9 - 2/9*a**2 + z*a = 0. What is a?
2
Factor 1/4*v - 1/4*v**4 + 1/4*v**2 - 1/4*v**3 + 0.
-v*(v - 1)*(v + 1)**2/4
Suppose 0 = -25*p + 17*p + 16. Factor 9/2*t - 3/2*t**5 - 3*t**3 + 3/2 - 9/2*t**4 + 3*t**p.
-3*(t - 1)*(t + 1)**4/2
Let o be (0/(-1) - 0)*-1. Factor -1/2 + 0*v**3 - 1/2*v**4 + o*v + v**2.
-(v - 1)**2*(v + 1)**2/2
Let a(c) = -17*c + 119. Let p be a(7). Find k such that p*k + 0*k**2 + 0*k**3 - 1/6*k**4 + 1/6*k**5 + 0 = 0.
0, 1
Let h(n) be the second derivative of n**5/60 - n**4/8 + n**3/3 - n**2 + 2*n. Let a(d) be the first derivative of h(d). Factor a(t).
(t - 2)*(t - 1)
Let d(h) be the third derivative of 1/60*h**6 + 0*h + 1/105*h**7 - 1/30*h**5 - 1/12*h**4 + 0*h**3 - 4*h**2 + 0. Suppose d(n) = 0. Calculate n.
-1, 0, 1
Let s(v) = -2*v**3 + 3*v**2 + 7*v - 3. Let y(i) = 6*i**3 - 8*i**2 - 20*i + 8. Let w(r) = -14*s(r) - 5*y(r). Factor w(p).
-2*(p - 1)*(p + 1)**2
Let h(v) = 15*v**2 - 25. Let f(x) = 5*x**2 - 8. Let a(j) = -10*f(j) + 3*h(j). Factor a(i).
-5*(i - 1)*(i + 1)
Let l(m) be the third derivative of 9/56*m**8 - 3/10*m**6 - 3*m**2 - 13/15*m**5 + 0 - 3/4*m**4 + 9/35*m**7 - 1/3*m**3 + 0*m. Factor l(z).
2*(z - 1)*(z + 1)*(3*z + 1)**3
Let y(g) be the first derivative of -g**6/360 + g**5/120 + 5*g**3/3 - 2. Let k(z) be the third derivative of y(z). Suppose k(t) = 0. Calculate t.
0, 1
Let a(x) be the third derivative of x**6/60 + x**5/30 - 2*x**4/3 - 4*x**3 - 29*x**2. Solve a(k) = 0.
-2, 3
Let t(d) = 147*d**2 - 189*d + 27. Let v(x) = -21*x**2 + 27*x - 4. Let w(c) = 2*t(c) + 15*v(c). Factor w(i).
-3*(i - 1)*(7*i - 2)
Let y(d) be the first derivative of -2*d**5/25 - 2*d**4/5 - 4*d**3/15 + 4*d**2/5 + 6*d/5 + 66. Suppose y(o) = 0. Calculate o.
-3, -1, 1
Suppose p - 24 = 3*p. Let w be ((-6)/9)/(4/p). Solve -2/5*r**3 + 2/5*r**w + 2/5*r - 2/5 = 0.
-1, 1
Let f(s) be the third derivative of -5*s**8/336 - s**7/42 + s**6/12 + s**5/6 - 5*s**4/24 - 5*s**3/6 - 7*s**2. Factor f(p).
-5*(p - 1)**2*(p + 1)**3
Let v be 4/6 - (-1)/(-6). Let r = -243/2 - -123. Find k, given that -v - r*k - 1/2*k**3 - 3/2*k**2 = 0.
-1
Suppose 16 = 2*o - 5*m, 4*m = 2*o + 2*o - 56. Let l be 3/o*6/4. Suppose 1/4*a**2 + 0 - l*a = 0. Calculate a.
0, 1
Let c(v) = -3*v**2 + 11*v + 2. Let m(o) = -7*o**2 + 23*o + 3. Let l(j) = -9*c(j) + 4*m(j). Let u be l(-6). Factor u + 1/5*b - 1/5*b**2.
-b*(b - 1)/5
Factor 54/11 + 54/11*y + 18/11*y**2 + 2/11*y**3.
2*(y + 3)**3/11
Suppose 8*n - 20 = -2*b + 4*n, -2*b + n = 0. Let z = 84 - 417/5. Factor z*a**3 + 0 + 3/5*a**b + 1/5*a + 1/5*a**4.
a*(a + 1)**3/5
Let v be (-24)/(-3) + 3 - -2. Let c = v - 13. Determine h so that c + 4/5*h**2 - 2/5*h - 2/5*h**3 = 0.
0, 1
Factor -1/4*c**3 - 1/4 + 1/4*c + 1/4*c**2.
-(c - 1)**2*(c + 1)/4
Suppose 2*i - 5*m - 5 = 0, 5*i = 5*m + 18 + 2. Solve q + i*q - 2 - 2*q**2 - 2*q = 0.
1
Let s(l) = 6*l**3 - 16*l**2 - 11*l. Let a(y) = -y**3 + 3*y**2 + 2*y. Suppose 2*d = 3*u + d - 33, -5*d + 33 = 3*u. Let q(w) = u*a(w) + 2*s(w). Solve q(c) = 0.
-1, 0
Let j be (-110)/(-14) - (-1)/7. Suppose u = -4*f + 2, j*u - 3*u - 5*f = 10. Let -1/5 + 1/5*r**u + 4/5*r - 4/5*r**3 = 0. What is r?
-1, 1/4, 1
Let g = -39 - -41. Factor 2/7*b**g - 2/7*b + 0.
2*b*(b - 1)/7
Let l(h) = 7*h**2 - 3*h - 5. Let m(v) = 4*v**2 - v - 2. Let d(n) = 3*l(n) - 5*m(n). Factor d(s).
(s - 5)*(s + 1)
Suppose -b + 4 = 2*g, -2*b + 2*g - 5*g = -7. Factor -3/5*i**b - 6/5 - 9/5*i.
-3*(i + 1)*(i + 2)/5
Let v(k) be the second derivative of -3*k + 1/3*k**3 - 1/3*k**2 + 1/30*k**5 - 1/6*k**4 + 0. Find d such that v(d) = 0.
1
Let u be 2 + 0 + 568/(-288). Let v(n) be the second derivative of 0*n**5 + 1/90*n**6 + 0*n**2 + 0 - u*n**4 + 0*n**3 - 2*n. Suppose v(r) = 0. Calculate r.
-1, 0, 1
Let c(n) be the second derivative of n**4/30 + n**3/5 + 2*n**2/5 + 3*n. Find s, given that c(s) = 0.
-2, -1
Let f(x) be the first derivative of x**8/4200 - x**7/700 + x**6/300 - x**5/300 + x**3 - 1. Let u(g) be the third derivative of f(g). Fac