e first derivative of -3 + 0*h + 1/6*h**2 + 1/9*h**3. Let n(r) = 0. Calculate r.
-1, 0
Let i(a) = 8*a**4 - a**3 - 17*a**2 + 13*a - 3. Let z(g) = -g**4 + g**3 - g**2 + g. Let s(c) = -i(c) - 4*z(c). Suppose s(x) = 0. What is x?
-3, 1/4, 1
Let z(a) be the second derivative of a**4/42 + 4*a**3/21 + 4*a**2/7 + 4*a. Factor z(l).
2*(l + 2)**2/7
Let v be 4/(-4 + 3/3 - -4). Factor 0 - 2/3*d**v + 2/3*d**2 + 0*d + 0*d**3.
-2*d**2*(d - 1)*(d + 1)/3
Let g**3 + 4 - 5 + 3 + 4*g**2 + 5*g = 0. What is g?
-2, -1
Suppose 1 = c - 2. Suppose -f = 3*m - 3, 0*f + 4*m = 2*f - 6. Factor -4 + f - c*u**2 + 4*u**2.
(u - 1)*(u + 1)
Suppose -5*a - 7 + 22 = -k, -4*a + 21 = k. Suppose -4*c = -k*c. Suppose 0*p**3 - 2/9*p**4 + 2/9*p**2 + c*p + 0 = 0. Calculate p.
-1, 0, 1
Factor 1/4*n**3 + 1/4*n + 1/2*n**2 + 0.
n*(n + 1)**2/4
Suppose l - 12 = -3*l. Factor -l + 4*b + 4*b + 3 - 4*b**2.
-4*b*(b - 2)
Let j = 2/159 - -149/795. Let h(m) be the second derivative of 0 + 1/30*m**6 + 0*m**2 - j*m**5 - 1/3*m**3 - m + 5/12*m**4. Factor h(v).
v*(v - 2)*(v - 1)**2
Suppose 5*w**3 + 2*w**5 - 7*w**3 + 2*w - 2*w**3 = 0. Calculate w.
-1, 0, 1
Let n be 0 + -2 - 561/440. Let u = -23/8 - n. Factor 2/5*b + 0 + u*b**2.
2*b*(b + 1)/5
Factor 3*v + 3/4*v**4 - 9/4*v**2 - 1/2*v**3 - 1.
(v - 1)**2*(v + 2)*(3*v - 2)/4
Let o(y) = 10*y**4 - 20*y**3 + 5*y**2 - 5. Let m(k) = -9*k**4 + 18*k**3 - 5*k**2 + 4. Let c(s) = -5*m(s) - 4*o(s). Let c(l) = 0. What is l?
0, 1
Let n be (1 + -13)/(-2) - 1. Suppose 0 = 5*v - 5, 2*o + n*v - 12 = -1. Find f such that f**5 + 2*f - 2*f**3 - 2*f**o + f**5 = 0.
-1, 0, 1
Let w(q) be the third derivative of 0 + 2*q**2 - 1/15*q**4 + 0*q + 1/150*q**5 + 1/5*q**3. Factor w(d).
2*(d - 3)*(d - 1)/5
Let l(k) be the first derivative of 3/4*k**2 - 3/8*k**4 + 1/2*k**3 - 3/10*k**5 + 0*k - 1. What is o in l(o) = 0?
-1, 0, 1
Factor -28 - 4*n + 28 - 16*n**5 + 18*n**5 - 6*n**3 + 10*n**2 - 2*n**4.
2*n*(n - 1)**3*(n + 2)
Suppose 11 + 19 = 2*x. Suppose x*y = 16*y - 2. Factor 0 + 6/7*o**4 - 10/7*o**3 + 2/7*o**y + 2/7*o.
2*o*(o - 1)**2*(3*o + 1)/7
Let r(j) = -j**4 - j**3 - j**2. Let u = 14 + -11. Let l(i) = 7*i**4 + 3*i**3 - i**2 - 7*i - 2. Let c(a) = u*l(a) + 24*r(a). Find p, given that c(p) = 0.
-2, -1
Let d(n) be the third derivative of 3*n**6/8 + 49*n**5/20 - 21*n**4/4 + 4*n**3 - 4*n**2 - 4*n. Factor d(c).
3*(c + 4)*(3*c - 1)*(5*c - 2)
Suppose 9*v - 29 = 7. Suppose 1 - 25/2*d**2 + 23/2*d**v + 10*d**5 - 1/2*d - 19/2*d**3 = 0. What is d?
-1, -2/5, 1/4, 1
Suppose 5*s + 2 = 2*b - 2, -4*b + 8 = -2*s. Let x = s + 1. Factor t**3 - x + t + 0*t**3 - 2*t + t**2.
(t - 1)*(t + 1)**2
Let p be (-5)/((-1 - -3)/(-2)). Suppose 15 = -p*t + 5*h, 2 = -5*t - 4*h + 32. Find u such that t*u**2 + 2*u**3 - 4*u + 0*u**2 + 3*u**2 - 3*u**2 = 0.
-2, 0, 1
Let o be (-4)/(-18) + 170/45. Let -4*f**3 + 0*f**2 + 8*f**4 - f**2 + 4*f**5 - 7*f**o = 0. What is f?
-1, -1/4, 0, 1
Let t(n) be the first derivative of 3*n**4/4 + 4*n**3 + 15*n**2/2 + 6*n - 8. Factor t(h).
3*(h + 1)**2*(h + 2)
Let x(z) = -6*z**2 + 6*z - 3. Let l(r) = -5*r**2 + 5*r - 2. Let y(k) = -3*l(k) + 2*x(k). Factor y(g).
3*g*(g - 1)
Suppose -4*f - 6 = -5*q + 5, 4*q - 8 = 4*f. What is t in -2*t - 2*t + 5*t**3 - 2*t**4 + t**q - 4*t = 0?
-1, 0, 2
Suppose 0*w - w = w. Factor -f**3 - 1/3*f + f**2 + 1/3*f**4 + w.
f*(f - 1)**3/3
Let c(x) be the first derivative of 1/5*x - 1/30*x**6 - 1/10*x**2 - 2/15*x**3 + 1/25*x**5 + 1/10*x**4 - 3. Factor c(a).
-(a - 1)**3*(a + 1)**2/5
Let f(g) be the second derivative of -3*g + 0 + 1/9*g**3 + 1/6*g**2 + 1/36*g**4. Factor f(i).
(i + 1)**2/3
Let x = -14 - -18. Suppose -x*b - 104 = -4*s - 0*s, 5*s = 4*b + 128. Factor -3*m + 0 - 21/2*m**4 - 33/2*m**2 - s*m**3.
-3*m*(m + 1)**2*(7*m + 2)/2
Let x(d) be the first derivative of -3*d**5/5 - 9*d**4/2 - 12*d**3 - 12*d**2 - 1. Factor x(w).
-3*w*(w + 2)**3
Suppose 0 = 3*r - 13 + 1. Let o = 4 - r. Suppose 2/5*b**2 - 2/5*b + o = 0. What is b?
0, 1
Let d = 34 + -28. Let b(a) be the third derivative of 0*a - 1/30*a**5 - 1/180*a**d - a**2 + 0*a**3 + 0 - 1/18*a**4. Let b(r) = 0. What is r?
-2, -1, 0
Let z = 4 + 0. Factor -6*t + z*t + t**2 - 2*t**2.
-t*(t + 2)
Let f = 1268/11 + -114. Let b = f + -48/55. Factor b*g**3 - 2/5*g**2 + 2/5 - 2/5*g.
2*(g - 1)**2*(g + 1)/5
Let r = -22 + 24. Let a(l) be the first derivative of -1 + 1/2*l**4 - 1/15*l**5 + 0*l - 4/3*l**3 + 4/3*l**r. Find z, given that a(z) = 0.
0, 2
Let n(z) = -z**4 - z**2 - 2*z + 2. Let t = -23 - -12. Let r(a) = 4*a**4 - 7*a - 4*a - 3*a**2 - 10*a**4 + 11 - 2*a**2. Let u(x) = t*n(x) + 2*r(x). Factor u(b).
-b**2*(b - 1)*(b + 1)
Factor -8 + 7*g**4 + 8*g**3 + 46*g**2 - 47*g**3 + 6*g**3 - 12*g.
(g - 2)**2*(g - 1)*(7*g + 2)
Let h(k) be the first derivative of -7*k**4/2 - 80*k**3/3 - 44*k**2 + 32*k - 6. Factor h(s).
-2*(s + 2)*(s + 4)*(7*s - 2)
Let a(t) be the third derivative of -t**5/180 - t**4/72 + t**3/9 - 11*t**2. Factor a(b).
-(b - 1)*(b + 2)/3
Suppose -4*i + 3 = -5. Suppose 2*p - 5 = -5*z, i*z + 7 = -p + 2*p. Suppose -p*a**2 + 4*a**2 - 2*a**2 - 6*a - 3 + 0*a**2 = 0. What is a?
-1
Factor -4/5*x**4 - 20*x**2 - 8*x**3 + 0 + 0*x.
-4*x**2*(x + 5)**2/5
Let n(y) be the second derivative of y**5/70 + y**4/42 - 2*y**3/21 + 6*y. Suppose n(z) = 0. What is z?
-2, 0, 1
Let o(d) = -2*d - 11. Let q be o(-7). Factor -7*a**2 + a**q - 2*a**3 - 6 - 13*a - 3 - 2*a.
-(a + 1)*(a + 3)**2
Suppose 5*j + 4 + 1 = 0. Let t be j*1 - (3 - 6). Solve -2*v + v**t + v + v = 0.
0
Let o(s) be the first derivative of -2*s**7/525 + s**6/300 - 2*s**2 + 3. Let v(p) be the second derivative of o(p). Factor v(b).
-2*b**3*(2*b - 1)/5
Let o = 63 + -61. Solve 6/5*h**o + 0 - 1/5*h - 9/5*h**3 + 4/5*h**4 = 0.
0, 1/4, 1
Let o(h) be the third derivative of h**8/80640 - h**5/60 + 2*h**2. Let l(a) be the third derivative of o(a). Factor l(n).
n**2/4
Let c(w) be the second derivative of 1/30*w**5 + 1/18*w**4 + w**2 + 0 + 3*w - 5/9*w**3. Solve c(a) = 0.
-3, 1
Let j(v) be the second derivative of 0 - 1/105*v**6 + v + 0*v**5 + 1/21*v**4 - 1/7*v**2 + 0*v**3. Solve j(z) = 0 for z.
-1, 1
Suppose 0 = -7*s + 5*s + 4. Factor 0 - 4/11*i + 2/11*i**3 + 2/11*i**s.
2*i*(i - 1)*(i + 2)/11
Let t(c) be the second derivative of c**6/15 + c**5/2 + 3*c**4/2 + 7*c**3/3 + 2*c**2 + 9*c. Factor t(o).
2*(o + 1)**3*(o + 2)
Let h(g) = 6*g**4 - 10*g**3 + 3*g**2 + 10*g - 4. Let b(f) = -3*f**4 + 5*f**3 - f**2 - 5*f + 2. Let r(s) = -10*b(s) - 4*h(s). Find l such that r(l) = 0.
-1, 2/3, 1
Suppose 3*j - j = 270. Factor -8 - 343*o**3 - 34*o - 429*o**2 - 50*o + j*o**2.
-(7*o + 2)**3
Suppose -3*y - 4 = -5*y. Factor 2*a**2 + y*a - 2*a.
2*a**2
Let i = -1147/14 + 82. Let w(d) be the first derivative of -2/7*d + i*d**4 + 3/7*d**2 - 2/7*d**3 - 2. What is h in w(h) = 0?
1
Let n be (36 - 0) + 4/(-4). Let u be 14/n + 4/90. Determine j so that -2/3*j**3 + 2/9*j - u*j**2 + 0 = 0.
-1, 0, 1/3
Let w be (-238)/66 + 3/9. Let t = 199/44 + w. Determine k, given that -1/2 - t*k**3 - 9/4*k - 3*k**2 = 0.
-1, -2/5
Let k(r) be the first derivative of 3*r**4/16 - r**3/4 - 3*r**2/2 + 3*r - 16. Factor k(j).
3*(j - 2)*(j - 1)*(j + 2)/4
Let i = 47 - 187/4. Factor 1/4*y**2 + i + 1/2*y.
(y + 1)**2/4
Let p(q) be the first derivative of q**3 - 9*q**2/2 + 6*q + 2. Determine g so that p(g) = 0.
1, 2
Suppose 0 = 5*f - 2*t + 3*t + 42, 0 = 3*f + 2*t + 21. Let q = 9 + f. Factor 0*v + 2*v**3 + q - 4/5*v**2 + 14/5*v**4.
2*v**2*(v + 1)*(7*v - 2)/5
Suppose -7*t + 4 = -10. Let s(k) be the first derivative of -8/3*k**3 - 2*k + 1 + 5*k**t. Factor s(z).
-2*(z - 1)*(4*z - 1)
Let z(i) be the first derivative of 2 - 3*i - 1/15*i**5 - 2/9*i**3 - 1/6*i**4 - 1/6*i**2 - 1/90*i**6. Let k(r) be the first derivative of z(r). Factor k(c).
-(c + 1)**4/3
Let t(x) be the second derivative of -x**8/5880 + x**6/1260 - 2*x**3/3 - 4*x. Let q(s) be the second derivative of t(s). Suppose q(i) = 0. Calculate i.
-1, 0, 1
Suppose 4*b = 5*v + 6, -3*v - v + 4 = -b. Suppose 16 + b = 5*h. Let 2*d**h + 0*d**4 + 2*d**5 - 2*d**2 - d**5 - d = 0. What is d?
-1, 0, 1
Determine g so that 6*g - 21/4*g**3 - 3/4*g**5 - 3 + 15/4*g**4 - 3/4*g**2 = 0.
-1, 1, 2
Let -223*m**2 + 112*m**2 + 115*m**2 + 32*m = 0. What is m?
-8, 0
Let c(x) be the second derivative of -5*x - 8*x**2 - 1/3*x**4 - 8/3*x**3 + 0. Factor c(t).
-4*(t + 2)**2
Suppose -2*c = -4*y - 24, 3*c - 8 = 4*c + 2*y. Factor -6*h**2 + 0*h**2 + 4*h**c.
-2*h**2
Let o(u