alculate h.
-1/4, 0, 1
Let f(z) = -z**4 + z**3 - z**2 - z. Let o(j) = 5*j**3 + 2*j**2 + 2*j - 8*j**3 + j**3 + 4*j**4. Let i(x) = -3*f(x) - o(x). Determine t, given that i(t) = 0.
-1, 0, 1
Suppose -7*w = 2*w. Let v be (-2)/8*(-8)/3. Factor w - 1/3*u**2 + v*u.
-u*(u - 2)/3
Suppose -9 = -5*r + 21. Suppose 0 = -0*w + 2*w - 8. Factor 5*b**2 + w*b**2 - 4*b**3 + 0*b - r*b + b**3.
-3*b*(b - 2)*(b - 1)
Let m(d) be the third derivative of 1/120*d**6 + 0 + 1/60*d**5 + 0*d**4 + 7*d**2 + 0*d**3 + 0*d. Factor m(j).
j**2*(j + 1)
Let k(v) = -7 + 0*v**2 + 2*v**2 + 5*v + 2*v. Let r(j) = j**2 + j - 1. Let m(w) = -k(w) + 3*r(w). Factor m(q).
(q - 2)**2
Let m(k) = 17*k + 1. Let u be m(1). Suppose 2*b - u = -4*b. Factor 2/5*n + 1/5*n**4 + 0*n**2 - 2/5*n**b - 1/5.
(n - 1)**3*(n + 1)/5
Let y(z) be the first derivative of -2/27*z**3 - 3 + 0*z + 1/9*z**2. Find f such that y(f) = 0.
0, 1
Let z(x) = x**3 - 41*x**2 + 40*x + 2. Let s be z(40). Factor -1/2 + 1/4*g**s + 1/4*g.
(g - 1)*(g + 2)/4
Let m be 1/(3/6*(-6 + 7)). Factor 1/2*d**2 + m*d**4 + 0*d - 2*d**3 + 0.
d**2*(2*d - 1)**2/2
Let z = 83/2 + -41. Factor 1/4*x**2 - 1/4*x**4 + 1/4*x**5 + z*x + 0 - 3/4*x**3.
x*(x - 2)*(x - 1)*(x + 1)**2/4
Let c be ((-95)/(-30))/((-1)/(-9)). Let w = 30 - c. Factor -2 - w*k**2 + 3*k + 1/4*k**3.
(k - 2)**3/4
Let k = -52 + 52. Let 1/4*h - 3/2*h**4 + k + 3/2*h**2 - 9/4*h**5 + 2*h**3 = 0. What is h?
-1, -1/3, 0, 1
Let c(o) = o**3 + o**2 - 3*o**4 + 4*o**4 + o**3. Let u(k) = 6*k**4 + 10*k**3 + 6*k**2. Let z(f) = -22*c(f) + 4*u(f). Factor z(q).
2*q**2*(q - 1)**2
Let b(v) be the second derivative of -v**4/12 - 5*v**3/3 - 9*v**2/2 + v + 8. Factor b(r).
-(r + 1)*(r + 9)
Let o(p) be the first derivative of -1/4*p - 2 + 1/4*p**3 + 1/4*p**2. Factor o(d).
(d + 1)*(3*d - 1)/4
Let o be (-7)/3 - (-3)/9. Let k be 0*1/o*1. What is p in -1/2*p**2 + k + 1/4*p**3 + 0*p = 0?
0, 2
Let b(v) be the first derivative of -v**6/30 - v**5/20 + v**4/12 + v**3/6 - 2*v - 2. Let h(x) be the first derivative of b(x). Find z, given that h(z) = 0.
-1, 0, 1
Let h(i) = i - 2. Let o be h(4). Let 0*m**o - 1 + 4*m**2 - 3*m**2 + m**3 - m = 0. Calculate m.
-1, 1
Let b(l) be the third derivative of 0 + 0*l - 1/168*l**8 + 1/4*l**4 - 1/3*l**3 + 1/35*l**7 - 1/15*l**5 - 1/30*l**6 + 3*l**2. Factor b(d).
-2*(d - 1)**4*(d + 1)
Let w be (-1)/((72/(-6))/(-2) + -8). Factor -1/2*k**2 + k - w.
-(k - 1)**2/2
Suppose 0 = -2*b + l, -3*b + 6*l + 2 = 5*l. Let g = -5 - -8. Factor 1/3 + j**b + 1/3*j**g + j.
(j + 1)**3/3
Let s be -15 + 1 - (0 - -4). Let u be (-20)/(-21) + s/63. Factor -1/3*n + u - 8/3*n**2 - 5/3*n**3.
-(n + 1)**2*(5*n - 2)/3
Let w(l) be the second derivative of -7*l**4/8 - 3*l**3/2 + 3*l**2/4 - 3*l. Factor w(s).
-3*(s + 1)*(7*s - 1)/2
Let t = -37 + 667/18. Let i(n) be the second derivative of -1/36*n**4 - t*n**3 + 0 - 2*n + 1/3*n**2. Factor i(a).
-(a - 1)*(a + 2)/3
Suppose -11 = -3*f + 2*f - 2*z, 5*f - 3*z - 3 = 0. Let c be f*-2*2/(-4). Let v + c*v - v**2 - 5*v = 0. Calculate v.
-1, 0
Let o be 1/(-9) - 555/(-135). Factor -8*i**o + 0 - 2/3*i - 4*i**2 - 8/3*i**5 - 26/3*i**3.
-2*i*(i + 1)**2*(2*i + 1)**2/3
Let v = -16 - -36. Let d be 9/15 + (-12)/v. Determine m, given that -2/5*m**3 + d + 4/5*m**2 - 2/5*m = 0.
0, 1
Let z = -482 + 1447/3. Factor 0 + 1/6*b**2 - z*b.
b*(b - 2)/6
Suppose -3*f + 6 = -0*f. Suppose 0 = -f*i + 2 + 2. Let 4*c**i + 0*c**2 - 5*c**4 + 4*c**3 + 2*c**5 - 6*c + 2 - c**4 = 0. Calculate c.
-1, 1
Let y = 54 - 17. Let j = y + -4. Determine f so that j*f**3 - 3*f + 13*f**3 + 2 - 11*f - 16*f**4 + 14*f**2 - 32*f**5 = 0.
-1, 1/4, 1
Let x be 6/33 - -2*100/110. Let 0 - 2/3*r - 8/3*r**2 - x*r**3 = 0. What is r?
-1, -1/3, 0
Let 17*j + 20 - 31*j - 66*j + 16*j**2 + 125*j**3 + 9*j**2 = 0. Calculate j.
-1, 2/5
Let q(g) be the second derivative of -g**5/50 - 2*g**4/15 - 4*g**3/15 + 22*g. Solve q(f) = 0.
-2, 0
Let v(x) = -7*x**3 + 7*x**2 + 2*x - 7. Let y(p) = -3*p**3 + 3*p**2 + p - 3. Let l(b) = -2*v(b) + 5*y(b). Suppose l(u) = 0. What is u?
-1, 1
Determine t, given that 7/6*t - 1/3*t**4 - 7/6*t**3 - 2/3 + t**2 = 0.
-4, -1, 1/2, 1
Let k(a) be the third derivative of 0 - 1/75*a**5 + a**2 + 0*a**4 + 0*a + 0*a**3 - 3/100*a**6 - 4/525*a**7. Factor k(t).
-2*t**2*(t + 2)*(4*t + 1)/5
Suppose -4*c - 5*c**2 + 9*c**2 - 8*c**2 = 0. What is c?
-1, 0
Let j(m) = -m**2 + 1. Let f(s) = 7*s**2 + 6*s + 2. Let u be (1 - 2)*(-1 - -2). Let c(b) = u*f(b) + 2*j(b). Factor c(x).
-3*x*(3*x + 2)
Let t(s) be the first derivative of -4*s**3/3 + 5*s**2/2 + 2*s - 5. Let c(y) = 5*y**2 - 6*y - 3. Let u(k) = 3*c(k) + 4*t(k). Factor u(n).
-(n - 1)**2
Let s(x) be the first derivative of 9*x**6/25 - 27*x**4/50 + 8*x**3/75 + 4*x**2/25 - 6. Solve s(g) = 0 for g.
-1, -1/3, 0, 2/3
Let m be -2 - -1 - (-9)/3*1. Let t(x) be the second derivative of -1/36*x**4 + 0*x**3 + 1/6*x**m + x + 0. Determine w, given that t(w) = 0.
-1, 1
Suppose -3*w - 2*n = -20 - 12, -16 = -w - 2*n. Suppose 4 - 83*v**2 - 4*v**4 + w*v + 83*v**2 - 8*v**3 = 0. What is v?
-1, 1
Factor 0 - v**5 + 1/3*v**3 + 2/3*v**4 + 0*v + 0*v**2.
-v**3*(v - 1)*(3*v + 1)/3
Let g be (-3 + 2 + 1)/(-1). Suppose g + 3 = -3*l + 3*a, 4*a - 20 = -4*l. Factor 2/5*k**l - 4/5*k + 2/5.
2*(k - 1)**2/5
Find x such that -8/7*x + 16/7 + 2/7*x**3 - 4/7*x**2 = 0.
-2, 2
Let b(m) be the first derivative of m**6/15 + m**5/10 - m**4/2 - 5*m**3/3 - 2*m**2 - 4*m - 1. Let r(y) be the first derivative of b(y). Factor r(t).
2*(t - 2)*(t + 1)**3
Let s(c) be the second derivative of -2*c + 0*c**2 - 1/9*c**3 + 1/36*c**4 + 1/60*c**5 + 0. Factor s(f).
f*(f - 1)*(f + 2)/3
Let i(p) be the third derivative of -p**7/18900 - p**6/1800 - p**5/450 - p**4/12 - 8*p**2. Let h(b) be the second derivative of i(b). Factor h(a).
-2*(a + 1)*(a + 2)/15
Let r(j) = j - 7. Let u be r(5). Let m = u + 5. Solve -9*x - x**4 - 3*x**4 + 2*x + 7*x**3 - x**4 + 2 + m*x**2 = 0.
-1, 2/5, 1
Let z be -4 + -4 + (9 - 1). Let r(p) be the second derivative of z*p**2 + 0*p**3 + 2*p - 1/15*p**6 - 1/24*p**4 + 0 + 1/8*p**5. Find b, given that r(b) = 0.
0, 1/4, 1
What is s in 22*s**2 - 60*s - 48*s**2 - 9 - 74*s**2 = 0?
-3/10
Let b = -12 - -14. Let x(u) be the first derivative of 2*u**b + 2/3*u**3 - 2 + 2*u. Factor x(y).
2*(y + 1)**2
Let v = 7/15 + 1/5. Let n(g) be the first derivative of -2 + 3*g**2 + v*g**3 + 4*g. Solve n(p) = 0 for p.
-2, -1
Let u(z) = z**4 - 2*z**3 - 3*z**2 - 2*z - 2. Let n(b) = -4*b**4 + 9*b**3 + 13*b**2 + 9*b + 9. Suppose l + 3 = 1. Let d(p) = l*n(p) - 9*u(p). Factor d(f).
-f**2*(f - 1)*(f + 1)
Let y(c) be the second derivative of c**4/2 + 5*c**3/2 + 3*c**2 + 8*c. Suppose y(k) = 0. What is k?
-2, -1/2
Let w be (-264)/(-180) + (-8)/10. Factor w - 4/3*a + 2/3*a**2.
2*(a - 1)**2/3
Let g(b) be the third derivative of 0*b**4 + 0*b**6 + 1/105*b**7 + 0*b**5 + 0*b**3 - 2*b**2 + 0*b + 0. Solve g(f) = 0 for f.
0
Let w(b) be the third derivative of b**8/3360 + b**7/630 + b**6/360 + b**4/24 - 3*b**2. Let i(f) be the second derivative of w(f). Let i(t) = 0. What is t?
-1, 0
Let i(o) be the third derivative of o**8/336 + o**7/210 - o**6/60 - o**5/30 + o**4/24 + o**3/6 + o**2. Factor i(x).
(x - 1)**2*(x + 1)**3
Let y(a) be the second derivative of 5*a**4/12 + 5*a**3/2 + a. Factor y(v).
5*v*(v + 3)
Suppose -5*o - 6 = -26. Let c(v) be the third derivative of 0 + 1/21*v**3 + 0*v + 2*v**2 + 1/210*v**5 + 1/42*v**o. Factor c(q).
2*(q + 1)**2/7
Let b(c) be the first derivative of -5*c**3/12 - 65*c**2/4 - 845*c/4 - 72. Find n such that b(n) = 0.
-13
Let j(l) = 25*l**2 - 15*l + 9. Let c(n) = n - 3 + 4 + 0*n. Let g(o) = 5*c(o) - j(o). Factor g(d).
-(5*d - 2)**2
Factor -24*j - 3*j**3 - 1 + 0 - 9*j**2 + 15*j - 2.
-3*(j + 1)**3
Let w(i) be the second derivative of 0*i**3 - 1/3*i**6 + 0 - 2/27*i**4 + 25/189*i**7 + 4/15*i**5 + 0*i**2 + 4*i. Factor w(c).
2*c**2*(c - 1)*(5*c - 2)**2/9
Let g(b) = b**3 - 5*b**2 - 4*b - 1. Let w be g(6). Let z = w - 7. Factor -2*v**2 + 8*v**3 - 20*v**3 + 2*v**5 - 18*v**z - 10*v**5.
-2*v**2*(v + 1)**2*(4*v + 1)
Let n(k) = -4*k + 28. Let p be n(7). Let r(q) be the third derivative of -3*q**2 + 0 - 1/60*q**5 + 1/12*q**4 + 0*q + p*q**3. Factor r(z).
-z*(z - 2)
Let p(w) = w**3 - 5*w**2 + 6*w - 6. Let t be p(4). Determine i, given that 0*i - 10 - 4*i**3 + t*i**5 + 2*i + 10 = 0.
-1, 0, 1
Solve -9/2 + 3*r + 3/2*r**2 = 0 for r.
-3, 1
Let g(k) be the third derivative of -k**6/40 - k