73. Solve 1/4*b**5 + 1/4*b - 1/2*b**d + 0 + 0*b**4 + 0*b**2 = 0.
-1, 0, 1
Let 1/4 + 1/2*l**3 - 1/4*l + 1/4*l**4 - 1/4*l**5 - 1/2*l**2 = 0. What is l?
-1, 1
Let c(d) be the third derivative of -5*d**2 - 1/60*d**5 - 1/120*d**6 + 0*d**3 + 0 + 0*d + 1/12*d**4. Let c(j) = 0. What is j?
-2, 0, 1
Suppose 19*h - 2*h**3 + h**2 - 18*h**4 - 19*h + 19*h**4 = 0. What is h?
0, 1
Let a = -6 - -8. Factor -4*l - l**3 + 2*l - 6*l**4 + 3*l**3 + 6*l**a.
-2*l*(l - 1)*(l + 1)*(3*l - 1)
Let o(x) be the first derivative of -2/3*x**3 + x**2 - 1 + 0*x. Determine z so that o(z) = 0.
0, 1
Let m(g) be the first derivative of 4*g**3 - 30*g**2 + 75*g - 37. Solve m(y) = 0.
5/2
Let b(n) = -33*n**2 - 13*n + 5. Let q(z) = 82*z**2 + 32*z - 12. Let t(j) = -12*b(j) - 5*q(j). Suppose t(w) = 0. Calculate w.
-2/7, 0
Let s(h) = -14 + 12*h**2 - 9*h + 0*h**3 - 2 - h**3. Let a be s(11). Solve 0*q**4 - a + 12*q + 63*q**2 - 3*q + 75*q**3 + 27*q**4 = 0 for q.
-1, 2/9
Suppose -8*x + 10*x - 4 = 0. Suppose -5*z - 5*m - 15 = 0, -2*z - x*z - 17 = 5*m. Factor 7*y**2 + 5*y - 3*y - y**z + 4*y**3.
2*y*(y + 1)*(2*y + 1)
Suppose 2*b - 3*b + 3 = 0. Suppose -9*n**4 - n**2 + b*n**2 + 7*n**3 + 55 - 55 = 0. Calculate n.
-2/9, 0, 1
Let k be (-1 - -2)/1 - 1. Suppose 0 = 4*h - 8 - k. Suppose 2*u**3 + 4*u**4 + h*u**4 - 4*u**4 = 0. Calculate u.
-1, 0
Let f(z) be the first derivative of z**6/33 + 4*z**5/11 + 19*z**4/11 + 136*z**3/33 + 57*z**2/11 + 36*z/11 + 42. Find y, given that f(y) = 0.
-3, -2, -1
Let x(k) be the first derivative of -k**7/35 - k**6/60 + 4*k**5/15 - k**4/3 + k**2/2 - 4. Let b(g) be the second derivative of x(g). What is h in b(h) = 0?
-2, 0, 2/3, 1
Let t(g) be the second derivative of -g**7/21 + g**6/3 - g**5 + 5*g**4/3 - 5*g**3/3 + g**2 - 5*g. Find s, given that t(s) = 0.
1
Let -41/2*x**2 - 7*x**5 + 0 - 44*x**3 - 67/2*x**4 - 3*x = 0. Calculate x.
-3, -1, -1/2, -2/7, 0
Let i(a) = -2*a**5 + 4*a**4 + 3*a**3 - 4*a**2 - a - 1. Let h(w) = -w**5 - w**4 + w**2 + w + 1. Suppose q + 7 = 8. Let o(x) = q*i(x) + h(x). Factor o(g).
-3*g**2*(g - 1)**2*(g + 1)
Let o be (-10)/15 - (-7)/6. Let d(s) be the first derivative of 2 + s - 1/3*s**3 + o*s**2 - 1/4*s**4. Factor d(r).
-(r - 1)*(r + 1)**2
Let z(q) = 13*q**2 + q + 1. Let u be -3*2/(-18)*-3. Let k be z(u). Solve k*c**3 + 2*c**3 + 0*c**3 + 18*c**4 + 2*c + 13*c - 34*c**2 - 2 = 0 for c.
-2, 1/3, 1/2
Let i(k) = -k**3 + 2*k**2 + k. Let u(l) = 12*l**3 - 12*l**2 - 9*l. Let x(z) = 9*i(z) + u(z). What is w in x(w) = 0?
-2, 0
Let a(i) be the third derivative of 0*i + 1/6*i**3 + 1/24*i**4 - 2*i**2 + 0 + 1/360*i**6 + 1/60*i**5. Let z(y) be the first derivative of a(y). Factor z(j).
(j + 1)**2
Let k(q) = -q**2 + 8*q - 7. Let n be k(5). Suppose -2*b - n = 5*a - 22, 2*a + 4 = 4*b. Find p such that -3*p**2 + p**b - 8 - 3*p - 5*p = 0.
-2
Let u = -7/9 - -89/45. Factor 2/5*l - u*l**3 - 4/5*l**2 + 0.
-2*l*(l + 1)*(3*l - 1)/5
Suppose 4*m = 2*q + 12, 0 = 2*q + 3*q + 3*m - 35. Suppose 2*s**5 - 8/3*s**3 + 2/3*s - 8/3*s**4 + q*s**2 - 4/3 = 0. Calculate s.
-1, -2/3, 1
Let k be 0*(-1)/(-2)*-1. Suppose -r - 2*p = -3*p + 2, -r + 3*p - 10 = 0. Suppose -1/2*a + 0 + 0*a**r + a**3 - 1/2*a**5 + k*a**4 = 0. Calculate a.
-1, 0, 1
Let z(m) be the second derivative of m**7/70 + m**6/50 - 3*m**5/100 - m**4/20 - 3*m. Solve z(q) = 0 for q.
-1, 0, 1
Let b(q) be the first derivative of 2*q**6/3 - 8*q**5/5 + 8*q**3/3 - 2*q**2 + 6. Find z such that b(z) = 0.
-1, 0, 1
Let h(a) = -a**5 - 3*a**4 + 9*a**3 - 5*a**2. Let b = -4 + 2. Let x(j) = -2*j**4 + 4*j**3 - 2*j**2. Let r(f) = b*h(f) + 5*x(f). Factor r(q).
2*q**3*(q - 1)**2
Let g(z) = 5*z**2 + 175*z - 1450. Let h(n) = 2*n**2 + n - 1. Let d(l) = -g(l) + 5*h(l). Factor d(t).
5*(t - 17)**2
Let h(s) be the second derivative of -1/36*s**4 + 0*s**3 + 0 - 3*s + 1/126*s**7 + 0*s**2 - 1/30*s**6 + 1/20*s**5. Suppose h(l) = 0. Calculate l.
0, 1
Let z be (1/(-3))/(10/(-30)). Let f be 1 + z + 20/8. Factor 5/2*r**5 + 6*r**4 - f*r + 2*r**3 - 5*r**2 - 1.
(r - 1)*(r + 1)**3*(5*r + 2)/2
Let y(h) = -h + 3. Let j be y(-5). Let i = -993/8 + 7303/56. Solve -j*d**3 - 16/7*d + i*d**2 + 2/7 + 34/7*d**4 - 8/7*d**5 = 0.
1/4, 1
Factor -3*m**3 + 9*m**2 - 6*m**4 + 15*m - 36*m**2 + 24*m**3 + 0*m**3 - 3.
-3*(m - 1)**3*(2*m - 1)
Let g(b) = -2*b**2 + 3 + 4*b - 2*b + 0*b + 0*b**2. Let t(r) = 3*r**2 - 3*r - 5. Let k(c) = -10*g(c) - 6*t(c). Suppose k(h) = 0. Calculate h.
0, 1
Let z(i) = -3*i**2 + 6*i + 9. Let j(f) = -6*f**2 + 11*f + 17. Let y(d) = 6*j(d) - 11*z(d). Let y(n) = 0. What is n?
-1, 1
Let h(v) be the first derivative of -v**5/60 + v**3/18 + 2*v - 2. Let u(j) be the first derivative of h(j). Factor u(x).
-x*(x - 1)*(x + 1)/3
Let w = 1737/7 - 247. Solve w - 22/7*o**2 - 60/7*o**3 + 50/7*o**4 + 24/7*o = 0 for o.
-2/5, 1
Solve 1/3*k**3 - 5/3*k + 1 + 1/3*k**2 = 0.
-3, 1
Suppose -b - 3 = -5. Let 2*g**4 + 4 - 2*g**2 - 2 - b*g**2 = 0. Calculate g.
-1, 1
Let b(l) = -l**2 + 7*l - 5. Let n be b(6). Factor k + 0*k + n - 14*k**3 - 5*k**4 - 12*k**2 - 3*k.
-(k + 1)**3*(5*k - 1)
Let x be 1 - -1 - -1 - -3. Suppose -3 + 2*p**3 - 5*p**2 - p - 3*p**3 - x*p = 0. Calculate p.
-3, -1
Suppose 3*n + 2*l - 16 = 0, 2*n + 2*l - 29 = -3*l. Let p(a) be the second derivative of -n*a - 1/10*a**5 + 1/2*a**4 - a**3 + a**2 + 0. Solve p(r) = 0.
1
Factor -13*y**5 + 2 + 12*y**5 + 2*y**3 + 4*y**4 + 7*y + 8*y**2 - 6*y**4 + 0*y**4.
-(y - 2)*(y + 1)**4
Suppose 3*j = j. Let s(o) be the second derivative of 1/50*o**5 - 1/15*o**3 + j - o - 1/30*o**4 + 1/5*o**2. Suppose s(d) = 0. What is d?
-1, 1
Factor -4*o - 12*o**3 + 23*o**2 - o - 4 + o - 3*o**2.
-4*(o - 1)**2*(3*o + 1)
Let f(u) be the third derivative of -4*u**7/525 + 7*u**6/300 - u**5/50 - 7*u**2 + 3*u. Let f(i) = 0. Calculate i.
0, 3/4, 1
Let m(n) be the second derivative of -1/10*n**5 + 0*n**2 + 1/12*n**4 - 2*n + 0 + 1/30*n**6 + 0*n**3. What is y in m(y) = 0?
0, 1
Let c be 6/(-9)*(-12)/14. Suppose n = -2*n, 3*k = -4*n + 6. Factor 0*s**k - c*s - 2/7*s**4 + 4/7*s**3 + 2/7.
-2*(s - 1)**3*(s + 1)/7
Let b(p) be the first derivative of 1/4*p**4 + 0*p + 1/120*p**6 + 2 + 0*p**2 - 3/40*p**5 - 2/3*p**3. Let q(k) be the third derivative of b(k). Solve q(x) = 0.
1, 2
Let h(z) be the third derivative of -z**8/112 - z**7/70 - 9*z**2. Factor h(o).
-3*o**4*(o + 1)
Let f(p) be the third derivative of -p**8/112 + p**7/14 - 3*p**6/20 - p**5/5 + p**4 + 3*p**2. Determine n so that f(n) = 0.
-1, 0, 2
Let f be (-1)/(15/(-12))*5. Find q, given that -q**3 + 11*q**3 - 10*q + 6*q**f + 0*q**2 + 2 - 10*q**2 + 2 = 0.
-2, -1, 1/3, 1
Let o(m) = -10*m**2 + 10. Let s(v) = v**2 - 1. Let q(d) = 2*o(d) + 18*s(d). Factor q(u).
-2*(u - 1)*(u + 1)
Factor -3*j + j**2 - j - 3*j**2 + 2*j.
-2*j*(j + 1)
Let y be (-4)/(-10) - (-14)/(-60). Determine c so that 1/3*c - 1/6 - y*c**2 = 0.
1
Factor -3/4*q + 3/8*q**4 - 9/8*q**2 + 0*q**3 + 0.
3*q*(q - 2)*(q + 1)**2/8
Let v = 797/20 + -153/4. Suppose -6/5*k**2 - v*k**3 + 8/5*k - 2/5*k**4 + 8/5 = 0. What is k?
-2, -1, 1
Let m(v) be the second derivative of -v**5/4 + 5*v**4/6 + 35*v. Determine l so that m(l) = 0.
0, 2
Let g = -60 + 63. Factor -1/3*d**g + 1/3*d**2 - 1/3*d**4 + 0 + 1/3*d.
-d*(d - 1)*(d + 1)**2/3
Let i(v) = 18*v**4 + 30*v**3 + 3*v**2 - 33*v - 27. Let f(y) = y**5 + y**3 + y**2 - y + 1. Let z(q) = -3*f(q) - i(q). Determine k, given that z(k) = 0.
-2, -1, 1
Let n = 188/19 - 28/95. Solve 0*o - 48/5*o**4 - 3/5*o**3 + 0 + 3/5*o**2 + n*o**5 = 0.
-1/4, 0, 1/4, 1
Let m(s) be the third derivative of -s**7/42 - s**6/30 + s**5/10 + s**4/6 - s**3/6 - 8*s**2. Factor m(o).
-(o - 1)*(o + 1)**2*(5*o - 1)
Let f(t) = 5*t**5 + t + 1 - t**3 - 3*t**5 - t**5 + t**4. Let m(b) = 10*b**5 + 9*b**4 - 12*b**3 + 11*b + 11. Let s(w) = 22*f(w) - 2*m(w). Factor s(k).
2*k**3*(k + 1)**2
Suppose -2*f = -5*m + 23, 5*m + 5*f - 2 = -7. Let g(p) be the second derivative of 1/27*p**4 + 1/18*p**5 + 0*p**2 + 0*p**3 + m*p + 0. Factor g(y).
2*y**2*(5*y + 2)/9
Let j be (6/(-8))/((-10)/(-40)). Let l be 0*(j - 2)/(-5). Factor l*c + 1/6*c**3 + 1/6*c**4 - 1/6*c**5 - 1/6*c**2 + 0.
-c**2*(c - 1)**2*(c + 1)/6
Factor 52*m**3 - 6*m**4 - 3*m**4 + 6*m - 21*m**2 - 28*m**3.
-3*m*(m - 1)**2*(3*m - 2)
Factor -8/5 - d**3 + 1/5*d**4 + 6/5*d**2 + 4/5*d.
(d - 2)**3*(d + 1)/5
Let p(g) = g**2 - g. Let o be p(2). Factor -o*a + a**3 + 2*a**3 - a**3.
2*a*(a - 1)*(a + 1)
Let v(b) be the third derivative of -2/25*b**6 - 2/75