27 - -34. Let k(j) be the second derivative of 2/27*j**6 - 1/27*j**3 + 0 - j - 1/63*j**u + 1/9*j**4 + 0*j**2 - 2/15*j**5. Determine v so that k(v) = 0.
0, 1/3, 1
Suppose -3*g + 5*h + 7 + 8 = 0, 5*h + 15 = -2*g. Suppose g = -q - q + 4. Solve 2 + 1/2*l**2 + q*l = 0 for l.
-2
Let m be 6/(-24) + (-9)/(-4). Factor -a**2 + 6*a - a**2 - a**m + a**2.
-2*a*(a - 3)
Let w(f) be the first derivative of 6*f**5/25 - f**4/10 - 34*f**3/15 - 19*f**2/5 - 12*f/5 - 3. Find j such that w(j) = 0.
-1, -2/3, 3
Suppose 2*w - 2*y = 4, 0 = -3*w + 2*y + 10 - 5. Let s = 1 - w. Factor 0*x + s - 1/4*x**2.
-x**2/4
Let g be -6*1/(-3)*(3 - 2). Let -2/3*n**3 - g*n**2 - 2*n - 2/3 = 0. Calculate n.
-1
Factor f + 2*f**4 - 23*f**4 - f**2 + 8*f**3 - 3*f + 16*f**4.
-f*(f - 1)**2*(5*f + 2)
Let a(s) be the first derivative of 0*s - 1/3*s**3 - 1/4*s**4 + 0*s**2 + 1. Factor a(c).
-c**2*(c + 1)
Solve 1/2*y**2 + 0*y + 0 - 1/4*y**3 = 0.
0, 2
Suppose -l - 3*l = -16. Let s**2 + l - 3*s**2 - 8*s + 10*s = 0. Calculate s.
-1, 2
Let y(p) = 4*p**2 + 5*p - 10. Let a(n) = n**2 - n - 1. Let o(j) = -a(j) + y(j). Find v, given that o(v) = 0.
-3, 1
Let y(j) = -3*j**2 + 7*j - 3. Let n be y(7). Let w = n + 508/5. Solve -3/5*b**2 + 0*b - w*b**3 + 0 = 0.
-1, 0
Suppose 0*p + p + 4*w = -10, -5*p - w + 26 = 0. Factor 8*t**2 + p*t - 1 - 5*t**2 + 1.
3*t*(t + 2)
Factor -9/5*o**2 - 12/5*o + 3/5*o**3 + 0.
3*o*(o - 4)*(o + 1)/5
Let n(h) = -h + 2. Let m be n(2). Let w be 7/(-28) + (-50)/(-4). Determine y, given that m + 0*y - 21/4*y**4 + 6*y**3 - y**2 - w*y**5 = 0.
-1, 0, 2/7
Let a(l) be the first derivative of -l**9/280 + 9*l**8/700 - 3*l**7/175 + 2*l**6/225 - 5*l**3/3 + 3. Let v(m) be the third derivative of a(m). Factor v(c).
-2*c**2*(3*c - 2)**3/5
Suppose -2*m - 4*l + 20 = 0, m - 5*l = 5*m - 31. Factor 0*f - 1/2*f**2 + 0*f**3 + 1/4*f**m + 1/4.
(f - 1)**2*(f + 1)**2/4
Let s(y) = 2*y**2 + 28*y - 102. Let c(b) = -b**2 + 1. Let r(l) = -4*c(l) - s(l). Suppose r(v) = 0. What is v?
7
Factor -51*d**2 - 240*d - 104 + 54 - 32 - 110 - 3*d**3.
-3*(d + 1)*(d + 8)**2
Let a(c) be the third derivative of -c**6/840 + 3*c**5/280 - c**4/28 - c**3/3 - 7*c**2. Let n(z) be the first derivative of a(z). Find h, given that n(h) = 0.
1, 2
Let b(s) be the second derivative of 1/12*s**4 + 0*s**3 + 0 - 4*s + 1/42*s**7 + 1/10*s**6 + 3/20*s**5 + 0*s**2. Determine x so that b(x) = 0.
-1, 0
Let m be 2/4*644/(-70) + 5. Find o, given that 0*o**2 + 4/5 - 6/5*o + m*o**3 = 0.
-2, 1
Suppose r - 5 + 3 = 0. Let g = 4 + -2. Find q such that -g*q**r + 3 - 3 + 3*q**3 - q = 0.
-1/3, 0, 1
Let t = -31 + 28. Let f be 2/(t - -4) + 0. Factor -4/5*s**f + 2/5*s - 2/5*s**3 + 4/5.
-2*(s - 1)*(s + 1)*(s + 2)/5
Let m = -4/127 - -782/635. Let d(r) be the first derivative of -m*r**4 - 2 - 3/5*r**2 - 4/5*r + 34/15*r**3. Let d(k) = 0. Calculate k.
-1/4, 2/3, 1
Let k(q) = -5*q**2 + 5*q - 2. Suppose -37 = 5*n + 13. Let y = -7 - n. Let s(w) = -26*w**2 + 26*w - 10. Let r(g) = y*s(g) - 14*k(g). Let r(f) = 0. Calculate f.
1/2
Suppose -76/7*b**2 + 48/7*b - 16/7*b**5 + 60/7*b**4 - 32/7*b**3 + 16/7 = 0. Calculate b.
-1, -1/4, 1, 2
Suppose 5*x + 26 = 4*f, 29 = 5*f - 4*x + 1. Solve c**5 + 4*c**4 - 3*c**f - 2*c**5 = 0.
0, 1
Let z be 9/(-21)*(-49)/42. What is i in -z*i + 3/2*i**2 + 0 = 0?
0, 1/3
Let y be (-180)/(-25)*40/(-6). Let l be 4/18 - y/27. Solve -4*k + 6*k**2 + 7*k + l + 3*k + 2*k**3 = 0 for k.
-1
Let c(b) be the second derivative of 0*b**2 - 1/180*b**6 + 0 - 1/6*b**3 + 0*b**4 - b + 0*b**5. Let t(k) be the second derivative of c(k). Factor t(r).
-2*r**2
Let k(x) be the first derivative of 2*x**3/3 - 8*x**2 + 32*x - 1. Suppose k(o) = 0. What is o?
4
Let d(u) be the second derivative of 0 - u + 1/30*u**4 + 3/100*u**5 - 1/5*u**2 - 1/10*u**3. Factor d(r).
(r - 1)*(r + 1)*(3*r + 2)/5
Let i(z) = -z**4 - 14*z**3 + 5*z**2 + 10*z - 4. Let t(r) = -4*r**4 - 41*r**3 + 15*r**2 + 30*r - 11. Let q(m) = 11*i(m) - 4*t(m). Factor q(x).
5*x*(x - 1)*(x + 1)*(x + 2)
Factor -6*d**2 + 3*d**4 + 3 - 2*d**5 + 6*d**3 - 2*d**5 + d**5 - 3*d.
-3*(d - 1)**3*(d + 1)**2
Let q = 18 - 16. Factor 99*u**2 + 6*u**4 - 18*u**2 - 81*u - 29*u**3 + q*u**3 - 3*u**4.
3*u*(u - 3)**3
Let s(d) be the first derivative of 5 - 15/4*d**4 + 3/5*d**5 + 6*d - 21/2*d**2 + 9*d**3. Factor s(a).
3*(a - 2)*(a - 1)**3
Let u(h) be the third derivative of -h**5/210 - 5*h**4/42 - 25*h**3/21 - h**2. Factor u(q).
-2*(q + 5)**2/7
Determine o, given that -2/5*o**2 + 0*o + 0 + 0*o**3 + 2/5*o**4 = 0.
-1, 0, 1
Factor 16/3 + 1/3*d**2 - 8/3*d.
(d - 4)**2/3
Let a(i) be the third derivative of 1/12*i**5 - 4*i**2 - 1/42*i**7 + 0*i**3 + 0*i + 1/12*i**4 + 1/48*i**8 - 3/40*i**6 + 0. Find m, given that a(m) = 0.
-1, -2/7, 0, 1
Let y be (200/(-112) + 2)/(6/8). Factor 1/7*x - y + 1/7*x**2.
(x - 1)*(x + 2)/7
Let r(d) be the second derivative of -5*d**4/48 + 17*d**3/24 - 3*d**2/4 - 3*d + 14. Let r(l) = 0. What is l?
2/5, 3
Let b(u) be the first derivative of -15*u**4/4 + u**3 + 15*u**2/2 - 3*u - 1. Let h(k) = 7*k**3 - k**2 - 7*k + 1. Let v(q) = 4*b(q) + 9*h(q). Factor v(s).
3*(s - 1)*(s + 1)**2
Let o(s) be the third derivative of -4/3*s**3 - 8/105*s**7 + 0*s - 8*s**2 + 0 + 2/5*s**5 + 7/6*s**4 - 7/30*s**6. Solve o(b) = 0.
-2, -1, 1/4, 1
Let a(s) be the first derivative of 2*s**5/25 - 2*s**3/5 + 2*s**2/5 - 25. Factor a(p).
2*p*(p - 1)**2*(p + 2)/5
Suppose -20 = -5*t, 3*n = -5*t - 0*t + 20. Solve -5/3*h**2 - 4/3*h**3 - 1/3*h**4 + n - 2/3*h = 0.
-2, -1, 0
Let n = -3 + 5. Find j, given that 1/2*j + 0 - 1/2*j**n = 0.
0, 1
Let -4*k**2 + 4 - 7 + 8*k + 2 + 13 = 0. Calculate k.
-1, 3
Let g(b) be the second derivative of b**7/56 - 13*b**6/120 + 19*b**5/80 - 11*b**4/48 + b**3/12 + 43*b. What is q in g(q) = 0?
0, 1/3, 1, 2
Let z(t) = t - 3. Let f be z(8). Find s, given that 2*s**f - s**3 - 3*s**3 - s + 3*s = 0.
-1, 0, 1
Let z = 1969/2289 - 1/327. Suppose 3/7*u + z*u**2 + 0 = 0. What is u?
-1/2, 0
Let v be (3 + -2)/(1/6). Let s be (-2 - (-14)/v)*2. Factor s*u**4 - 2/3*u**2 - 2/3*u + 0 + 2/3*u**3.
2*u*(u - 1)*(u + 1)**2/3
Let w = 13 - -11. Find v such that -2*v**3 + 21*v - 1 - 8*v**4 + w*v**2 - 1 + 6 + v = 0.
-1, -1/4, 2
Let s(k) be the third derivative of 0 - 3*k**2 + 1/735*k**7 + 0*k + 0*k**4 + 1/420*k**6 + 0*k**5 + 0*k**3. Let s(t) = 0. What is t?
-1, 0
Let n(b) = -b**3 - 4*b**2 - 4*b - 1. Let x(w) = -w**2 - 3*w + 7. Let i be x(-5). Let y be n(i). Factor 0 + 0*k + 2/3*k**y + 2/3*k**3.
2*k**2*(k + 1)/3
Let h = -16 + 8. Let y be (6/7)/(h/(-14)). Suppose -y*u**4 - 3/2*u + 1/2*u**5 + 1/2 + u**2 + u**3 = 0. What is u?
-1, 1
Let g(q) = 32*q**2 - 72*q. Suppose 2 = h, 0*j + 20 = j + 4*h. Let m(z) = 13*z**2 - 29*z. Let p(v) = j*m(v) - 5*g(v). Factor p(s).
-4*s*(s - 3)
Let z(t) be the second derivative of 0 - 1/9*t**2 - 2*t - 2/27*t**3 - 1/54*t**4. Let z(r) = 0. Calculate r.
-1
Let a(y) be the first derivative of y**6/6 + 3*y**5/4 + 5*y**4/4 + 5*y**3/6 - y/4 - 16. Solve a(h) = 0.
-1, 1/4
Let j = 3/71 - -65/142. Factor 0 + 0*t**2 + j*t - 1/2*t**3.
-t*(t - 1)*(t + 1)/2
Let u = 10 + -28/3. Suppose 2*x = 3*x - 2. Factor 0 - u*p**x + 0*p.
-2*p**2/3
Let k be ((-1)/(-2))/(2/8). Suppose 0 = -2*z + 3*a + 27, -18 + 69 = 4*z - 5*a. Factor -z*q - k*q**4 + 9*q + 2*q**2.
-2*q**2*(q - 1)*(q + 1)
Let g(j) = 3*j - 10. Let w be g(4). Let k(u) be the third derivative of 0*u**4 + 1/150*u**5 - w*u**2 - 1/15*u**3 + 0*u + 0. Let k(d) = 0. Calculate d.
-1, 1
Let z(m) be the third derivative of -m**6/96 + 7*m**5/240 - m**4/48 - 11*m**2. Factor z(p).
-p*(p - 1)*(5*p - 2)/4
Let w be 52/14 + (-8)/(-28). Let -89*b**4 - 10*b - 14*b + 42*b**5 + 15*b**2 + 36*b**3 + w + 16*b**2 = 0. Calculate b.
-2/3, 2/7, 1/2, 1
Suppose 5*l - l**3 + 4*l**2 + 4*l**4 - l - 4*l**4 - l**4 = 0. What is l?
-2, -1, 0, 2
Let t(m) be the second derivative of 0 - 1/2*m**4 - m**2 + m**3 - 3*m + 1/10*m**5. Let t(h) = 0. Calculate h.
1
Suppose a = -2*h - 10 + 39, 0 = -h - 2*a + 19. Suppose 5*p = -l + h, 5*p - 5*l + 0 + 5 = 0. Find c such that 3*c + c + c**p - 5*c = 0.
0, 1
Suppose 0 = -2*t - 3*x + 15 + 1, 16 = -2*t + 5*x. Factor 0*p**2 + 2*p**t - p**2.
p**2
Let j(v) be the first derivative of -v**3/15 - v**2/5 - v/5 - 20. Let j(q) = 0. What is q?
-1
Let -23*h + 14*h + 15*h - 3*h**2 = 0. Calculate h.
0, 2
Let c(q) be the third derivative of -q**8/168 + 2*q**7/105 + q**6/30 - 2*q**5/15 - q**4/12 + 2*q**3/3 - 24*q**2. Solve c(s) = 0 for s