 + 59/12). Let t = 151/100 + o. Factor t*g**3 - 1 + 1/2*g**2 + 1/2*g**4 - 3/2*g.
(g - 1)*(g + 1)**2*(g + 2)/2
Let l = 17 + -29. Let n(o) = -o**2 - 12*o + 3. Let w be n(l). Factor 9*x**4 + 25*x**w - x + 30*x**2 - 19*x - 13 - 27 - 4*x**4.
5*(x - 1)*(x + 2)**3
Let m = -557/3 - -2303/12. Factor 5*p**2 - m*p - 5/4*p**3 + 5/2.
-5*(p - 2)*(p - 1)**2/4
Let q(n) be the second derivative of n**7/168 - 7*n**6/120 + 3*n**5/20 + n**4/12 - 2*n**3/3 + 127*n. Let q(u) = 0. Calculate u.
-1, 0, 2, 4
Let u(r) be the third derivative of -r**6/120 + r**5/12 - r**4/8 + r**3/6 + 2*r**2. Let n be u(4). Suppose 5*s**5 + 0*s**n - s**5 = 0. What is s?
0
Solve -67 - 176*k + 4*k**2 + 0 - 25 - 88 = 0.
-1, 45
Let r(v) be the first derivative of 0*v**3 + 8 - 1/30*v**6 + 1/12*v**4 + 0*v**2 + 0*v**5 - 8*v. Let h(k) be the first derivative of r(k). Factor h(y).
-y**2*(y - 1)*(y + 1)
Let c(g) be the first derivative of g**7/168 - 7*g**3/3 + 5. Let n(f) be the third derivative of c(f). Factor n(k).
5*k**3
Let l(y) = -y**3 - y**2 + 2*y - 1. Let a(o) = -8*o**5 + 4*o**4 + 36*o**3 + 16*o**2 - 32*o + 12. Let h(j) = -a(j) - 12*l(j). Let h(i) = 0. Calculate i.
-1, 0, 1/2, 2
Let s(g) = 38*g - 156. Let c(a) = -12*a + 52. Let v(o) = 8*c(o) + 3*s(o). Let w be v(3). Suppose -24/5*p + 9/5 + 9/5*p**w + 6/5*p**3 = 0. What is p?
-3, 1/2, 1
Let z(f) be the third derivative of -3*f**5/100 - 11*f**4/48 - f**3/20 - 9*f**2 - 2. Factor z(u).
-(u + 3)*(18*u + 1)/10
Factor 77*q - 3 - 45 + 2*q**3 - 38*q**2 - 17*q**3 + 5*q**2 + 19*q.
-3*(q - 1)*(q + 4)*(5*q - 4)
Let f = 247 - 245. Let s(t) be the second derivative of 0 + 1/6*t**4 - 1/2*t**3 + 1/2*t**f - 5*t. Solve s(n) = 0.
1/2, 1
Let h(t) be the first derivative of 0*t**2 - 7 + 5/12*t**4 + 0*t + 0*t**3. Factor h(g).
5*g**3/3
Let i be 120/25*(-120)/(-336). Determine r, given that 0 + 3/7*r - i*r**2 = 0.
0, 1/4
Let k = -10 + 20. Let n = k - 8. Solve 2 - 2*x - 1 - 5 + 2*x**n = 0.
-1, 2
Let r be 0 + (2610/867 - 4) + 1. Let u = 8083/867 + r. Factor u*l + 49/3*l**2 + 4/3.
(7*l + 2)**2/3
Let x(z) = z**5 - 2*z**4 + z**3 + 2*z**2 - 2. Let c(b) = 3*b**5 - 7*b**4 + 4*b**3 + 7*b**2 - 7. Let y(t) = 6*c(t) - 21*x(t). Determine q so that y(q) = 0.
-1, 0, 1
Let n(g) = -5*g**4 + 17*g**3 + 35*g**2 + 54*g + 30. Let m(y) = -y**4 + 3*y**3 + 7*y**2 + 11*y + 6. Let i(q) = -11*m(q) + 2*n(q). Solve i(r) = 0.
-2, -1, 3
Let f = -12 + 25/2. Let b be 20/16*320/200. Suppose -v**3 + f*v**4 + 0*v**b + v - 1/2 = 0. Calculate v.
-1, 1
Let f(z) be the first derivative of -2*z**3/33 - 9*z**2/11 - 40*z/11 - 180. Find y such that f(y) = 0.
-5, -4
Let u(q) be the second derivative of q**5/60 - 23*q**4/36 - 49*q**3/18 - 25*q**2/6 + 2*q + 138. Factor u(c).
(c - 25)*(c + 1)**2/3
Let i = 1208 - 1205. Let j(t) be the second derivative of -1/6*t**4 + 4/5*t**2 - 2/5*t**i - t + 0 - 8/75*t**6 + 1/70*t**7 + 27/100*t**5. Solve j(c) = 0 for c.
-2/3, 1, 2
Let h(d) be the third derivative of -1/120*d**6 - 1/15*d**5 - 1/6*d**4 + 0*d + 7*d**2 + 0 + 0*d**3. Suppose h(l) = 0. Calculate l.
-2, 0
Let p(q) be the third derivative of q**7/210 - q**6/15 + 13*q**5/60 - q**4/4 - 418*q**2. Factor p(z).
z*(z - 6)*(z - 1)**2
Let z(j) = -4*j**2 - 14*j + 2. Let x(v) = -8 - 7 + 16 - v. Let g(n) = -6*x(n) + z(n). Determine o, given that g(o) = 0.
-1
Let l(n) be the first derivative of -n**6/45 + 4*n**5/75 + n**4/6 - 4*n**3/15 + 369. Let l(z) = 0. Calculate z.
-2, 0, 1, 3
Suppose 38 = 6*s - 10. Factor -2 + 0*n + 14 + 16*n - 27*n**3 - 4*n**4 - s*n**2 + 11*n**3.
-4*(n - 1)*(n + 1)**2*(n + 3)
Suppose 6*g + 18 = 4*g + 5*q, 5*q = g + 19. Let j be 3 + 1*(0 - g). Suppose 3*y**3 + y - 2 + 3 + 5*y**2 + 0 - j = 0. What is y?
-1, 1/3
Let d(v) be the second derivative of 0 - 1/30*v**5 - 2/27*v**3 - 5/54*v**4 + 2*v + 0*v**2. Factor d(b).
-2*b*(b + 1)*(3*b + 2)/9
Let j(q) be the first derivative of 4/5*q**3 + 0*q + 0*q**2 - 41 + 1/10*q**4. Factor j(y).
2*y**2*(y + 6)/5
Let w(b) be the third derivative of -b**7/350 - b**6/25 - 3*b**5/25 - 381*b**2 + 2*b. Let w(q) = 0. What is q?
-6, -2, 0
Let g(x) be the second derivative of x**4/24 + 13*x**3/12 + 3*x**2 + 53*x. Solve g(o) = 0 for o.
-12, -1
Suppose -11*m = 138 - 171. Let u(l) be the first derivative of -2*l - 1/4*l**4 + 0*l**m - 1 + 3/2*l**2. Let u(p) = 0. What is p?
-2, 1
Suppose -12*q = -q + 132. Let z be q/72 + (-26)/(-12). What is t in 2/9*t**4 + 0 + 2/9*t**3 + 0*t + 0*t**z = 0?
-1, 0
Determine h so that 432/11*h**2 + 0*h**4 + 2/11*h**5 - 106/11*h**3 + 288/11 - 56*h = 0.
-9, 1, 2, 4
Let c(p) = -p. Let s(j) = -6 - 9 + 9 + 3*j + j**2. Let h(q) = 12*c(q) + 3*s(q). Determine u, given that h(u) = 0.
-2, 3
Let x = -1/6836 - -4273/3418. Find f such that f**3 + 0 + 1/2*f - 1/4*f**4 - x*f**2 = 0.
0, 1, 2
Let i be ((-1)/(3 + -4))/(25/10). Let l(v) = 2*v**3 + 6*v**2 - 4*v - 10. Let z be l(-3). Factor i*r**4 - 16/5 + 8/5*r - 2*r**3 + 12/5*r**z.
2*(r - 2)**3*(r + 1)/5
Suppose 2*d + 10 + 10 = 3*p, p = 3*d + 9. Let n be 14/p + 4/(-12) + 0. Factor n*x + 1/2*x**4 - 3/2*x**3 + 0*x**2 + 0.
x*(x - 2)**2*(x + 1)/2
Let s be (2 - (-3 - -2)) + -1. Factor -36*c**4 - 6*c + 48*c**3 + 40*c**4 - 15*c**s - 31*c**4.
-3*c*(c - 1)**2*(9*c + 2)
Let n = 15 - 6. Factor 9*m**2 - 21*m**2 + n*m**2 + 6*m**2 - 6*m.
3*m*(m - 2)
Suppose -85*y**2 - 46*y**2 + 163*y**2 + 12*y**3 - 4*y**5 + 12*y**3 - 12*y**4 = 0. What is y?
-4, -1, 0, 2
Let h = -18223/9 + 2025. Suppose -h*s + 1/9*s**2 - 1/9*s**4 + 1/3*s**3 - 1/9*s**5 + 0 = 0. Calculate s.
-2, -1, 0, 1
Suppose 4*f - 14 = h, h + 0*f - f + 8 = 0. Let c(j) = j**2 - 5*j - 3. Let a(y) = 5*y**2 - 31*y - 19. Let l(k) = h*a(k) + 34*c(k). Solve l(g) = 0 for g.
-3, -1
Solve 0*j**2 + 0*j + 5/2*j**3 + 15/4*j**5 - 35/4*j**4 + 0 = 0 for j.
0, 1/3, 2
Let o = 19385 + -96923/5. Factor 8/5*r - o*r**3 - 8/5 + 2/5*r**2.
-2*(r - 2)*(r - 1)*(r + 2)/5
Let i(h) be the third derivative of 0*h + 0 - 7*h**2 - 5/4*h**4 + 0*h**3 - 7/12*h**5 - 1/24*h**6. Factor i(n).
-5*n*(n + 1)*(n + 6)
Factor 2/13 - 2*p**2 - 14/13*p**3 - 10/13*p.
-2*(p + 1)**2*(7*p - 1)/13
Let -44/17*g + 10/17*g**2 - 30/17 = 0. Calculate g.
-3/5, 5
Factor -1/2 + 1/2*w**2 + 0*w.
(w - 1)*(w + 1)/2
Let t(z) be the third derivative of 3/160*z**5 + 0 - 1/80*z**6 + 48*z**2 + 3/8*z**3 + 25/64*z**4 + 0*z. Find m, given that t(m) = 0.
-2, -1/4, 3
Let q = -7583/52 + 1964/13. Factor -3/4*k**2 - q*k + 0.
-3*k*(k + 7)/4
Let i(f) = -30 - 11*f**2 + f**3 + 4*f**3 + 7*f + 23. Let p(u) = -9*u**3 + 21*u**2 - 15*u + 13. Let y(x) = 5*i(x) + 3*p(x). Solve y(o) = 0.
1, 2
Let j(c) be the third derivative of c**6/60 - 67*c**5/30 + 385*c**4/4 - 363*c**3 - 161*c**2. Solve j(q) = 0.
1, 33
Let u(b) be the second derivative of 3*b**5/40 - 16*b**4/3 + 1024*b**3/9 - 5*b + 17. Solve u(h) = 0 for h.
0, 64/3
Suppose 44*k + 8*k = 17*k - 36*k. Factor -6*b**3 - 10/3*b**2 - 14/3*b**4 - 4/3*b**5 + k - 2/3*b.
-2*b*(b + 1)**3*(2*b + 1)/3
Suppose 5*m - 9 - 7 = s, -3*s = m - 16. Let d(a) = 3*a - 5. Let h be d(m). Factor -h*x**2 + 2*x**3 + 9*x**2 - 2*x**2.
2*x**3
Let c(r) = r**2 - 2*r - 2. Let j be c(4). Let q = j - 2. Factor -6*y**5 + y**2 - q*y**4 + 3*y**2 - 4*y**2 + 2*y**3.
-2*y**3*(y + 1)*(3*y - 1)
Let s = 28 + -21. Factor 2*b**2 + 30*b**2 + s*b + 27*b**4 - b + 7*b**2 + 72*b**3.
3*b*(b + 2)*(3*b + 1)**2
Let z(v) be the first derivative of -6*v + 10 + 3/2*v**2 - 1/8*v**3. Determine y, given that z(y) = 0.
4
Let g(c) be the first derivative of c**4/20 + 11*c**3/15 + 7*c**2/2 + 5*c - 542. Factor g(a).
(a + 1)*(a + 5)**2/5
Let t be (-10)/45 + 1184/(-18). Let a be 2/5 + t/(-10). Let 5*m + a - 6*m - 11*m + 5 + 3*m**2 = 0. Calculate m.
2
Let q(i) be the second derivative of -i**5/20 + i**4 - 5*i**3/3 - 7*i**2/2 - 2*i. Let f be q(11). Factor k**2 - f*k**4 + 3*k**4 - k**5 - 3*k**4 + 3*k**4 + k**3.
-k**2*(k - 1)*(k + 1)**2
Suppose -5*x**4 - 20*x**2 - 32*x**3 + 6*x + 7*x**3 - 6*x = 0. Calculate x.
-4, -1, 0
Let i(l) be the third derivative of l**9/13608 + l**8/2520 - l**6/405 + 5*l**3 + 21*l**2. Let z(s) be the first derivative of i(s). Factor z(k).
2*k**2*(k - 1)*(k + 2)**2/9
Let x(i) be the second derivative of -i**7/126 + i**6/24 - i**5/12 + 5*i**4/72 + 17*i**2/2 + 2*i + 12. Let f(d) be the first derivative of x(d). Factor f(s).
-5*s*(s - 1)**3/3
Factor -2888/3 - 2/3*n**2 - 152/3*n.
-2*(n + 38)**2/3
Suppose 4*d + 0*d = -2*j - 64, -3*d - 5*j = 48. Let m be d/(-10) + 22/55. Factor 55 - 4