 be the third derivative of t**8/784 - t**7/70 - t**6/7 - 11*t**5/35 - 87*t**2. Factor g(l).
3*l**2*(l - 11)*(l + 2)**2/7
Suppose 38 = 2*w - y, 58 = 3*w - 0*w - y. Let n be -4*(-2)/w*20. Factor n - 6*c**2 + 4*c**3 + 0*c - 2*c + 2*c**4 - 5*c - c.
2*(c - 1)**2*(c + 2)**2
Let q be (1856/(-24))/8 - -11. Factor 2/15*r**2 + 10/3 - q*r.
2*(r - 5)**2/15
Let a(y) = y**5 - y**4 - y**2 + y - 1. Let q = 12 + -16. Let l(c) = 6*c**5 + 2*c**4 + 4*c**3 - 8*c**2 - 2*c - 6. Let g(p) = q*a(p) + l(p). Factor g(n).
2*(n - 1)*(n + 1)**4
Determine i, given that -2 - 2/3*i**2 + 8/3*i = 0.
1, 3
Let v(z) be the first derivative of -z**5/390 - z**4/156 + 6*z**2 - 24. Let w(u) be the second derivative of v(u). Determine o so that w(o) = 0.
-1, 0
Let j(m) be the second derivative of 2/21*m**4 + 2*m - 4/7*m**2 + 2/21*m**3 + 0 - 1/35*m**5. Factor j(c).
-4*(c - 2)*(c - 1)*(c + 1)/7
Let i(z) be the third derivative of -z**7/70 + 9*z**6/40 - 6*z**5/5 + 2*z**4 + 61*z**2. Suppose i(v) = 0. Calculate v.
0, 1, 4
Let z be (-26)/65 - ((-81)/15)/1. Let w(h) be the first derivative of 0*h + 11 + 1/26*h**4 - 1/13*h**2 - 8/39*h**3 + 8/65*h**z. Let w(b) = 0. What is b?
-1, -1/4, 0, 1
Let l(f) be the first derivative of f**3/5 - 3*f**2/2 + 63. Factor l(i).
3*i*(i - 5)/5
Let h(k) be the second derivative of 0 + 1/8*k**4 + 3/40*k**5 - 16*k + 0*k**3 + 0*k**2. Find t such that h(t) = 0.
-1, 0
Let b(s) = -17*s**4 + 17*s**3 + 120*s**2 - 7*s. Let t(d) = 9*d**4 - 9*d**3 - 60*d**2 + 4*d. Let i(j) = -4*b(j) - 7*t(j). Determine u, given that i(u) = 0.
-3, 0, 4
Let k(v) be the second derivative of 2*v**7/21 + 16*v**6/15 + 23*v**5/5 + 28*v**4/3 + 8*v**3 - 2*v + 15. Suppose k(j) = 0. What is j?
-3, -2, -1, 0
Let g(q) be the second derivative of 1/6*q**3 + 1/60*q**4 - 5*q + 0 - 1/100*q**5 + 3/10*q**2. Solve g(c) = 0 for c.
-1, 3
Suppose -5*m = -3*d - 27, 9*m + 4*d = 4*m - 1. Let w(k) be the first derivative of 1/4*k**2 + 1/10*k**5 - 1/6*k**3 - 1/8*k**4 + m + 0*k. Factor w(z).
z*(z - 1)**2*(z + 1)/2
Let t(d) be the first derivative of -18 - 2*d - 2/9*d**3 + 4/3*d**2. Factor t(u).
-2*(u - 3)*(u - 1)/3
Let m = -259 + 262. Let a(d) be the second derivative of -6*d - 1/4*d**m + 1/8*d**4 + 0*d**2 + 0. Determine b, given that a(b) = 0.
0, 1
Let s be -2*(6 - 4)*(-5)/4. Let n(h) be the third derivative of 0 + 1/2*h**4 + 0*h + 0*h**3 - 1/15*h**s - 4*h**2. Factor n(k).
-4*k*(k - 3)
Let a(t) be the third derivative of 0 + 1/12*t**3 + 1/24*t**4 - 1/160*t**5 - 3/320*t**6 + 0*t + 8*t**2. Find i such that a(i) = 0.
-2/3, 1
Let s = -52 - -52. Let q(o) be the third derivative of 0 + 6*o**2 + 1/30*o**7 + 0*o - 1/12*o**4 + s*o**3 + 1/10*o**6 + 1/20*o**5. Factor q(t).
t*(t + 1)**2*(7*t - 2)
Let a(p) be the third derivative of -1/8*p**4 + 1/224*p**8 + 20*p**2 + 3/40*p**5 - 3/140*p**7 + 0 + 0*p**3 + 1/80*p**6 + 0*p. Determine c so that a(c) = 0.
-1, 0, 1, 2
Let h = 346 - 343. Let a(f) be the first derivative of 0*f + 3/4*f**2 + 1/2*f**3 + h. Determine v, given that a(v) = 0.
-1, 0
Factor 4/9*d**3 - 364/3*d**2 + 33124/3*d - 3014284/9.
4*(d - 91)**3/9
Let j(d) be the third derivative of -12*d**2 - 1/2*d**4 + 1/2*d**3 - 1/10*d**6 + 1/70*d**7 + 3/10*d**5 + 0*d + 0. Factor j(i).
3*(i - 1)**4
Suppose 5*a = 2*a - 9, -5*x = 4*a - 8. Factor -2*u**2 + 5*u**2 + 2*u**x - 3*u**3 + 0*u**4 - u**4 - u.
u*(u - 1)**3
Let v(j) be the second derivative of 0 - 5/24*j**3 + 0*j**2 + 5/48*j**4 + 3*j. Factor v(a).
5*a*(a - 1)/4
Let l(u) be the first derivative of -u**6/360 - u**5/30 - u**4/6 + u**3/3 + 19. Let c(z) be the third derivative of l(z). Factor c(j).
-(j + 2)**2
Let s(z) = -3*z - 49. Let m be s(-15). Let o be 1560/1638 + 1/(14/m). Factor 0*x**2 + 0 - o*x + 2/3*x**3.
2*x*(x - 1)*(x + 1)/3
Let x(l) = l**2 - 19*l + 4. Let h be x(19). Find i such that h*i**2 - 5*i**3 - 3*i**4 - 3*i**2 + i + 0*i**4 - 2*i**2 = 0.
-1, 0, 1/3
Let y = 35 - 31. Let j(i) be the second derivative of -i + 1/6*i**3 + 0 + 1/6*i**y - i**2 - 1/20*i**5. Factor j(x).
-(x - 2)*(x - 1)*(x + 1)
Factor 0 + 20*y - 1/2*y**3 + 39/2*y**2.
-y*(y - 40)*(y + 1)/2
Suppose -3*u + 17 = 4*w, 2*w + 15*u - 18*u + 5 = 0. Suppose -w*s = 3*s - 7*s. Suppose 0*a + s + 1/6*a**5 + 1/6*a**4 + 0*a**3 + 0*a**2 = 0. Calculate a.
-1, 0
Let b(h) = -65*h**2 + 310*h + 330. Let j(p) = 3*p**2 - 14*p - 15. Let l(w) = 2*b(w) + 45*j(w). Find s such that l(s) = 0.
-1, 3
Let p = 136/3 - 45. Let s(o) be the second derivative of p*o**3 + 7/12*o**4 - 4*o - 1/3*o**6 + 0*o**2 + 0 + 1/20*o**5. Factor s(h).
-h*(h - 1)*(2*h + 1)*(5*h + 2)
Let a(j) = -2*j**3 - j - 3. Let x(l) = 13*l + 1. Let f(r) = 2*r. Let q(d) = 6*f(d) - x(d). Let i(w) = a(w) - 3*q(w). Suppose i(z) = 0. What is z?
-1, 0, 1
Let u(t) = 4*t**2 + 116*t - 372. Let b(v) = -v + 4. Let n(o) = -12*b(o) + u(o). Find l, given that n(l) = 0.
-35, 3
Let s(m) = -m**2 - 6*m - 1. Let u be s(-3). Let f = 11 - u. Factor 9*k**2 + f*k**3 + 37 + 6*k - 37.
3*k*(k + 1)*(k + 2)
Factor 87*f - 16 - 11*f**3 - 23*f + f**5 + 3554*f**2 + 4*f**4 - 16 - 3580*f**2.
(f - 2)*(f - 1)**2*(f + 4)**2
Let n be (-10)/(-2*(-355)/140 - 5). Let l be (-18)/(-12)*(-7)/(n/8). Solve 0*z + 3/5 - l*z**2 = 0 for z.
-1, 1
Let y = -101 + 103. Factor 12*v**y - 93*v**4 + 48*v**3 - 97*v**4 - 97*v**4 + 308*v**4.
3*v**2*(v + 2)*(7*v + 2)
Find g, given that -2*g**3 + 1039497 + 744*g**2 - 69192*g - 1039497 = 0.
0, 186
Let q(i) be the first derivative of i**8/2240 + i**7/560 + i**6/480 + 13*i**3/3 - 10. Let l(u) be the third derivative of q(u). Determine k so that l(k) = 0.
-1, 0
Let d(i) = 12*i - 238. Let m be d(20). Let u(f) be the first derivative of -4 - 9/2*f**m - 6*f - f**3. Suppose u(n) = 0. What is n?
-2, -1
Suppose 147*m - 4 = -13 + 9. Factor -4/7*g**3 - 2/7*g**2 + m*g + 0.
-2*g**2*(2*g + 1)/7
Suppose 10 + 10 = w. Determine l so that -10*l**4 - 26*l**5 - w*l**5 + 41*l**5 - 5*l**3 = 0.
-1, 0
Let y(x) = -6*x + 188. Let o be y(31). Let c(r) be the first derivative of 7/9*r**3 - 6 - 23/6*r**o + 2*r. Determine m, given that c(m) = 0.
2/7, 3
Let m(j) = 5*j**3 + 11*j**2 + 8*j - 36. Let v(r) = 4*r**3 + 12*r**2 + 9*r - 34. Let s(i) = -3*m(i) + 4*v(i). Factor s(y).
(y - 1)*(y + 2)*(y + 14)
Let f be (-4)/(-14) - (-9)/(-105). Let g(t) = t**2 + 5*t - 12. Let l be g(-7). Solve 3/5*d + 2/5 + f*d**l = 0 for d.
-2, -1
Find m, given that 0 - 4/3*m + 28/3*m**2 - 49/3*m**3 = 0.
0, 2/7
Let y(l) be the third derivative of -l**6/780 - 4*l**5/65 - 7*l**4/52 + 46*l**3/39 - 757*l**2. Let y(i) = 0. What is i?
-23, -2, 1
Let y(t) be the third derivative of -t**5/150 + t**4/60 + 4*t**3/5 - 4*t**2 + 6. Solve y(c) = 0.
-3, 4
Let y(f) be the second derivative of f**5/20 - f**4/12 + f**3/6 - f**2/2 - 9*f. Let k(q) = -3*q**3 + 15*q**2 - 9*q - 3. Let o(g) = k(g) + 6*y(g). Factor o(m).
3*(m - 1)*(m + 1)*(m + 3)
Let q(k) = 4*k**2 + 12*k - 24. Let m(x) = x + 2. Let b(a) = -4*m(a) + q(a). Factor b(w).
4*(w - 2)*(w + 4)
Let g(i) be the second derivative of 0*i**2 - 1/20*i**5 + 1/6*i**4 + 0 - 1/30*i**6 + 27*i + 0*i**3. Suppose g(h) = 0. What is h?
-2, 0, 1
Let y(t) = -8*t - 7. Let c be y(-3). Let q(b) be the first derivative of c*b**3 + 3*b**4 - 3*b + 30*b**2 + 15*b + 1 + 0*b**4. Solve q(v) = 0.
-2, -1/4
Let a = 317/85 + -60/17. Let g(b) be the third derivative of 0 - 4/15*b**3 - a*b**4 - 1/50*b**5 - 2*b**2 + 0*b + 1/60*b**6. Factor g(x).
2*(x - 2)*(x + 1)*(5*x + 2)/5
Suppose 34 - 2 = -8*h. Let j = 6 + h. Factor 1/2*i**j + 0 - i.
i*(i - 2)/2
Let u(y) be the second derivative of -y**7/35 - y**6/15 + y**5/30 + y**4/6 + 7*y**2 + 16*y. Let b(c) be the first derivative of u(c). Factor b(n).
-2*n*(n + 1)**2*(3*n - 2)
Suppose -18*i + 2*i = 3*i. Factor i*o**2 + 2*o - 7/2*o**3 + 3/2*o**4 + 0.
o*(o - 2)*(o - 1)*(3*o + 2)/2
Let b(l) be the second derivative of 0*l**3 - 10/21*l**7 + 0*l**2 + 0 - 8*l + 8/3*l**4 - 12/5*l**5 - 12/5*l**6. Find m such that b(m) = 0.
-2, 0, 2/5
Let a(h) be the first derivative of -50*h**6/3 - 156*h**5 - 519*h**4 - 2212*h**3/3 - 480*h**2 - 144*h + 74. Suppose a(s) = 0. Calculate s.
-3, -1, -2/5
Determine i, given that -28800/13 - 2/13*i**2 + 480/13*i = 0.
120
Let q be 4 + -4 - 16/(-25). Let p(h) be the first derivative of 4 - 6/5*h**2 + q*h**5 + 2/3*h**3 + 1/10*h**6 + 27/20*h**4 - 8/5*h. Find n, given that p(n) = 0.
-2, -1, 2/3
Let h(n) be the first derivative of -n**7/315 - 2*n**6/45 - n**5/5 + 3*n**3 - 11*n**2/2 - 9. Let d(