08/171 - -9876/19. Let -u + 4/9*g**2 - 1/9*g**3 + 1/9*g = 0. Calculate g.
-1, 1, 4
What is t in -4/7*t**5 - 8/7*t**4 + 4/7*t + 0 + 0*t**3 + 8/7*t**2 = 0?
-1, 0, 1
Let i(t) = -t**5 - t**4 - t**2 - t + 1. Let f(g) = -9*g**5 - 27*g**4 - 27*g**3 + 39*g**2 + 12*g - 24. Let d(h) = -f(h) + 12*i(h). Solve d(s) = 0 for s.
-2, -1, 1, 6
Let b(a) be the third derivative of a**9/1512 - a**8/448 - a**7/252 - 7*a**4/24 + 4*a**2. Let z(q) be the second derivative of b(q). Factor z(f).
5*f**2*(f - 2)*(2*f + 1)
Let r(i) be the first derivative of -i**9/18144 + i**8/10080 + i**7/2520 - 4*i**3/3 - 2. Let p(n) be the third derivative of r(n). Factor p(k).
-k**3*(k - 2)*(k + 1)/6
Let x(i) be the second derivative of -i**8/7560 - 2*i**3 - 9*i. Let g(w) be the second derivative of x(w). Factor g(j).
-2*j**4/9
Let h(k) be the second derivative of 3*k**4/4 + 8*k**3/3 + 8*k**2 - 13*k. Let j(o) = -35*o**2 - 65*o - 65. Let p(b) = -15*h(b) - 4*j(b). Solve p(c) = 0 for c.
-2
Let p(x) = x**2 - 6*x + 14. Let h be p(4). Let n(v) = v**2 - 1. Let o(w) = -3*w**3 + 11*w**2 - 21*w - 3. Let u(j) = h*n(j) + o(j). Factor u(b).
-(b - 3)**2*(3*b + 1)
Let f(o) be the first derivative of -o**4/12 + 83*o**3/9 - 345. Factor f(k).
-k**2*(k - 83)/3
Find o, given that 12*o**3 - o**5 - 97*o**2 - 36 - 11*o**4 - 56*o**3 - 3*o**3 - 96*o = 0.
-3, -2, -1
Let h = -9341/6 - -1557. Let b(d) be the first derivative of 0*d + 2/3*d**3 + h*d**4 - 10 + 2/3*d**2. Factor b(k).
2*k*(k + 1)*(k + 2)/3
Suppose 0 = -14*d - 378 + 378. Find j such that -6/7*j**2 - 1/7*j + d - 12/7*j**4 - 13/7*j**3 - 4/7*j**5 = 0.
-1, -1/2, 0
Let r(q) = q**2 + 30*q - 7. Let g(v) = v**2 + 10*v - 2. Let x = 7 - 4. Let c(k) = x*r(k) - 8*g(k). Factor c(b).
-5*(b - 1)**2
Let w(k) be the third derivative of 0*k - 1/240*k**5 + 1/32*k**4 + 0*k**3 + 10*k**2 + 0. What is x in w(x) = 0?
0, 3
Let y(c) be the third derivative of -1/10*c**6 + 1/8*c**4 + 0*c**3 - 39*c**2 - 1/10*c**5 + 0*c + 1/35*c**7 + 0 + 3/112*c**8. Find f such that y(f) = 0.
-1, 0, 1/3, 1
Let d(b) be the first derivative of -b**3/18 + 11*b**2/12 - 5*b/3 + 144. Factor d(w).
-(w - 10)*(w - 1)/6
Let i(f) be the third derivative of -f**7/630 - f**6/90 + 7*f**4/24 + 28*f**2. Let s(y) be the second derivative of i(y). Let s(n) = 0. What is n?
-2, 0
Let k = 1202 + -1199. Let c = 2/99 - -164/1683. Solve 0 - c*r - 2/17*r**k + 4/17*r**2 = 0 for r.
0, 1
Let i = -8778 + 26342/3. Factor i*w**2 - 4/3*w**3 - 4/3*w + 0.
-4*w*(w - 1)**2/3
Factor -53/5*d**2 + 0 + 0*d - 1/5*d**3.
-d**2*(d + 53)/5
Let f(s) = s**4 + s**3 - s. Let q be 0 + -3 + 4 + -7. Let n(v) = -3*v**4 - 9*v**3 + 6*v. Let t(d) = q*f(d) - n(d). Find x, given that t(x) = 0.
0, 1
Let a = -78987/280 - -1741/40. Let d = a - -239. Solve -6/7*p + d*p**2 + 3/7 = 0.
1
Factor 5*p**2 + 4*p**4 + 24*p**2 - 25*p + 5*p**3 - 9*p**4 - 14*p**2 + 10.
-5*(p - 1)**3*(p + 2)
Let q(p) be the third derivative of 0*p + 0*p**3 - 1/108*p**4 - 1/540*p**6 + 0 - 1/135*p**5 + 23*p**2. Find l such that q(l) = 0.
-1, 0
Let r(i) be the second derivative of 9*i**5/4 - 15*i**4/4 + 5*i**3/3 - 170*i. Find l such that r(l) = 0.
0, 1/3, 2/3
Let p(t) be the first derivative of 16/21*t**3 + 3/7*t**2 + 0*t - 23. Factor p(i).
2*i*(8*i + 3)/7
Let t(b) be the first derivative of b**5/45 + b**4/6 - 11*b**3/27 - 10*b**2/3 + 100*b/9 - 38. Suppose t(v) = 0. What is v?
-5, 2
Let b = 3375 - 23592/7. Factor -6/7*w - b*w**2 - 15/7*w**5 + 0 - 51/7*w**4 - 9*w**3.
-3*w*(w + 1)**3*(5*w + 2)/7
Let r(l) = -4*l + 43. Let h be r(8). Let a be 2/h - (-208)/429. Determine n so that n**3 + 7/3*n**2 - n - 5/3*n**4 - a = 0.
-1, -2/5, 1
Let q(c) be the first derivative of 10 + 4*c + 0*c**2 - 3/2*c**3 - 3/20*c**5 + c**4. Let y(m) be the first derivative of q(m). Suppose y(g) = 0. Calculate g.
0, 1, 3
Suppose -4*z - 69 = 3*g, 7*g - 3*g = -z - 92. Let f = -68/3 - g. Factor -1/3*w**3 - 1/6 + 1/6*w**4 + f*w + 0*w**2.
(w - 1)**3*(w + 1)/6
Let f(b) be the second derivative of 8*b - 1/4*b**4 + 0 + 0*b**2 + 0*b**3. Determine w, given that f(w) = 0.
0
Suppose -2/7*z**2 - 2/7 - 4/7*z = 0. What is z?
-1
Let q = 614926/2184357 + 12/12341. Let x = 3/59 + q. Solve -x*l**5 + 2/3*l**3 - 2/3*l**4 + 2/3 + 7/3*l + 8/3*l**2 = 0.
-1, 2
Let q(p) be the first derivative of p**6/14 - 111*p**5/35 + 969*p**4/28 + 361*p**3/7 - 286. Suppose q(m) = 0. Calculate m.
-1, 0, 19
Let w = 30 + 25. Let r = w - 55. Factor -2/3*n**3 + 0*n + 0*n**2 + 2/3*n**4 + r.
2*n**3*(n - 1)/3
Suppose 97 - 123 - 230 = -128*x. Factor -1/3*m**x - 1/3*m**3 + 0 + 2/3*m.
-m*(m - 1)*(m + 2)/3
Suppose 0 = 5*u - 5 - 10. Factor -6*p**2 + 5*p - 5*p**u + 1 + 1 - 8*p**3 + 4*p**3.
-(p + 1)*(3*p - 2)*(3*p + 1)
Let i(y) be the second derivative of -2*y**6/15 - 7*y**5/5 - 6*y**4 - 40*y**3/3 - 16*y**2 + 120*y. Factor i(d).
-4*(d + 1)*(d + 2)**3
Let d(m) be the first derivative of -3*m**5/35 - 3*m**4/4 + m**3 + 129*m**2/14 - 18*m + 571. Solve d(a) = 0.
-7, -3, 1, 2
Let p(d) = -2*d**2 + 8*d - 4. Let g be p(3). Suppose 5*v = -4*n + 35, 0*n - g*n + 25 = 5*v. Find r, given that 4*r**3 - 8*r**3 + 0*r**v + 5*r**2 - r**2 = 0.
0, 1
Suppose -44 = 6*s - 62. Let q(f) be the third derivative of 0*f**s + 7*f**2 + 1/6*f**4 + 0*f + 11/30*f**5 + 0. Factor q(r).
2*r*(11*r + 2)
Suppose 3*z = 3*c - 3, -2*c = -4*z - 5*c + 17. Factor -15*j**z - 15*j + 6*j + 17 + 10 - 3*j**3.
-3*(j - 1)*(j + 3)**2
Let w(a) be the second derivative of -a**6/6 - 5*a**5/4 + 5*a**4/2 + 61*a. Factor w(h).
-5*h**2*(h - 1)*(h + 6)
Suppose -5*f + 5*a - 44 = 41, -8 = 2*a. Let d be (-40)/(-42) + 6/f. Determine r, given that d*r - 2/15*r**4 + 4/15 - 2/15*r**3 + 2/5*r**2 = 0.
-1, 2
Let j(g) = 3*g**5 + 24*g**4 + 29*g**3 + 3*g**2 + 10. Let u(r) = -16*r**5 - 132*r**4 - 160*r**3 - 16*r**2 - 56. Let o(p) = -28*j(p) - 5*u(p). Factor o(z).
-4*z**2*(z + 1)**3
Let d(j) be the second derivative of -5*j**2 + 0 + 1/6*j**6 + 55/36*j**4 - 13/12*j**5 + 54*j + 25/18*j**3. Let d(o) = 0. Calculate o.
-2/3, 1, 3
Let u(r) be the first derivative of 5*r**4/12 - 115*r**3/9 + 100*r**2 + 240*r + 440. Suppose u(o) = 0. Calculate o.
-1, 12
Let w be ((-28)/(-6))/(2/3). Let z(t) = 3*t**2 - 18*t - 21. Let d(q) = -4*q**2 + 18 - 9 + 18*q + 11. Let n(h) = w*z(h) + 6*d(h). Factor n(p).
-3*(p + 3)**2
Let t(i) = -17*i**3 - 236*i**2 + 24*i - 54. Let c be t(-14). Solve -9/2*l - 4 - 1/2*l**c = 0.
-8, -1
Suppose -2*t = 2*t - 24. Let w be ((-8)/t)/((-20)/30). Determine g, given that -2/9*g**w - 2/9 - 4/9*g = 0.
-1
Determine r so that -45/2*r + 11/2 + 3/2*r**5 - 37/2*r**4 + 21*r**3 + 13*r**2 = 0.
-1, 1/3, 1, 11
Let l(r) be the first derivative of r**5/36 - 5*r**4/36 + 5*r**3/18 - 10*r**2 + 34. Let b(c) be the second derivative of l(c). Factor b(s).
5*(s - 1)**2/3
Let b(d) be the third derivative of d**7/840 - d**5/40 + 25*d**4/24 + 2*d**2. Let j(z) be the second derivative of b(z). Find g such that j(g) = 0.
-1, 1
Let b(y) be the third derivative of y**5/20 - 21*y**4/2 + 82*y**3 + 484*y**2. Determine l, given that b(l) = 0.
2, 82
Factor -1 + 7*j + 235*j**3 - j**5 - 2*j**2 - 2 - 241*j**3 + 5*j**4.
-(j - 3)*(j - 1)**3*(j + 1)
Let i(f) be the second derivative of -f**8/112 + 3*f**6/40 - f**5/10 - 9*f**2/2 - 3*f. Let g(r) be the first derivative of i(r). Let g(p) = 0. Calculate p.
-2, 0, 1
Suppose a + 57 = f + 55, f - 5 = 0. Let g(k) be the third derivative of 1/20*k**5 + 0*k**a + 1/8*k**4 + 0*k + 0 - 3*k**2. Solve g(c) = 0 for c.
-1, 0
Let q(s) be the first derivative of -28*s**3/15 + 29*s**2/10 + 9*s/5 + 141. Let q(l) = 0. What is l?
-1/4, 9/7
Let r be (4/(-5))/((-20)/50). Suppose -g**5 + 7*g + r*g**3 - 7*g - g = 0. What is g?
-1, 0, 1
Let g(a) be the third derivative of 2/3*a**4 + 0*a + 2*a**3 + 0 + 1/15*a**5 - 6*a**2. Find w such that g(w) = 0.
-3, -1
Let t(i) be the third derivative of 1/40*i**6 + 0 - 256*i**3 - 6/5*i**5 + 0*i - 3*i**2 + 24*i**4. Determine v, given that t(v) = 0.
8
Let t = 101686 - 5287369/52. Let a = t + -66/13. Solve 0 + a*s**2 - 7*s**4 - 1/2*s + 27/4*s**3 = 0 for s.
-2/7, 0, 1/4, 1
Let y(p) = -3*p + 5. Let c(g) = -2*g + 5. Let v(n) = -4*c(n) + 3*y(n). Let i be v(-7). Factor -5*o**3 - 2*o + 7*o**3 - 8*o**3 - 2*o**4 - 6*o**i.
-2*o*(o + 1)**3
Let x(s) = -2*s + 10. Let h be x(0). Suppose h + 5 = 5*c. Factor 2/9*d**2 + 2/9*d**4 + 4/9*d**c + 0*d + 0.
2*d**2*(d + 1)**2/9
Factor 21*b**3 + 27*b**4 - 121 - 5*b**3 + 159*b**2 + 133 + 98*b**3 + 84