*7/119 - 4*u**6/255 + u**5/34 + u**4/51 - 231*u. Find m, given that j(m) = 0.
-2, -1/3, 0, 1
Let q(k) be the first derivative of -2*k**5/25 + 6*k**4/5 - 6*k**3 + 10*k**2 - 185. Factor q(n).
-2*n*(n - 5)**2*(n - 2)/5
Let g(i) = 5*i**3 - 34*i**2 - 5*i + 22. Let b(c) = 5*c**3 - 37*c**2 - 5*c + 21. Let o(r) = -3*b(r) + 4*g(r). Suppose o(f) = 0. Calculate f.
-1, 1, 5
Let a(h) be the second derivative of h**3/6 - h**2/2 + 6*h. Let o be a(4). Factor -8*j + 11*j**3 + j**o + 16*j**2 - 8*j.
4*j*(j + 2)*(3*j - 2)
Let h(x) = x**2 + 11*x - 9. Let j(q) = -4*q**2 - 12. Let w be j(0). Let p be h(w). Suppose -3/2*d**2 + p*d - 3/2 = 0. What is d?
1
Let h(w) be the second derivative of -1/3*w**4 - 3*w + 2/15*w**6 + 0*w**2 - 1/5*w**5 + 0*w**3 + 2/21*w**7 + 0. Factor h(g).
4*g**2*(g - 1)*(g + 1)**2
Let p = 290/119 - 632/357. Factor 0*v - 4/3*v**4 + 5/3*v**3 + 0 + 1/3*v**5 - p*v**2.
v**2*(v - 2)*(v - 1)**2/3
Let f(b) be the first derivative of b**5/30 - b**3/6 - b**2/6 - 155. Factor f(x).
x*(x - 2)*(x + 1)**2/6
Factor 5/3*g**3 + 125/3 - 15*g**2 + 25*g.
5*(g - 5)**2*(g + 1)/3
Let p(x) be the first derivative of x**3/18 + x**2/6 - 5*x/2 + 45. Factor p(t).
(t - 3)*(t + 5)/6
Let a(m) be the first derivative of 5*m**6/24 - 3*m**5/2 - 5*m**4 - 5*m**3/6 + 75*m**2/8 + 10*m - 151. Factor a(j).
5*(j - 8)*(j - 1)*(j + 1)**3/4
Let d(o) be the first derivative of 45/2*o**2 - 9*o**3 + 3/4*o**4 + 75*o + 15. Determine h so that d(h) = 0.
-1, 5
Let n be (-10)/(-2)*984/615. What is v in n*v**3 + 1/2 + 9/2*v + 12*v**2 = 0?
-1, -1/4
Find x, given that 1/10*x**4 - 3/10*x**3 + 3/10*x**2 - 1/10*x + 0 = 0.
0, 1
Let c = 10418 + -10416. Suppose -2*o + 11/2*o**3 - 3/2*o**4 - 4*o**c + 0 = 0. What is o?
-1/3, 0, 2
Suppose 2*i = 1 + 5. Determine u so that 10*u - 8*u - 8*u + i*u**2 = 0.
0, 2
Let l(c) = 9*c**3 - 9*c**2 - 18*c. Suppose -19 = -4*i - 5*f, 4*i - 6*f - 22 = -8*f. Let b(z) = -3*z**3 + 3*z**2 + 6*z. Let o(u) = i*l(u) + 17*b(u). Factor o(x).
3*x*(x - 2)*(x + 1)
Let x be (140/(-63))/((-646)/171). Factor -8/17*v**2 + x*v**4 + 0*v + 16/17*v**3 + 0.
2*v**2*(v + 2)*(5*v - 2)/17
Let z(a) be the third derivative of a**7/735 - a**6/105 - a**5/105 + a**4/7 + 3*a**3/7 - 251*a**2. Factor z(q).
2*(q - 3)**2*(q + 1)**2/7
Let z(t) be the second derivative of t**7/336 - t**6/20 + 13*t**5/80 + 13*t**4/24 - 9*t**3/16 - 5*t**2/2 + 2*t + 61. Suppose z(n) = 0. What is n?
-1, 1, 5, 8
Suppose 6*l - 10*l = -8. Factor b**2 - 4*b + 0*b - 13*b**l + 0*b - 3*b**4 - 11*b**3.
-b*(b + 1)*(b + 2)*(3*b + 2)
Let c(a) = -a**3 - 6*a**2 + 6*a - 3. Let r be c(-7). Suppose 4*h + 5*n = 154, 0 = -h - 2*h - 4*n + 116. Factor -66 + 34 + i**2 + r*i + h.
(i + 2)**2
Let g(v) be the third derivative of v**8/112 - 2*v**7/35 - 19*v**6/20 - 3*v**5 - 27*v**4/8 + 16*v**2 + 3*v. Factor g(y).
3*y*(y - 9)*(y + 1)**2*(y + 3)
Let b(t) be the third derivative of t**8/896 - t**7/560 - 3*t**6/320 + t**5/160 + t**4/32 - 19*t**2. Find r such that b(r) = 0.
-1, 0, 1, 2
Let y be 1/(-4) + 18/72. Let d(a) be the second derivative of -1/3*a**2 + y - 8/9*a**3 + 4*a - 8/9*a**4. Let d(g) = 0. Calculate g.
-1/4
Let o(c) be the third derivative of -c**8/588 + 2*c**7/735 + 3*c**6/70 - c**5/21 - 8*c**4/21 + 8*c**3/7 + 100*c**2. Let o(k) = 0. What is k?
-2, 1, 3
Let d(k) be the first derivative of -k**6/12 - k**5/5 + k**4/2 + k**3/3 - 3*k**2/4 - 39. Solve d(g) = 0 for g.
-3, -1, 0, 1
Let s(a) be the third derivative of a**8/168 - a**6/15 - a**5/15 + a**4/4 + 2*a**3/3 - 232*a**2. Suppose s(f) = 0. Calculate f.
-1, 1, 2
Let o(x) be the second derivative of -2*x**7/21 - 2*x**6/5 + 2*x**5/5 + 4*x**4 + 16*x**3/3 - 71*x. Let o(y) = 0. What is y?
-2, -1, 0, 2
Let r(t) = -t**3 + 6*t**2 + 6*t + 8. Let g be r(7). Suppose g = 5*h - 9. Factor 10*q**3 - 18*q**h - 4 + q**4 - 2*q**4 - q**4 + 14*q.
-2*(q - 2)*(q - 1)**3
Let u be (-6)/8 - (8901/12)/3. Let z = -991/4 - u. Factor 0*q + 3/4*q**2 - q**3 + z*q**4 + 0.
q**2*(q - 3)*(q - 1)/4
Let z(r) = 0*r**2 + 13*r - 3*r - 4*r**2 + r**3 - 10. Let n(f) = 58 - 57 + f - 11*f**2 + 10*f**2. Let k(d) = -6*n(d) - 3*z(d). Suppose k(x) = 0. Calculate x.
2
Let s be (-3 + 19/3)*108/225. Suppose -s*d + 1/5*d**2 + 16/5 = 0. Calculate d.
4
Let s(h) be the first derivative of -h**6/3 + 6*h**5/5 + 5*h**4 + 4*h**3/3 - 9*h**2 - 10*h - 19. Determine o, given that s(o) = 0.
-1, 1, 5
Let z(j) = j**5 - j**4 - 2*j**3 + 2*j. Let g(y) = -4*y**5 + 24*y**4 - 27*y**3 - 25*y**2 + 32*y. Let r(m) = g(m) - z(m). Determine x so that r(x) = 0.
-1, 0, 1, 2, 3
Let j(p) be the third derivative of -7/24*p**4 + 1/105*p**7 + 0*p - 1/2*p**3 + 7/120*p**6 + 1/60*p**5 - 11*p**2 + 0. Suppose j(n) = 0. What is n?
-3, -1, -1/2, 1
Let j(v) be the second derivative of -3*v**5/80 + 99*v**4/16 - 300*v**3 - 1875*v**2/2 - 115*v + 2. Factor j(g).
-3*(g - 50)**2*(g + 1)/4
Let i(l) be the third derivative of -l**5/300 + 29*l**4/120 + 21*l**2 - 5*l. Find k, given that i(k) = 0.
0, 29
Let -4/5 + 88/5*b**2 - 84/5*b = 0. What is b?
-1/22, 1
Let d(p) be the second derivative of p**5/40 + 7*p**4/12 + 13*p**3/12 + 40*p - 1. Suppose d(o) = 0. Calculate o.
-13, -1, 0
Let h(j) be the second derivative of j**6/180 + j**5/30 + 5*j**4/72 + j**3/18 - 2*j - 14. Determine t so that h(t) = 0.
-2, -1, 0
Suppose -2*p - 20 = -3*p. Factor -18*d - 3*d**4 + p*d + 40*d + 15 + 6*d**3 + 36*d**2.
-3*(d - 5)*(d + 1)**3
Suppose 6*c = 811 + 209. Let a = c + -170. Factor -1/5 + a*z + 1/5*z**2.
(z - 1)*(z + 1)/5
Let w be -10*17/(-680)*2. Factor -c + w*c**2 + 0.
c*(c - 2)/2
Let z(d) = -d**3 - 5*d**2 + 3*d - 5. Let u be z(-6). Let b = u - 10. Factor r**3 + 2*r**2 - 4*r**b + 7*r**3 + 2*r**4.
2*r**2*(r + 1)**2
Let d(w) = -5*w**2 - 20*w - 53. Let q(y) = 6*y**2 + 20*y + 54. Let s = 34 - 31. Let o(i) = s*q(i) + 4*d(i). Factor o(b).
-2*(b + 5)**2
Factor -480*g + 955/2*g**2 + 5/2*g**3 + 0.
5*g*(g - 1)*(g + 192)/2
Let p(o) = 6*o**4 + 2*o**3 - 88*o**2 - 94*o + 174. Let m(k) = -2*k**4 - k**3 + 29*k**2 + 31*k - 57. Let z(s) = 10*m(s) + 3*p(s). Find t such that z(t) = 0.
-4, -2, 1, 3
Let g(h) be the third derivative of -7/15*h**5 + 0*h + 16*h**2 + 0 + 4/3*h**3 + 5/6*h**4. Factor g(t).
-4*(t - 1)*(7*t + 2)
Let q(s) = -5*s**4 - 14*s**3 - 16*s**2 - 14*s - 3. Let f(o) = -8*o + o**4 - o**2 + 2*o**3 - o**3 + 18*o - 9*o. Let n(m) = -2*f(m) - q(m). Factor n(p).
3*(p + 1)**4
Factor 3941*m**2 - 6*m**3 + 3*m**4 + 2*m - 32*m - 3980*m**2.
3*m*(m - 5)*(m + 1)*(m + 2)
Let k(y) be the first derivative of -y**6/15 + 4*y**5/25 + 11*y**4/2 - 112*y**3/15 - 397. Suppose k(x) = 0. Calculate x.
-7, 0, 1, 8
Factor 0 + 24*w - 12*w**2 - 32/3*w**3 - 4/3*w**4.
-4*w*(w - 1)*(w + 3)*(w + 6)/3
What is a in 94/3*a - 16 - 11/3*a**2 = 0?
6/11, 8
Let y(n) be the second derivative of -n**10/22680 + n**9/7560 - n**7/3780 + n**4/6 - 16*n. Let a(l) be the third derivative of y(l). Solve a(k) = 0.
-1/2, 0, 1
Let g(l) be the second derivative of -2*l**3 + 3/2*l**2 + 3/2*l**4 + 1/10*l**6 - 16*l + 0 - 3/5*l**5. Factor g(z).
3*(z - 1)**4
Let i(v) be the second derivative of v**5/10 - 44*v. Find k such that i(k) = 0.
0
Let j = 701/4 + -2575/12. Let t = j - -40. Determine h, given that -t*h**2 - 2/3*h**5 + 0*h + 2/3*h**3 + 2/3*h**4 + 0 = 0.
-1, 0, 1
Let z(y) be the third derivative of y**8/672 - y**7/60 + y**6/24 + y**5/60 - 11*y**4/48 + 5*y**3/12 - 83*y**2 - y. Factor z(h).
(h - 5)*(h - 1)**3*(h + 1)/2
Let q(a) be the first derivative of 0*a**3 - 1/300*a**6 + 0*a - 7/2*a**2 - 1/60*a**4 + 1/75*a**5 + 3. Let j(k) be the second derivative of q(k). Factor j(m).
-2*m*(m - 1)**2/5
Let r(o) be the first derivative of 0*o**2 - 1/16*o**4 - 15 + 0*o + 1/6*o**3. Let r(b) = 0. What is b?
0, 2
Let v(l) = -10*l**4 - 4*l**3 + 12*l**2 + 12. Let i(n) = -9*n**4 - 3*n**3 + 10*n**2 + 10. Let x(a) = 6*i(a) - 5*v(a). Factor x(f).
-2*f**3*(2*f - 1)
Let a(i) be the third derivative of 1/108*i**4 + 0 + 0*i + 10*i**2 + 1/945*i**7 - 1/540*i**6 - 1/270*i**5 + 0*i**3. Solve a(s) = 0 for s.
-1, 0, 1
Factor 2/13*o**2 + 3200/13 - 160/13*o.
2*(o - 40)**2/13
Factor 4/7*r + 2/7*r**2 + 2/7.
2*(r + 1)**2/7
Let k(d) be the first derivative of d**7/210 - d**6/9 + 17*d**5/30 - 4*d**4/3 + 5*d**3/3 - 24. Let a(t) be the third derivative of k(t). Factor a(n).
4*(n - 8)*(n - 1)**2
Let m(z) be the second derivative of z**9/1512 - z**8/840 - z**7/420 + z**6/180 + 13*z**3/6 + 5*z. Let x(a) be the second derivative of 