(k) be the second derivative of p(k). Factor b(a).
-(a - 1)**2*(a + 2)**2/4
Let y(u) be the second derivative of 0 + 2/9*u**7 + 104/9*u**3 + 103/15*u**5 + 110/9*u**4 + 88/45*u**6 + 16/3*u**2 + 10*u. Determine h, given that y(h) = 0.
-2, -1, -2/7
Let t(w) be the second derivative of w**5/110 - 2*w**4/11 + 7*w**3/11 - 10*w**2/11 + 199*w. Determine a, given that t(a) = 0.
1, 10
Let v = -26 - -20. Let x(o) = -o**3 - 5*o**2 - 4*o - 57. Let m be x(v). Factor 2/9*d**5 + 0 + 0*d - 2/9*d**2 - 2/9*d**m + 2/9*d**4.
2*d**2*(d - 1)*(d + 1)**2/9
Let q(u) = -17*u**2 + 3*u + 4. Let j(b) = 52*b**2 - 8*b - 12. Let k(s) = 5*j(s) + 16*q(s). Factor k(c).
-4*(c - 1)*(3*c + 1)
Suppose o + o - 6 = 0. Determine n so that 2*n**3 - 8 + n**4 + 8*n - 16*n + 4 - o*n**2 = 0.
-2, -1, 2
Let a(y) = -3*y**2 - 100*y + 183. Let x be a(-35). Let i(k) be the second derivative of 0 + k + 2/15*k**6 + 13/3*k**4 - 8*k**3 + x*k**2 - 6/5*k**5. Factor i(f).
4*(f - 2)**2*(f - 1)**2
Let a be (189/18)/3*1/(6 - -1). Let c = 1/16 + 7/16. What is t in -c*t**2 + 0*t + a = 0?
-1, 1
Let y(s) be the first derivative of -5/11*s**2 + 4/11*s - 14/33*s**3 - 3. Let y(t) = 0. Calculate t.
-1, 2/7
Factor 65/8*p**2 - 19*p**3 + 2*p**4 + 31/4*p + 9/8.
(p - 9)*(p - 1)*(4*p + 1)**2/8
Let h(r) be the second derivative of r**5/70 + 2*r**4/21 + r**3/7 - 177*r. Factor h(f).
2*f*(f + 1)*(f + 3)/7
Suppose -30 = -5*a - 4*u, -2*a = -2*u + 4 + 2. Factor 4*d**4 + 4*d**a - 8*d**4 + 0*d**4.
-4*d**2*(d - 1)*(d + 1)
Factor -1/2*k**4 - 15/2*k**3 - 13*k**2 + 0*k + 0.
-k**2*(k + 2)*(k + 13)/2
Suppose -3*i = 3*m - 27, -2*m + 3*i = -3 + 5. Suppose -22*n = 5 - m. Factor -4/11*o**4 + 0 + n*o + 0*o**3 + 0*o**2 + 2/11*o**5.
2*o**4*(o - 2)/11
Let s = 1150 - 1145. Let z(c) be the second derivative of -1/9*c**3 - 1/3*c**2 + 0 + 2*c + 1/18*c**4 + 1/30*c**s. Factor z(v).
2*(v - 1)*(v + 1)**2/3
Let z be (2 + 2)/(24/18). What is f in 10*f + 15*f**4 - 5*f**2 - 3209 + 3209 - 20*f**z = 0?
-2/3, 0, 1
Let d be (-6)/((-42)/(-35)) - (-1 + -4). What is n in 9/5*n**3 + 2/5*n**4 - 4/5*n + d + 0*n**2 - 3/5*n**5 = 0?
-1, 0, 2/3, 2
Let a(w) be the second derivative of 0 - 1/210*w**7 - 1/10*w**2 - 1/50*w**5 + 1/10*w**3 + 13*w - 1/30*w**4 + 1/50*w**6. Factor a(r).
-(r - 1)**4*(r + 1)/5
Let l(n) = 2*n**2 + 14*n + 8. Let o be l(-7). Solve 381*s**3 - 7*s - 376*s**3 + 10 - o*s = 0.
-2, 1
Let a(k) = 5*k**3 + 7*k**2 + 9*k - 7. Let w(z) = -4*z**3 - 6*z**2 - 8*z + 6. Let l(r) = -6*a(r) - 7*w(r). Suppose l(o) = 0. What is o?
-1, 0, 1
Let k(d) be the third derivative of -d**7/210 + 8*d**6/15 - 74*d**5/5 - 544*d**4/3 - 2312*d**3/3 + 99*d**2. Determine z, given that k(z) = 0.
-2, 34
Let v(j) be the first derivative of j**4/16 - 36*j**3 + 7776*j**2 - 746496*j + 510. Factor v(x).
(x - 144)**3/4
Let i(s) be the third derivative of s**6/30 + 14*s**5/15 + 35*s**4/6 + 44*s**3/3 + 49*s**2 - 1. Factor i(x).
4*(x + 1)*(x + 2)*(x + 11)
Let m be (8/(-60))/(12/(-15)). Let q(v) be the second derivative of 0*v**2 + 0*v**3 - 7*v - 1/45*v**6 - m*v**4 + 0 - 2/15*v**5. Factor q(u).
-2*u**2*(u + 1)*(u + 3)/3
Suppose -7*d + 3*d = -48. Let s be (0 - (-1)/2)*d. What is f in 3*f - 6*f**3 - 3*f**3 + s*f**3 = 0?
-1, 0, 1
Let o(d) be the first derivative of d**6/6 + d**5/5 - 17*d**4/4 + 5*d**3 + 58. Factor o(a).
a**2*(a - 3)*(a - 1)*(a + 5)
Suppose 11 = u - 6. Let k = u - 17. What is p in k - 2*p**2 + 4/3*p + 2/3*p**3 = 0?
0, 1, 2
Let d = 83/5 + -327/20. Solve d*a**2 + 0 + 1/4*a = 0.
-1, 0
Find u such that 19/2*u + 13/4*u**2 - 1/2*u**3 + 6 - 1/4*u**4 = 0.
-3, -2, -1, 4
Let o(s) be the second derivative of -5*s**3 + 35/2*s**2 - 5/12*s**4 - 20*s + 0. Factor o(f).
-5*(f - 1)*(f + 7)
Let c(f) be the first derivative of -f**3/21 + 137*f**2/7 - 18769*f/7 + 173. Determine k so that c(k) = 0.
137
Suppose -3 = -0*s + s + 2*v, -5*s - 4*v + 9 = 0. Suppose -x - s = -4, -2*p = 4*x. Factor -9/5*a + 3/5*a**p + 6/5.
3*(a - 2)*(a - 1)/5
Let p = -28 + 31. Factor -4 + 8 - f**2 - 12*f**p - 4*f**4 + 4 + 12*f - 3*f**2.
-4*(f - 1)*(f + 1)**2*(f + 2)
Let q(b) be the second derivative of -3*b**5/20 + 7*b**3/2 - 9*b**2 - 68*b + 6. Factor q(t).
-3*(t - 2)*(t - 1)*(t + 3)
Suppose 108*z - 27 = 109*z. Let p be (z/(-2))/(6/1). Solve 3/4*s**4 + 0 + 3/2*s**2 + 0*s - p*s**3 = 0.
0, 1, 2
Let x(l) be the third derivative of l**7/455 - l**6/390 - 3*l**5/130 + l**4/13 - 4*l**3/39 + 175*l**2. Suppose x(d) = 0. Calculate d.
-2, 2/3, 1
Factor -18*t**3 + 38*t**2 + 6*t**5 - 4*t**5 - 2*t**4 - 20*t**2.
2*t**2*(t - 3)*(t - 1)*(t + 3)
Let v(w) = w**4 - 7*w**3 - 11*w**2 + 3. Let f(r) = -12*r**4 + 76*r**3 + 120*r**2 - 2*r - 34. Let y(a) = -6*f(a) - 68*v(a). What is b in y(b) = 0?
-3, -1, 0
Let d = 4 + 28. Let t be (d/(-3))/(6/(-9)). Let 3*a + 35*a - 20*a**3 + 23*a - 10 - t*a - 15*a**2 = 0. What is a?
-2, 1/4, 1
Let l(r) be the third derivative of r**8/140 - 9*r**7/280 + r**6/20 - r**5/40 + 11*r**3/3 + 31*r**2. Let n(o) be the first derivative of l(o). Solve n(d) = 0.
0, 1/4, 1
Let z(c) = -c**2 - c - 1. Let x(n) = -n**2 + 8*n + 11. Let m(i) = x(i) + 5*z(i). Let t(a) = 6*a**2 - 3*a - 5. Let s(l) = 5*m(l) + 6*t(l). Factor s(k).
3*k*(2*k - 1)
Find v, given that -6*v**3 + 34 - 614/3*v + 310*v**2 = 0.
1/3, 51
Factor 2*u**2 - 19*u**3 + 12*u**3 + 11*u**3 + 2*u**2.
4*u**2*(u + 1)
Let l be -2 - 6 - (180 - 193). What is d in 77/3*d**4 - 73/3*d**2 - 32/3*d + 49/3*d**l - 4/3 - 17/3*d**3 = 0?
-1, -2/7, 1
Let i(h) be the third derivative of -h**7/1960 - h**6/420 - h**5/280 + 3*h**3/2 + 2*h**2. Let p(a) be the first derivative of i(a). Suppose p(d) = 0. What is d?
-1, 0
Let a(r) = 2*r**3 + 32*r**2 + 108*r + 10. Let c(m) = m**3 + 31*m**2 + 108*m + 8. Let f(u) = -4*a(u) + 5*c(u). What is v in f(v) = 0?
-3, 0, 12
Let i(m) = m**4 + m**3 + 4*m**2. Let a(c) = -c**4 - c**3 - 8*c**2. Suppose 3*t + 28 = 4*t. Let g = 31 - t. Let v(u) = g*a(u) + 5*i(u). Factor v(w).
2*w**2*(w - 1)*(w + 2)
Let a(j) = -8*j**4 + 27*j**3 - 28*j**2 - 42*j + 21. Let n(p) = -p**4 - p**2 - p + 1. Let f(u) = -a(u) + 3*n(u). Determine c, given that f(c) = 0.
-1, 2/5, 3
Suppose 4*n + 7*n = 12*n. Let o(d) be the third derivative of -1/175*d**7 + 0*d + 0 + 1/75*d**6 + n*d**4 + 0*d**3 - 1/150*d**5 + 5*d**2. Factor o(f).
-2*f**2*(f - 1)*(3*f - 1)/5
Let y = 202 - 204. Let o be y/1 - (0 - 138/54). Factor o*a**2 - 2/9*a**3 + 4/9*a - 1/3.
-(a - 3)*(a + 1)*(2*a - 1)/9
Let f(n) be the third derivative of 0*n**4 + 1/175*n**7 + 0*n + 0 + 0*n**3 + 0*n**5 - 3*n**2 - 1/840*n**8 - 1/150*n**6. Factor f(w).
-2*w**3*(w - 2)*(w - 1)/5
Let m(j) be the first derivative of -3/10*j**5 + 1/3*j**3 + 0*j**2 - 5 + 5/8*j**4 + 0*j. Factor m(y).
-y**2*(y - 2)*(3*y + 1)/2
Suppose 0 = 2*r - i - 49 + 45, -3*i + 2 = r. Factor -2 - 1/2*h**3 - 5/2*h**r - 4*h.
-(h + 1)*(h + 2)**2/2
Suppose -6*p - 722*g = -724*g - 22, -4*g + 7 = 5*p. Factor -3/8*t**4 + 3/2*t - 3/4*t**p + 9/8*t**2 - 3/2.
-3*(t - 1)**2*(t + 2)**2/8
Let s(l) be the third derivative of 0*l + 0*l**3 + 0*l**4 + 4*l**2 + 1/630*l**7 + 0 + 0*l**5 + 0*l**6. Determine d so that s(d) = 0.
0
Let o(s) = s**3 + 5*s**2 + 2*s - 1. Let l be o(-4). Suppose -3 = f - l. Let 3*a - f - 3*a**2 + 4 = 0. What is a?
0, 1
Let q be 81/(-270)*(-6)/9. Let s(i) be the first derivative of 3/5*i**2 + q*i**3 - 6 + 3/5*i. Solve s(a) = 0.
-1
Let i(c) = 2*c + 4. Let g be i(-1). Factor 0*u**g - u**5 + u**4 - 3*u**3 + 2*u - u**2 + 2*u**5.
u*(u - 1)**2*(u + 1)*(u + 2)
Suppose -1 = -5*x - 11. Let s(o) = -8*o**3 + 6*o - 2. Let t(l) = l**2 + l. Let u(m) = x*s(m) - 4*t(m). Find r, given that u(r) = 0.
-1, 1/4, 1
Let f(w) be the first derivative of 2*w**3/21 + 9*w**2/7 - 47. Solve f(h) = 0 for h.
-9, 0
Factor 60*m**3 - 24175*m**2 + 14*m**4 + 4*m**5 + 24211*m**2 + 14*m**4.
4*m**2*(m + 1)*(m + 3)**2
Factor -16*d + 98/3*d**3 + 8/3 + 14*d**2.
2*(d + 1)*(7*d - 2)**2/3
Let t(w) be the third derivative of w**8/15120 - w**7/3780 + w**6/3240 + 23*w**3/6 + 9*w**2. Let b(u) be the first derivative of t(u). Factor b(h).
h**2*(h - 1)**2/9
Factor 63/4*q - 57/2 - 3/4*q**2.
-3*(q - 19)*(q - 2)/4
Let w(u) be the first derivative of -2*u**4 + 22*u**3/15 + 4*u**2/5 - 74. Factor w(g).
-2*g*(4*g + 1)*(5*g - 4)/5
Let z = 146999/78 + -1883. Let n = z + -7/26. Factor -n*r**2 + 4/3*r**4 - r + 0 + 2/3*r**3 + 1/3*r**5.
r*(r - 1)*(r + 1)**2*(r + 3)/3
Factor 38/5*q**2 - 39/5 - 8*q + 1/5*q**4 + 8*q**3.
(q - 1)*(q + 1)**2*(q + 39)/5
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