the second derivative of g(h). Factor i(a).
3*(a + 4)**3
Let w(c) = -9*c**4 + 8*c**3 + 33*c**2 + 8. Let a(o) = -28*o**4 + 25*o**3 + 99*o**2 + 22. Let s(k) = 6*a(k) - 17*w(k). Suppose s(i) = 0. What is i?
-1, -2/5, 1/3, 2
Let z(a) be the third derivative of -a**6/120 - a**4/24 + a**3/3 - 6*a**2. Let h be z(0). Let 3*i - 2 + 2 + i**h - i = 0. What is i?
-2, 0
Let k be (0/3)/(6 + -4). Suppose 0 = 3*f + f + 4*p - 20, k = -5*f + p + 25. Factor -4/15*y**3 + 0*y**4 + 2/15*y + 2/15*y**f + 0 + 0*y**2.
2*y*(y - 1)**2*(y + 1)**2/15
Let y(c) be the second derivative of c**5/25 - 2*c**4/15 - 14*c**3/15 - 8*c**2/5 - 47*c - 2. Let y(q) = 0. What is q?
-1, 4
Let x(z) = z**3 + z - 2. Suppose -5*m + 8 = -47. Let w(j) = -5*j**3 - 6*j + 11. Let h(a) = m*x(a) + 2*w(a). Factor h(l).
l*(l - 1)*(l + 1)
Factor -2/11 - 9/11*u**2 - u.
-(u + 1)*(9*u + 2)/11
Factor 0*y + 0 - 1/7*y**3 + 1/7*y**2.
-y**2*(y - 1)/7
Suppose -6*x = 5*x - 2*x. Let j(b) be the third derivative of 0*b**4 + x + 0*b + 0*b**3 - 5*b**2 + 1/210*b**5. Factor j(y).
2*y**2/7
Let q(j) = 11*j + 552. Let b be q(-50). Find f, given that 0 - 1/4*f**3 - f**b - 3/4*f = 0.
-3, -1, 0
Solve -1/5*c**2 - 6/5*c + 0 + 4/5*c**3 - 1/5*c**4 = 0.
-1, 0, 2, 3
Let u(k) be the second derivative of -5/28*k**4 + 0 + 4/7*k**3 + 6/7*k**2 - 15*k. Factor u(a).
-3*(a - 2)*(5*a + 2)/7
Let u(f) = f**3 + 4*f**2 + f - 3. Let t be u(-3). Suppose -v = -t*v. Suppose -4*z + 2*z**3 + v*z**2 - 2*z**2 + 3*z**2 - 3*z**2 = 0. What is z?
-1, 0, 2
Let s be (1712/2140)/(2/5). Factor -14/17*v**s + 2/17*v**3 + 16/17*v + 32/17.
2*(v - 4)**2*(v + 1)/17
Solve 0*m - 1/4*m**5 + m**3 - 1/4*m**4 + 0 + m**2 = 0.
-2, -1, 0, 2
Let b(a) be the second derivative of 19*a + 0 + 0*a**2 + 1/12*a**3 + 1/72*a**4. Solve b(v) = 0.
-3, 0
Suppose -a + 18 = -4*o, 0*o - 3 = o. Let l(i) be the second derivative of 1/30*i**4 - 1/150*i**a + 0*i**5 + 7*i - 1/10*i**2 + 0 + 0*i**3. Factor l(v).
-(v - 1)**2*(v + 1)**2/5
Factor 1/4*q**5 + 0*q - 5/4*q**3 + 3/4*q**2 + 1/4*q**4 + 0.
q**2*(q - 1)**2*(q + 3)/4
Let d(m) be the second derivative of 0 + 12*m - 9/2*m**2 - 5/2*m**3 + 3/20*m**5 - 1/4*m**4. Find s such that d(s) = 0.
-1, 3
Let w(u) = -38*u**2 + 28*u + 3. Let k(j) = 32*j**2 - 28*j - 2. Let a(l) = -3*k(l) - 2*w(l). What is x in a(x) = 0?
0, 7/5
Suppose 0 = 52*s - 268*s. Factor -3/4*g**3 + 0*g**2 - g**4 + 0 - 1/4*g**5 + s*g.
-g**3*(g + 1)*(g + 3)/4
Let z = 2035/4 - 505. Let t(p) be the first derivative of 12/5*p**5 + 0*p**2 + p**3 - 2 + 0*p + z*p**4. Factor t(g).
3*g**2*(g + 1)*(4*g + 1)
Let f(w) be the second derivative of -1/126*w**7 + 1/60*w**5 + 0*w**3 + 0 + 21*w + 1/90*w**6 - 1/36*w**4 + 0*w**2. Suppose f(v) = 0. What is v?
-1, 0, 1
Let l(h) be the second derivative of h**5/30 - 11*h**4/2 + 363*h**3 - 11979*h**2 - 133*h. Suppose l(f) = 0. What is f?
33
Suppose -4*d = 3*d - 0*d. Let u(y) be the third derivative of 0 - 1/20*y**5 - 1/4*y**4 + 0*y**3 - 2*y**2 + d*y. Suppose u(r) = 0. What is r?
-2, 0
Let z(c) be the first derivative of -5*c**3/3 - 7. Let z(s) = 0. Calculate s.
0
Factor 21 + d - 39 - d**3 - d**4 + 16 + 3*d**2.
-(d - 1)**2*(d + 1)*(d + 2)
Suppose -2/9*x**4 + 2*x**3 - 16/9*x - 8/3 + 26/9*x**2 - 2/9*x**5 = 0. Calculate x.
-2, -1, 1, 3
Factor 2/13*b**2 - 98/13*b + 188/13.
2*(b - 47)*(b - 2)/13
Let n(g) be the first derivative of 5*g**3/9 - 150*g**2 + 13500*g - 227. Factor n(x).
5*(x - 90)**2/3
Let z(y) be the third derivative of -5/112*y**8 + 0*y**5 + 1/4*y**6 + 3*y + y**2 + 0*y**3 + 0*y**4 - 1/6*y**7 + 0. Determine k so that z(k) = 0.
-3, 0, 2/3
Let d(k) be the second derivative of -5*k**4/12 - 10*k**3 + 2*k + 49. Factor d(t).
-5*t*(t + 12)
Let a(c) be the third derivative of c**7/70 - 7*c**6/72 + 41*c**5/180 - 13*c**4/72 - c**3/9 + c**2 + 20. Find g such that a(g) = 0.
-1/9, 1, 2
Let c be (8/2 - 4 - -1) + -15. Let n be (-4)/c + 2/(112/264). Factor -3*u**2 + 9/2*u + 0*u**4 + 3/2*u**n - 6*u**3 + 3.
3*(u - 2)*(u - 1)*(u + 1)**3/2
Let t(k) be the second derivative of k**6/600 - 3*k**5/200 - k**3/3 + 17*k. Let g(d) be the second derivative of t(d). Factor g(o).
3*o*(o - 3)/5
Let n(y) be the third derivative of -y**5/105 - 5*y**4/42 + 4*y**3/7 - 102*y**2. Factor n(z).
-4*(z - 1)*(z + 6)/7
Factor 0*o**4 - 3*o + 3*o + 6*o**3 + 3*o**4 + 0*o**4 + 3*o**2.
3*o**2*(o + 1)**2
Suppose -12 + 20 = z. Suppose 5*y = z*y + 2*n - 11, -y = -5*n + 2. Factor 2/11*j**y + 0 + 0*j + 2/11*j**2.
2*j**2*(j + 1)/11
Let w(o) be the second derivative of -3*o**5/20 + 19*o**4/4 - 35*o**3 + 80*o + 6. Let w(m) = 0. Calculate m.
0, 5, 14
Let r be (103731/53676 - 1/9) + (-4)/7. Factor r*y**2 + 5*y + 0.
5*y*(y + 4)/4
Determine h so that -3*h**2 + 2*h**2 - 3*h**2 + 30 + h**2 - 27*h + 0*h**2 = 0.
-10, 1
Suppose 4*r = 2*r - 10, 3*r = -3*g - 3. Let h(v) be the second derivative of -2*v + 0 - 4/7*v**2 - 4/21*v**3 - 1/42*v**g. Let h(w) = 0. What is w?
-2
Let a(l) be the first derivative of -2*l**6/3 - 64*l**5/15 - 14*l**4/3 + 32*l**3/3 + 6*l**2 + 94. Find q such that a(q) = 0.
-3, -1/3, 0, 1
Let m(n) = -181*n**3 - 2476*n**2 - 254*n + 250. Let l(d) = -2535*d**3 - 34665*d**2 - 3555*d + 3495. Let u(r) = 6*l(r) - 85*m(r). Factor u(a).
5*(a + 14)*(5*a + 2)*(7*a - 2)
Let q = 20295/4 + -5039. Let z = q - 34. Factor 5/4*l**2 - 1/4*l - 1/4 - z*l**3.
-(l - 1)**2*(3*l + 1)/4
Let g(x) be the third derivative of 250/3*x**3 + 0 + 0*x + 1/30*x**6 - 13*x**2 + x**5 + 25/2*x**4. Solve g(n) = 0.
-5
Let l be -2 + -2 + 0 + 6. Suppose l*h - 5*h - 372 = -5*z, 151 = 2*z + h. Factor -16 + 9 + 16 + 18 + z*d**2 + 90*d.
3*(5*d + 3)**2
Let s(v) be the second derivative of 13*v**4 - 160*v**3/3 + 8*v**2 - 7*v - 32. Factor s(o).
4*(o - 2)*(39*o - 2)
Let q(v) be the first derivative of -v**6/30 + v**4/5 + 2*v**3/15 - 3*v**2/10 - 2*v/5 + 12. Find i, given that q(i) = 0.
-1, 1, 2
Let l(u) be the third derivative of -11/120*u**6 - 1/336*u**8 + 0*u + 0 + 0*u**3 - 1/35*u**7 + 26*u**2 - 1/10*u**5 + 0*u**4. Let l(h) = 0. Calculate h.
-3, -2, -1, 0
Suppose 4 + 4 = -z + 4*n, 4*z - 4*n - 28 = 0. Let i be z/(-16) - 9/(-4). Factor i*m + 0 + 3*m**2 + 3/2*m**3.
3*m*(m + 1)**2/2
Let i(u) = -u**3 + u**2 - 22. Let f be i(0). Let k = -18 - f. Determine l, given that 10*l**3 - 15*l**k + 11*l**5 - 7*l**5 + l**5 = 0.
0, 1, 2
Let t(o) be the first derivative of -o**7/210 + 3*o**5/10 - 27*o**3/2 + 11*o**2 + 18. Let v(u) be the second derivative of t(u). Let v(s) = 0. What is s?
-3, 3
Solve 43*r - 78 - 4*r**2 - 236*r + 58*r + 56*r + 3*r**2 = 0 for r.
-78, -1
Let b(x) be the third derivative of -x**7/420 + 3*x**6/16 - 41*x**5/20 + 119*x**4/12 - 26*x**3 + 188*x**2. Factor b(m).
-(m - 39)*(m - 2)**3/2
What is v in 12*v + 0 + 22/3*v**2 + 2/3*v**3 = 0?
-9, -2, 0
Let c(n) be the first derivative of 3*n**5/5 - 3*n**4 - 3*n**3 + 27*n**2 - 136. Factor c(m).
3*m*(m - 3)**2*(m + 2)
Let q be 0 - 2/(-2)*2. Let h = -83 - -83. Solve 2*m**2 - 2 + q + h - 2*m**3 = 0 for m.
0, 1
Let i = 5 - 2. Suppose w - 3*z = 0, w + i*w = 5*z + 7. Factor -4*s**4 - 4*s**4 + 6*s**w - s**4.
-3*s**3*(3*s - 2)
Let d = 1465 + -2927/2. Factor 3/2*s**2 - 15/2*s + d*s**3 + 9/2.
3*(s - 1)**2*(s + 3)/2
Determine x, given that -6/5 - 2/5*x**4 + 8/5*x**2 + 4/5*x**3 - 4/5*x = 0.
-1, 1, 3
Let o(x) be the second derivative of -x**5/40 + 5*x**4/6 - 133*x**3/12 + 147*x**2/2 + 6*x + 28. Factor o(w).
-(w - 7)**2*(w - 6)/2
Factor 6*t**2 + 51/5*t + 24/5 + 3/5*t**3.
3*(t + 1)**2*(t + 8)/5
Let a be 72/(-288)*(-6)/(1 - 0). Let c(j) be the first derivative of 1/3*j**3 + 0*j + a*j**2 - 9. Factor c(s).
s*(s + 3)
Let l(k) = k**3 + 6*k**2 + 4*k - 7. Let z be l(-5). Let f be (-2 + -3 + 4 - z) + 1. Determine s so that 0 - 4*s**3 - f*s**2 + 5/2*s**4 + 0*s = 0.
-2/5, 0, 2
Let -4*w**3 + 28/5*w + 136/5*w**2 + 0 = 0. What is w?
-1/5, 0, 7
Let q(b) be the second derivative of 10*b + 2/15*b**6 + 0*b**2 + 0 - 8/3*b**3 + 0*b**4 + 3/5*b**5. Factor q(h).
4*h*(h - 1)*(h + 2)**2
Let y(i) = -7*i**2 + 12*i - 13. Let u(d) = -d**2 + 19*d - 5. Let h(q) = q**2 - 9*q + 3. Let w(x) = -7*h(x) - 3*u(x). Let m(g) = -5*w(g) + 3*y(g). Factor m(p).
-(p - 3)**2
Suppose 4*o - 4*b - 4 = -2*b, 0 = -o + 3*b - 9. Let i be (o + 6)*-2*(-1)/7. Find u such that -i*u**2 - 2/7 + 8/7*u**3 + 12/7*u = 0.
1/4, 1
Let o = 1925 - 5773/3. Factor -1/3*h**3 - o*h**2 + 0 - 1/3*h.
-h*(h + 1)**2/3
Let q(c) be the second derivative of -c**8/3780 - c**7/378 - c**6/270 + c**5/30