*3.
2*o*(o - 1)**2*(o + 1)/9
Let c(t) be the second derivative of t - 1/30*t**6 + 1/4*t**5 + 0 - 3/2*t**3 + 0*t**2 - 1/4*t**4. Solve c(n) = 0.
-1, 0, 3
Suppose o + 1 = 4*b + 9, 2*b = 4*o - 18. Let -9*i**4 - 12*i**2 - 12*i**3 + i**4 - 4*i + 4*i**o = 0. Calculate i.
-1, 0
Let v = -4 + 7. Suppose 3*u = -3*x, 0*u + 20 = 2*x - v*u. Solve 0*b**4 + 2*b**3 - 7*b**2 + 8*b**2 + b**x = 0 for b.
-1, 0
Let b(c) be the second derivative of -1/42*c**4 - 2/7*c**2 + 16*c + 1/7*c**3 + 0. Suppose b(y) = 0. Calculate y.
1, 2
Let b(u) be the second derivative of u**6/345 + 4*u**5/115 + 7*u**4/138 - 18*u. Solve b(p) = 0.
-7, -1, 0
Let x(r) be the first derivative of -r**4/12 - r**3/3 - r**2/2 + 8*r - 11. Let p(a) be the first derivative of x(a). Factor p(n).
-(n + 1)**2
Let d(u) be the first derivative of u**6/18 + 22*u**5/45 + 37*u**4/36 + 10*u**3/27 + 44. Let d(h) = 0. Calculate h.
-5, -2, -1/3, 0
Let u(c) be the first derivative of 25 - 3/10*c**5 - 13/2*c**3 - 9/4*c**4 - 6*c - 9*c**2. Factor u(y).
-3*(y + 1)**2*(y + 2)**2/2
Let -84*f - 42*f**2 - 31*f**2 - 20 - 3*f**2 - 12*f**3 = 0. Calculate f.
-5, -1, -1/3
Let d(s) = -3*s**4 - 7*s**3 - 11*s**2 - 5*s. Let n(x) = x**4. Let g(m) = d(m) + 2*n(m). Suppose g(w) = 0. What is w?
-5, -1, 0
Let u(p) = -p - 2. Let a(o) = -o**2 - 4*o - 4. Suppose -2*i - 18 = -3*v, -v - 8 + 3 = 3*i. Let g(z) = v*u(z) + 4*a(z). Factor g(y).
-4*(y + 2)*(y + 3)
Let f(c) be the third derivative of c**10/226800 + c**9/56700 - c**7/9450 - c**6/5400 - c**4/6 + 8*c**2. Let n(h) be the second derivative of f(h). Factor n(p).
2*p*(p - 1)*(p + 1)**3/15
Let a(v) be the third derivative of 1/180*v**4 + 1/900*v**6 + 0*v - 1/1260*v**8 + 0 - 7/450*v**5 + 1/315*v**7 + 2/45*v**3 + 13*v**2. Find w such that a(w) = 0.
-1, -1/2, 1, 2
Let r(z) be the second derivative of 0 - 1/30*z**4 - 13*z + 0*z**2 + 1/100*z**5 + 1/30*z**3. Factor r(p).
p*(p - 1)**2/5
Suppose -67*l - 18*l + 340 = 0. Let d(m) be the third derivative of 0*m + 2/525*m**7 - 1/150*m**6 + 0*m**l + 3*m**2 + 0*m**3 + 0*m**5 + 0. Solve d(y) = 0.
0, 1
Let l = 12 - 0. Suppose -5*w - l*c + 17*c + 20 = 0, 4*c = -8. Let 2/3*g**w - 4/3*g + 0 = 0. What is g?
0, 2
Factor -5/4*m - 5/4*m**2 + 0.
-5*m*(m + 1)/4
Suppose 24*r - 19*r = -270. Let f = -323/6 - r. Factor -f + 1/6*p**2 + 0*p.
(p - 1)*(p + 1)/6
Let d(s) be the third derivative of 26/165*s**5 + 41/330*s**6 + 0*s + 0*s**3 + 3/616*s**8 + 0 + 47/1155*s**7 - 6*s**2 + 2/33*s**4. Suppose d(h) = 0. What is h?
-2, -1, -2/9, 0
Factor -12*b - 99/8*b**2 + 0 - 3/8*b**3.
-3*b*(b + 1)*(b + 32)/8
Let y(n) = -25*n**3 - 565*n**2 - 18435*n - 214355. Let x(k) = -k**3 - 2*k**2 - 3*k + 1. Let o(a) = 20*x(a) - y(a). Solve o(g) = 0.
-35
Let s(p) be the first derivative of 1/7*p**3 + 23 + 3/28*p**4 + 0*p + 0*p**2. Determine o so that s(o) = 0.
-1, 0
Let t(i) be the third derivative of 0 + 0*i**3 + 0*i - 1/510*i**5 + 0*i**4 + 1/1785*i**7 + 9*i**2 + 0*i**6. Factor t(m).
2*m**2*(m - 1)*(m + 1)/17
Let k(z) = 2*z**2 - 45*z + 177. Let a be k(5). Solve 0 + a*o + 5/3*o**3 + 17/3*o**2 = 0 for o.
-3, -2/5, 0
Let x(h) = 2*h**2 - 79*h - 12. Let u be x(40). Let p be 144/u + -2 + (1 - 4). Factor 0*s**2 + 0*s**4 + 2/7*s**3 - 1/7*s - p*s**5 + 0.
-s*(s - 1)**2*(s + 1)**2/7
Suppose 0 = 4*f + 2*g - 104 + 100, 2*g - 4 = 4*f. Find x such that 2/9*x**2 + f + 0*x = 0.
0
Let z(x) be the third derivative of -x**6/40 + x**5/60 + x**4/8 - x**3/6 + 2*x**2 - 15. Factor z(w).
-(w - 1)*(w + 1)*(3*w - 1)
Let w(d) = 43*d**2 + 1608*d - 362. Let j(k) = -945*k**2 - 35375*k + 7965. Let h(r) = -2*j(r) - 45*w(r). Let h(v) = 0. Calculate v.
-36, 2/9
Let k(c) = 41*c**3 - 35*c**2 - 206*c - 214. Let v(x) = -375*x**3 + 315*x**2 + 1855*x + 1925. Let l(s) = 55*k(s) + 6*v(s). What is u in l(u) = 0?
-2, 11
Let v be -6 + (22/11 - -9). Let z(s) be the third derivative of 0*s**3 + 0*s**4 + 1/660*s**6 - 11*s**2 + 0 + 0*s + 1/165*s**v. Factor z(j).
2*j**2*(j + 2)/11
Factor 4/7*k**2 + 0 - 244/7*k.
4*k*(k - 61)/7
Let q(t) be the third derivative of 0*t**7 - 1/6*t**3 + 1/60*t**6 - 1/672*t**8 + 1/60*t**5 + 25*t**2 + 0 + 0*t - 1/16*t**4. Factor q(k).
-(k - 2)*(k - 1)*(k + 1)**3/2
Let c(k) = -k**3 + 18*k**2 + 15*k + 11. Let m be c(19). Let x be (-416)/m - (-1 + 7). Factor -2/5*s**2 + 0*s + x.
-2*(s - 1)*(s + 1)/5
Let z(a) be the third derivative of -a**8/1512 - 2*a**7/315 - 7*a**6/270 - 8*a**5/135 - a**4/12 - 2*a**3/27 + 41*a**2. Determine h so that z(h) = 0.
-2, -1
Let j(k) = -6*k - 3. Let p be j(-6). Let q be (-7)/(-1) - 165/p. Factor 2/5*x**3 + 2/5*x + 4/5*x**q + 0.
2*x*(x + 1)**2/5
Let z = 38 + -35. Factor -11*g + z*g**3 - 13*g + 15*g + 6.
3*(g - 1)**2*(g + 2)
Let d(z) be the second derivative of -z**5/30 + z**4/9 + 8*z**3/9 - 62*z. Factor d(j).
-2*j*(j - 4)*(j + 2)/3
Let y(o) be the second derivative of -o**5/180 + o**3/18 + o**2/2 + 3*o. Let h(c) be the first derivative of y(c). Determine x so that h(x) = 0.
-1, 1
Let z = -190 - -194. Let d(m) be the first derivative of 0*m**3 - 1/7*m**2 + z + 0*m + 1/14*m**4. Factor d(a).
2*a*(a - 1)*(a + 1)/7
Let z(r) be the first derivative of 1/16*r**4 + 1/72*r**6 - 1/20*r**5 + 0*r**2 + 0*r - 1/36*r**3 + 21. Find g, given that z(g) = 0.
0, 1
Let f = 10953 - 10953. What is v in f + 4/3*v**2 + 0*v - 2/3*v**5 + 0*v**4 + 2*v**3 = 0?
-1, 0, 2
Find g such that 21/2*g**2 - 15*g + 0 - 3/2*g**3 = 0.
0, 2, 5
Let b(u) = 9*u**2 + 12*u + 6. Suppose -l = -2*q + 14, -19 + 3 = -l - 4*q. Let g = -5 - l. Let i(v) = -v**2 - v - 1. Let z(s) = g*b(s) - 6*i(s). Factor z(r).
-3*r*(r + 2)
Let t(z) be the second derivative of 8/33*z**4 - 9*z + 40/33*z**3 + 25/11*z**2 + 0. Suppose t(m) = 0. What is m?
-5/4
Factor 0*y**4 + 0*y + 0 + y**3 - 1/3*y**5 + 2/3*y**2.
-y**2*(y - 2)*(y + 1)**2/3
Let p(b) be the first derivative of 1/9*b**3 + 3 + 0*b**2 - 1/3*b. Determine u so that p(u) = 0.
-1, 1
Let y(m) be the third derivative of -m**8/2520 - m**7/1575 + 11*m**6/900 - 7*m**5/450 - m**4/18 + 8*m**3/45 + 181*m**2. Suppose y(h) = 0. Calculate h.
-4, -1, 1, 2
Let l(o) = o**5 - 5*o**4 + 4*o**3 - o**2 + o - 1. Suppose -16 = -14*w + 10*w. Let q(b) = b**4 + b**2 - b + 1. Let x(f) = w*l(f) + 4*q(f). Factor x(u).
4*u**3*(u - 2)**2
Let l(t) = 47*t - 166. Let d be l(10). Let c = d - 2124/7. Factor c*w**4 + 0 - 8/7*w**3 + 4/7*w**2 + 0*w.
4*w**2*(w - 1)**2/7
Let f be (-48)/(-16) + (55/(-4) - 0). Let t = 45/4 + f. Let 0*q + 0*q**2 - t*q**4 + 1/4*q**5 + 0 + 1/4*q**3 = 0. Calculate q.
0, 1
Suppose -5*s - 2*x + 15 - 4 = 0, 4*s + 4*x - 16 = 0. Factor 2*v**3 - 5 + 0 - 6*v + s.
2*(v - 2)*(v + 1)**2
Let k(q) = 5*q**3 - 60*q**2 + 77*q - 29. Let y(t) = 2*t**3 - 20*t**2 + 26*t - 10. Let i(v) = -2*k(v) + 7*y(v). Factor i(f).
4*(f - 3)*(f - 1)**2
Let m(f) be the third derivative of 5*f**2 + 0*f**4 + 1/90*f**5 + 0 + 0*f - 1/9*f**3. Factor m(o).
2*(o - 1)*(o + 1)/3
Factor 1936/7 + 1/7*l**2 - 88/7*l.
(l - 44)**2/7
Factor -16*s + 9 - s**3 + 2*s**2 + 9*s**2 + 29*s - 32*s.
-(s - 9)*(s - 1)**2
Let c(d) be the second derivative of 0*d**6 + 0 + 1/5*d**5 - 1/6*d**4 - 3*d - 1/42*d**7 - 1/2*d**3 + d**2. Let c(g) = 0. Calculate g.
-2, -1, 1
Let f(z) = 7*z - 26. Let v be f(4). Let a = -7/10 - -3/2. Suppose -a - 14/5*l + 8/5*l**v = 0. What is l?
-1/4, 2
Let q(y) be the second derivative of y**7/147 - y**6/105 - 3*y**5/14 - 23*y**4/42 - 10*y**3/21 - 7*y - 3. Solve q(v) = 0.
-2, -1, 0, 5
Factor 2*a**2 + 7*a**2 - a**4 + 9 - 23*a + 6*a**2 + 0*a**4 + 1 - a**3.
-(a - 2)*(a - 1)**2*(a + 5)
Let b = 26 - 10. Solve 3*t**2 + 3*t**5 + 9*t**4 + 0*t**5 + 0*t**2 + b*t**3 - 7*t**3 = 0.
-1, 0
Suppose 1 = -i - 38. Let w be i/(-33) + 3/(-3). Factor w*s**2 + 0 - 2/11*s.
2*s*(s - 1)/11
Factor -100/3*o - 40/3*o**2 - 4/3*o**3 + 0.
-4*o*(o + 5)**2/3
Let p(x) be the second derivative of -x**5/150 - x**4/10 - 4*x**2 + 18*x. Let w(g) be the first derivative of p(g). Factor w(f).
-2*f*(f + 6)/5
Let k(s) be the second derivative of s**4/6 - 3*s**3 + 14*s**2 + 3*s + 6. Determine d so that k(d) = 0.
2, 7
Let q(d) = 106*d**2 - 2*d + 2. Let l be q(1). Solve 110 + l + j**2 - 216 + 3*j = 0 for j.
-3, 0
Factor 56/5*m - 47/5*m**2 + 4 + 7/5*m**3.
(m - 5)*(m - 2)*(7*m + 2)/5
Let j(a) be the first derivative of 7*a**5/10 + 5*a**4/3 - 25*a**3/18 - 10*a**2/3 + 2*a/3 - 214. Find h such that j(h) = 0.
-2, -1, 2/21, 1
Let p(h) = -3*h**2 - 1. Let b be p(2). Let g = 13 + b. Factor 0*u**2 + g*u + 0 + 4/7*u**4 