he first derivative of 0*j**2 - 1/3*j**4 + 3*j + 5 + 1/6*j**3. Let h(r) be the first derivative of y(r). Factor h(b).
-b*(4*b - 1)
Let m be (2/(-4))/(1/(-4)). Let n be 16/(-432)*9 - 93/(-63). Solve -n + 10*d**m - 42*d**3 + 32/7*d = 0 for d.
-1/3, 2/7
Let f be (2 - -1) + (19 - 21). Let a(g) = g**2 + g. Let h(i) = 3*i**5 - 3*i**4 - 3*i**3 + 6*i**2 + 3*i. Let o(w) = f*h(w) - 3*a(w). Factor o(q).
3*q**2*(q - 1)**2*(q + 1)
Let p(r) be the second derivative of 1/144*r**4 + 1/12*r**3 + 5/24*r**2 + 0 - 12*r. Suppose p(b) = 0. Calculate b.
-5, -1
Let i(c) = -20*c**5 + 17*c**4 + 3*c**3 + 17. Let m(x) = 29 - 6*x**4 + 7*x**5 + x**3 - 2*x**3 - 35. Let v(h) = -6*i(h) - 17*m(h). Suppose v(w) = 0. Calculate w.
-1, 0, 1
Let c = -53/95 + 3/19. Let i = -1/5 - c. Factor 0*j**3 + 1/5*j - i*j**5 + 2/5*j**2 - 2/5*j**4 + 0.
-j*(j - 1)*(j + 1)**3/5
Let 11*s**4 - 40 - 10*s**3 + 20*s**3 + 45*s**2 - 16*s**4 - 10*s = 0. What is s?
-2, -1, 1, 4
Let c = -28 - -643/23. Let t = 97/115 + c. Factor 8/5*u + 3/5*u**2 - t - 9/5*u**3.
-(u + 1)*(3*u - 2)**2/5
Let d(t) = 6*t + 45. Let g be d(-7). Let 2*o + g + 3*o**2 + 0 + 2 - 6 = 0. Calculate o.
-1, 1/3
Let z(y) be the first derivative of 1/16*y**2 + 0*y + 5/24*y**3 + 26 + 3/40*y**5 + 7/32*y**4. Factor z(k).
k*(k + 1)**2*(3*k + 1)/8
Let n(o) = 5*o - 2*o + o**2 + 9 - 12. Let g(y) = 1 - 3 - 4*y**2 + 6*y**2 + 2*y. Let v(f) = 3*g(f) - 2*n(f). Factor v(a).
4*a**2
Factor 16*l - 5*l**2 + 17*l - 5*l**3 + 16*l - 49*l.
-5*l**2*(l + 1)
Let q(b) be the first derivative of -b**2 + 2*b - 2/3*b**3 + 6 + 1/2*b**4. Factor q(o).
2*(o - 1)**2*(o + 1)
Let j(l) be the second derivative of 9*l**5/170 + 73*l**4/51 + 608*l**3/51 + 128*l**2/17 + 52*l. Factor j(p).
2*(p + 8)**2*(9*p + 2)/17
Let b be ((-2)/4 - -1) + 40/16. Solve 6*l + 6 + l + 5*l**b - 6*l**3 = 0.
-2, -1, 3
Let k(v) be the third derivative of 23/80*v**6 - 9*v**3 + 12*v + 0 + 2*v**2 + 1/224*v**8 - 11/140*v**7 - 3/2*v**4 + 47/40*v**5. Suppose k(h) = 0. What is h?
-1, 1, 6
Factor 464/3*t + 2/3*t**2 + 26912/3.
2*(t + 116)**2/3
Let a(z) be the first derivative of -z**5/15 + 2*z**4/3 + 7*z**3/3 - 4*z**2/3 - 20*z/3 - 292. Find i, given that a(i) = 0.
-2, -1, 1, 10
Factor 2/11*p**2 + 8*p + 86/11.
2*(p + 1)*(p + 43)/11
Suppose 3 = 2*r + 3*s - 3, -5*r - 6 = -3*s. Factor o**3 + 2/3*o**5 - 3/2*o**4 + r - 1/6*o**2 + 0*o.
o**2*(o - 1)**2*(4*o - 1)/6
Let h be (-2)/(-5) + (-49323)/(-1230). Factor -81/2*c**3 + 2*c + h*c**2 - 2.
-(c - 1)*(9*c - 2)*(9*c + 2)/2
Let i = -2 - -5. Determine u so that -5*u**2 - 9*u**5 - 6*u**3 + 8*u**2 + 15*u**i + 2*u**4 - 5*u**4 = 0.
-1, -1/3, 0, 1
Let y(a) be the first derivative of -a**6/120 + a**5/30 + a**4/24 - a**3/3 + 9*a**2/2 - 20. Let k(h) be the second derivative of y(h). Factor k(u).
-(u - 2)*(u - 1)*(u + 1)
Let s = 191 + -191. Let o(u) be the second derivative of -4*u + 1/42*u**4 + s + 1/35*u**5 + 0*u**3 + 0*u**2 + 1/105*u**6. Find c, given that o(c) = 0.
-1, 0
Let q = -6496 + 6496. What is p in 0*p + q + 1/6*p**2 + 1/6*p**3 = 0?
-1, 0
Let h(w) be the first derivative of w**6/480 - 3*w**5/80 + w**4/4 - 2*w**3/3 - 8*w**2 + 19. Let i(c) be the second derivative of h(c). Let i(z) = 0. What is z?
1, 4
Let u(t) = -5*t**3 + 2*t**2 - 17*t - 12. Let l(n) = -n**3 + n**2 - 2*n - 2. Let i(g) = 6*l(g) - u(g). Find v such that i(v) = 0.
-1, 0, 5
Let i(b) be the second derivative of -56/3*b**3 + 73/6*b**4 - 43/10*b**5 + 23*b + 16*b**2 + 0 + 11/15*b**6 - 1/21*b**7. Factor i(c).
-2*(c - 4)**2*(c - 1)**3
Suppose 0 = -4*j - 2*w + 16, 6*w + 4 = j + w. Let q(f) = -19*f**2 + 51*f - 50. Let r(h) = 9*h**2 - 26*h + 25. Let n(a) = j*q(a) + 9*r(a). Factor n(o).
5*(o - 5)*(o - 1)
Let d = -14209 + 127883/9. Let 0*p + 0*p**2 + 0 - 2/9*p**4 + d*p**3 = 0. What is p?
0, 1
Let w(d) be the first derivative of 8/3*d**3 - 3*d**2 - 2*d - 12. Factor w(n).
2*(n - 1)*(4*n + 1)
Let z = 10 + -1. Suppose 0*l - 3*l = -z. Let 2*w**3 + 2*w - 2*w**2 + l*w**2 - 5*w**2 = 0. Calculate w.
0, 1
Let t = -4483/13 - -345. Factor -2/13 + 2/13*v - 2/13*v**3 + t*v**2.
-2*(v - 1)**2*(v + 1)/13
Let w(m) = -5*m**2 + 389*m + 1 - 388*m + 4*m**2. Let b(y) = -12*y**2 + 5*y + 3. Let r(o) = -4*b(o) + 44*w(o). Suppose r(s) = 0. Calculate s.
-4, -2
Let m(q) be the first derivative of -q**4/4 - 31*q**3/3 - 18*q**2 + 84*q + 13. Let c(i) = i**3 + i**2 + i + 1. Let z(j) = -4*c(j) + m(j). Factor z(h).
-5*(h - 1)*(h + 4)**2
Let z(w) be the second derivative of 0 + 0*w**3 - 1/84*w**4 + 22*w + 1/14*w**2. Factor z(c).
-(c - 1)*(c + 1)/7
Let r(g) be the first derivative of -3*g**5/20 - 103*g**4/16 + 35*g**3/6 - 142. Determine a so that r(a) = 0.
-35, 0, 2/3
Let y(v) be the second derivative of v**5/50 + 11*v**4/30 + 23*v**3/15 - 7*v**2 - 291*v. Factor y(c).
2*(c - 1)*(c + 5)*(c + 7)/5
Let s(x) be the first derivative of x**7/840 - x**6/90 + x**5/24 - x**4/12 - 7*x**3/3 + 22. Let q(j) be the third derivative of s(j). Factor q(m).
(m - 2)*(m - 1)**2
Let d be -1*2/8*-8. Let x(o) be the third derivative of 0*o - 2/3*o**3 - 1/240*o**5 - 1/12*o**4 + 0 - 9*o**d. Find m, given that x(m) = 0.
-4
Let p(o) = 2*o + 6. Let v be p(-3). Suppose l + 8 = 3*l + 2*m, -l - 3*m + 6 = v. Let 4*u**2 - 6*u**3 - 4 + 4*u**l + 9*u**3 - 14*u + 7*u**3 = 0. Calculate u.
-1, -2/7, 1
Let -232/9 - 26*x - 2/9*x**2 = 0. Calculate x.
-116, -1
Let p be 5 + (-245)/(-325) + 10/(-65) - -4. Factor p*n**3 - 36/5*n**4 - 4/5 - 16/5*n + 8/5*n**2.
-4*(n - 1)**2*(3*n + 1)**2/5
Let k(w) be the second derivative of w**6/240 + w**5/30 - 11*w**4/48 + w**3/2 - 3*w**2/2 - 12*w. Let i(x) be the first derivative of k(x). Factor i(v).
(v - 1)**2*(v + 6)/2
Factor -5/4*x**2 + 5/4*x + 25.
-5*(x - 5)*(x + 4)/4
Let h = 170 - 254. Let r = 421/5 + h. Factor 0 + 0*y + 0*y**3 - 1/5*y**2 + r*y**4.
y**2*(y - 1)*(y + 1)/5
Suppose -k - 3*m = 12, -k - 2*m = 3*k + 78. Let g be 6/k - 335/(-70). Let 3/2*v**3 + 9/2*v - 3/2 - g*v**2 = 0. Calculate v.
1
Let u(g) be the second derivative of 1/4*g**4 + 30*g + 0*g**2 + 0 + g**3. Factor u(i).
3*i*(i + 2)
Let q = 4301/5 + -17189/20. Let -3/2*r + 33/4*r**3 + 0 + 9/4*r**5 - q*r**2 - 33/4*r**4 = 0. What is r?
-1/3, 0, 1, 2
Find d, given that 11/2*d**2 + 0 - 5/2*d + 1/2*d**4 - 7/2*d**3 = 0.
0, 1, 5
Let z(f) = -f**2 - f - 4. Let h(b) = -18*b**2 - 153*b + 81. Let i(m) = -h(m) + 15*z(m). Determine d, given that i(d) = 0.
-47, 1
Factor -80*w + 26 + 129/2*w**2 - 9/2*w**3.
-(w - 13)*(3*w - 2)**2/2
Let i be (10/4)/(1/(-2)). Let k = i - -8. What is f in 3 - 9*f**k + 5*f + 4*f**4 + 4*f - 15*f**2 + 8*f**4 = 0?
-1, -1/4, 1
Determine g so that -10/3*g**2 - 2/3*g**4 - 4*g**3 + 0 + 0*g = 0.
-5, -1, 0
Let p be (-50)/325 + (-17922)/(-10868). Let s = p - -1/209. Determine l so that 0*l + 3/2*l**5 + 0 - 3/2*l**4 + 3/2*l**2 - s*l**3 = 0.
-1, 0, 1
Suppose 2*f - 2 = 0, 3*f + 4 = -4*d + 3. Let g be ((-537)/(-135) - -2) + d/5. Let -g*z**4 + 2/9*z - 32/9*z**2 - 14/9*z**5 - 68/9*z**3 + 4/9 = 0. Calculate z.
-1, 2/7
Let c(o) be the first derivative of 1/5*o**3 + 1/20*o**4 + 44 + 28/5*o - 12/5*o**2. Factor c(t).
(t - 2)**2*(t + 7)/5
Let q be (-14)/(-35) + (-80)/450. Let i(w) be the second derivative of -1/15*w**5 - 2/9*w**3 + 0 + 2*w + 0*w**2 + q*w**4. Let i(z) = 0. Calculate z.
0, 1
Let j = 55/4214 + -298867/21070. Let h = -68/5 - j. Factor 4/7*y**3 + 2/7*y**2 - 2/7 - h*y.
2*(y - 1)*(y + 1)*(2*y + 1)/7
Let t(k) be the second derivative of 0*k**6 + 0 + 0*k**4 + 0*k**2 + 1/21*k**7 - 6*k - 1/5*k**5 + 1/3*k**3. Factor t(r).
2*r*(r - 1)**2*(r + 1)**2
Let o(c) be the third derivative of 0*c**4 + 1/180*c**5 + 1/720*c**6 + 0*c**3 + 0 - 2*c**2 + 0*c. Factor o(y).
y**2*(y + 2)/6
Let l(s) = 15*s**2 + 5*s - 10. Let w(j) = -j**2 - j. Let x(d) = -l(d) - 10*w(d). Solve x(v) = 0 for v.
-1, 2
Let n(a) be the first derivative of -4*a**5/5 - 2*a**4 - 4*a**3/3 - 251. Factor n(d).
-4*d**2*(d + 1)**2
Let w(d) = 7*d**3 - 12*d**2 - 3*d - 4. Let m(q) be the second derivative of -q**3/6 - q**2/2 - 10*q. Let b(t) = 6*m(t) - w(t). Factor b(x).
-(x - 1)**2*(7*x + 2)
Suppose 0 = -5*o + 5*f - 12 + 2, 5*o + 5*f + 10 = 0. Let t(r) = r**2 - 11*r + 7. Let i(q) = 10*q - 8. Let u(j) = o*t(j) - 3*i(j). Let u(n) = 0. Calculate n.
-5, 1
Let v(f) be the third derivative of -f**6/60 + 3*f**5/5 - 23*f**4/4 + 52*f**3/3 - 301*f**2. Factor v(a).
-2*(a - 13)*(a - 4)*(a - 1)
Let b(z) = 9*z**2 + 17*z - 21. Let c(s) = -15*s**2 - s**2 + 2*s**2 - 26*s + 