e the second derivative of -f**7/28 - 7*f**6/20 - 57*f**5/40 - 25*f**4/8 - 4*f**3 - 3*f**2 + 4*f + 15. Factor n(h).
-3*(h + 1)**3*(h + 2)**2/2
Let r(z) be the second derivative of z**4/84 - 5*z**3/14 - 8*z**2/7 - 44*z. Determine i, given that r(i) = 0.
-1, 16
Let g be 4 + (0/(-2))/(-3). Suppose j = -g*j - 5*l + 15, 2*j - 4*l = 0. Solve n**5 + 4/3 - 8/3*n - n**j + 17/3*n**3 - 13/3*n**4 = 0.
-2/3, 1, 2
Let n be (366/21 + 17/(-1))*14/3. Factor 1/4*a**3 - 5/4*a**n + 7/4*a - 3/4.
(a - 3)*(a - 1)**2/4
Let l(z) = -11*z**2 + 133*z - 137. Let p(k) = -5*k**2 + 67*k - 68. Let d(x) = 2*l(x) - 5*p(x). Solve d(t) = 0 for t.
1, 22
Let b(o) be the first derivative of 5*o**4/4 - 30*o**3 + 240*o**2 - 640*o + 270. Solve b(s) = 0.
2, 8
Solve -14/3*d + 32/9*d**2 - 2/9*d**5 - 4 + 44/9*d**3 + 4/9*d**4 = 0.
-3, -1, 1, 6
Let m be (2 + -1)*(157 - 2). Solve 5*b**2 + 35*b + m - 75 + 15*b = 0 for b.
-8, -2
Let u be (-1)/(-7) + (-11)/((-154)/68). Suppose -2*o + 3*d + 9 = -2, -d = -u*o + 21. Solve 0 - 8/3*y**2 + 8/9*y - 4/3*y**o + 2/9*y**5 + 26/9*y**3 = 0 for y.
0, 1, 2
Factor 99/7*s**3 + 321/7*s + 3/7*s**4 - 45*s**2 - 108/7.
3*(s - 1)**3*(s + 36)/7
Let b be 0/(-3 - (-6 + 2)). Factor 4*g**3 + 3*g**4 + 3*g**4 + 8 - 8*g**2 + b*g**3 - 10*g**2.
2*(g - 1)**2*(g + 2)*(3*g + 2)
Let j be 119/(-1) - (-4 + 4 - 1). Let f = -822/7 - j. Solve -f*y**2 + 4/7*y**3 + 0 + 4/7*y**4 - 4/7*y = 0.
-1, 0, 1
Let x(j) be the first derivative of j**3/5 - 99*j**2/10 + 385. Factor x(g).
3*g*(g - 33)/5
Suppose 5*u + 4*h - 170 = 0, u - 2 = 4*h + 32. Factor 15*r**3 - 96*r - 16 + 18 + 9*r**2 + u.
3*(r - 2)*(r + 3)*(5*r - 2)
Let y(l) be the second derivative of l**6/5 + 447*l**5/20 + 703*l**4 + 1369*l**3/2 + 239*l. Factor y(q).
3*q*(q + 37)**2*(2*q + 1)
Let r(o) be the first derivative of o**4/12 - o**3/9 - o**2/6 + o/3 + 85. Find f such that r(f) = 0.
-1, 1
Suppose 0 = 2*j + 102 - 110. Let w(b) be the second derivative of 0 + 1/6*b**j + 2*b**2 + b**3 - 6*b. Determine n, given that w(n) = 0.
-2, -1
Let f(x) be the third derivative of -x**7/840 + 7*x**6/480 - x**5/30 - x**4/6 - 44*x**2 - 2. What is l in f(l) = 0?
-1, 0, 4
Let o(d) be the first derivative of -21*d**4/4 + 19*d**3/3 + d**2 + 9. Let o(y) = 0. What is y?
-2/21, 0, 1
Let y = -210 + 209. Let d(n) = 4*n**2 + 1. Let k be d(y). Determine i so that 2/13*i**2 + 2/13*i**k - 2/13*i**4 + 4/13*i + 0 - 6/13*i**3 = 0.
-1, 0, 1, 2
Let i(o) be the second derivative of -o**7/189 - o**6/135 + 2*o**5/15 - 2*o**4/27 - 16*o**3/27 + 28*o - 6. Let i(t) = 0. Calculate t.
-4, -1, 0, 2
Solve -4 + 16/5*u + 4/5*u**2 = 0.
-5, 1
Solve 1/3*o**2 + 784/3 - 56/3*o = 0.
28
Let m(o) be the third derivative of o**10/7560 - o**8/560 + o**7/315 - 7*o**4/24 + 13*o**2. Let x(g) be the second derivative of m(g). Factor x(n).
4*n**2*(n - 1)**2*(n + 2)
Let g(n) be the first derivative of -1/10*n**5 + 3 + 3/16*n**4 - 1/24*n**6 + 1/3*n**3 - 1/2*n**2 + 0*n. Factor g(k).
-k*(k - 1)**2*(k + 2)**2/4
Let -2697*b**2 + 16 + 4*b + 4*b + 2698*b**2 = 0. Calculate b.
-4
Solve -26*y**2 + 9*y**3 + 26*y + 3*y**4 - 17*y + 2*y**2 + 3*y**4 = 0 for y.
-3, 0, 1/2, 1
Let a = 3 + -11. Let n = -3 - a. Let t(p) = 4*p**2 + 11*p + 11. Let k(u) = -4*u**2 - 12*u - 12. Let l(q) = n*k(q) + 4*t(q). Solve l(m) = 0.
-2
Let g(o) be the first derivative of 5*o**4/4 - 15*o**3 + 45*o**2 - 81. Solve g(p) = 0 for p.
0, 3, 6
What is x in 153 - 4*x**2 + 23*x + 29*x - 243 + 146 = 0?
-1, 14
Suppose 60*g + 6 + 19*g**3 - 22*g**3 - 21 - 6*g**2 - 57 = 0. What is g?
-6, 2
Factor -18/5*c**2 - 2/5*c**3 + 0 - 8*c.
-2*c*(c + 4)*(c + 5)/5
What is d in 7*d**3 - 80 - 85*d + 2*d**3 + 30 + 35*d**2 + d**3 = 0?
-5, -1/2, 2
Let j(g) = g**3 - 11*g**2 - 13*g + 9. Let h be j(12). Let b(y) = -7*y**2 - 3*y + 19. Let r(u) = 76*u**2 + 32*u - 208. Let x(o) = h*r(o) - 32*b(o). Factor x(a).
-4*(a - 2)*(a + 2)
Let p(n) be the third derivative of n**6/24 + 19*n**5/6 - 65*n**4/8 + 2*n**2 + 10. Factor p(f).
5*f*(f - 1)*(f + 39)
Suppose 9*p = -0*p + 63. Factor -3*b + 95 - 5*b**3 + b**3 - 91 - 4*b**2 + p*b.
-4*(b - 1)*(b + 1)**2
Let m be -2*((-2)/18 - 825/4725). Factor m*j + 0 + 2/7*j**2.
2*j*(j + 2)/7
Let g(i) = 7*i**3 - 4*i**2 - 10*i - 3. Suppose 0 = -s + 5. Let t(b) = 8*b**3 - 5*b**2 - 11*b - 4. Let v(c) = s*t(c) - 6*g(c). Suppose v(n) = 0. What is n?
-2, 1/2, 1
Let k = -1 - 1. Let b = 75 + -77. Let c(z) = z**3 + 2*z**2 + z. Let w(d) = -d. Let h(a) = b*c(a) + k*w(a). Factor h(m).
-2*m**2*(m + 2)
Let m = 484 - 1450/3. Find u, given that 1/9*u**3 + 4/3*u - m*u**2 - 8/9 = 0.
2
Let k(z) be the third derivative of z**5/12 - 45*z**4/4 + 265*z**3/6 - 94*z**2. Factor k(o).
5*(o - 53)*(o - 1)
Let a(o) be the first derivative of -o**5/5 + 6*o**4 - 166*o**3/3 + 132*o**2 - 121*o - 47. Factor a(w).
-(w - 11)**2*(w - 1)**2
Let c be 20/6*18/10. Factor 2*u + 3*u**2 + 5*u - 7*u - c*u.
3*u*(u - 2)
Let o(m) = -3*m**4 - 22*m**3 + 45*m**2 - 24*m + 6. Let v(h) = 4*h**4 + 21*h**3 - 42*h**2 + 23*h - 9. Let z(f) = 3*o(f) + 2*v(f). Let z(b) = 0. What is b?
-26, 0, 1
Suppose 0 = -4*y - r + 25 - 16, 2 = 3*y - 4*r. Find x, given that 0*x - 2/3*x**y + 0 + 1/3*x**4 - 1/3*x**3 = 0.
-1, 0, 2
Factor 40*t**3 - 27 - 21*t**2 - 76*t**3 - 45*t + 33*t**3.
-3*(t + 1)*(t + 3)**2
Solve 0*w - 1/2*w**2 + 0 + 1/4*w**4 + 1/4*w**3 = 0 for w.
-2, 0, 1
Find p, given that -1/4*p**2 + 17/4 + 4*p = 0.
-1, 17
Suppose 15*g - 81 = -51. Factor -1/4*k + 3/4*k**g + 1/4*k**3 - 3/4.
(k - 1)*(k + 1)*(k + 3)/4
Let m be 2/6 + (-40)/(-15). Factor -5*h**3 - 8*h**2 - 16*h + 2*h**m + 2*h**3.
-h*(h + 4)**2
Let z(n) be the third derivative of n**9/211680 + n**8/70560 + 3*n**5/20 - 6*n**2. Let u(f) be the third derivative of z(f). Let u(v) = 0. What is v?
-1, 0
Factor -5/3*i + 5/3*i**3 + 55/3*i**2 - 55/3.
5*(i - 1)*(i + 1)*(i + 11)/3
Factor -145*s**2 - 164*s**2 + 312*s**2 + 420*s.
3*s*(s + 140)
Let p = 11 + -2. Let v be 0 + p - (-21)/(-7). Factor 0*g**4 - 2*g + 2*g**3 + 0*g + 4 + 2*g**4 - v*g**2.
2*(g - 1)**2*(g + 1)*(g + 2)
Find x, given that -9/4*x**3 + 9/4*x - 3/4*x**2 - 3/4*x**4 + 3/2 = 0.
-2, -1, 1
Let j(l) be the second derivative of l**6/5 + 3*l**5/20 - 2*l**4 - 2*l**3 - 14*l + 2. Factor j(m).
3*m*(m - 2)*(m + 2)*(2*m + 1)
Let x(g) = -g**4 + g**3 + g + 1. Let f(v) = -10*v**4 + 30*v**3 + 110*v**2 + 154*v + 68. Let p(t) = -f(t) + 8*x(t). Factor p(r).
2*(r - 15)*(r + 1)**2*(r + 2)
Let i(w) be the second derivative of -1/30*w**6 - 1/20*w**5 - 4*w**2 + 1/2*w**4 + 2/3*w**3 + 0 + 12*w. Let i(n) = 0. What is n?
-2, 1, 2
Let b(y) be the third derivative of 5/3*y**3 - 1/24*y**6 + 1/3*y**5 + 0 - 6*y**2 - 25/24*y**4 + 0*y. Factor b(o).
-5*(o - 2)*(o - 1)**2
Let y(n) be the first derivative of 8*n**6/33 - 34*n**5/55 + n**4/11 - 22. Determine u, given that y(u) = 0.
0, 1/8, 2
Let s(z) = 2*z**4 - 4*z**2 + 2. Let t = -10 + 8. Let d(c) = c**3 + 0*c + 15*c**4 - 5 - c + 9*c**2 - 19*c**4. Let y(l) = t*d(l) - 5*s(l). Factor y(h).
-2*h*(h - 1)*(h + 1)**2
Let h(p) = -p**2 - 22*p + 557. Let w be h(15). Let t(a) be the second derivative of 0 - a**w - 1/24*a**4 - a - 1/3*a**3. Factor t(o).
-(o + 2)**2/2
Let q be (-18 - -6)/84 + (-75)/(-133). Factor 2/19*y**5 + 0*y**2 + 8/19*y**3 + 0 + q*y**4 + 0*y.
2*y**3*(y + 2)**2/19
Let p(s) be the second derivative of -s**5/4 - 5*s**4/12 + 5*s**3/6 + 5*s**2/2 - 67*s. Factor p(o).
-5*(o - 1)*(o + 1)**2
Let h(t) be the first derivative of 0*t**3 + 4*t - 3/2*t**2 + 1/4*t**4 + 6. Let y(f) be the first derivative of h(f). Determine n so that y(n) = 0.
-1, 1
Let g be 0/((-3)/(45/(-15))). Factor 8/17*d**2 + g - 2/17*d**3 - 6/17*d.
-2*d*(d - 3)*(d - 1)/17
Let m(v) = -7*v**2 - 104*v + 128. Let t be m(-16). What is f in 2/5*f**3 + t*f**2 - 2/5*f + 0 = 0?
-1, 0, 1
Let m(p) = 7*p**4 + 41*p**3 - 74*p**2. Let u(v) = 3*v**4 + 21*v**3 - 36*v**2. Let g(o) = 6*m(o) - 13*u(o). Factor g(s).
3*s**2*(s - 8)*(s - 1)
Suppose -2*g + 6*g - 24 = 0. Let m be 147/g + 2/(-4). Factor 4*z**2 + m + 12 + z**2 - z**2 - 24*z.
4*(z - 3)**2
Suppose -3*a**3 + 0 + 0*a - 1/3*a**4 + 0*a**2 = 0. Calculate a.
-9, 0
Let q(k) be the first derivative of -7*k**4/24 - 107*k**3/18 + 52*k**2/3 + 34*k/3 + 187. Let q(g) = 0. What is g?
-17, -2/7, 2
Suppose -2*r + 24 + 26 = -4*o, 5*o + 5*r = -40. Let l be o/(-2) + (-6)/4. Determine c, given that 2*c**2 + 0*c**2 - 2*c**3 - l*c + 4*c**2 = 0.
0, 1, 2
Let 25*o**3 + 90*o**2 + 6*o + 11*o - 24*o - 33*o = 0. What is 