+ 3*a**4/4 + 6*a**3 - 16. Find s, given that r(s) = 0.
-1, 0, 2, 3
Factor 5*l - l**3 + 2*l + 28*l**2 + 4*l - 5 - 10*l - 23*l**2.
-(l - 5)*(l - 1)*(l + 1)
Let a(v) = 8*v + 2. Let d be a(1). Let w = d - 3. Suppose w - z**3 + z - 7 = 0. Calculate z.
-1, 0, 1
Let z(n) be the first derivative of 1/19*n**2 + 0*n - 2/57*n**3 - 7. Factor z(r).
-2*r*(r - 1)/19
Suppose -92 = -d + 3*x, 4*x = -3*d - 46 + 296. Let w = d - 86. What is b in w + 52/7*b**4 + 8/7*b - 20/7*b**5 - 4/7*b**2 - 36/7*b**3 = 0?
-2/5, 0, 1
Let f be (-6)/22*(-120)/(-36). Let b = f + 31/22. Factor -1/4*r**2 + b*r + 0.
-r*(r - 2)/4
Let z(m) be the third derivative of 0*m + 4*m**2 - 1/28*m**4 + 0 - 1/210*m**5 + 0*m**3. Let z(b) = 0. What is b?
-3, 0
Let j(f) be the second derivative of -f**7/3780 - f**6/135 - 4*f**5/45 - 7*f**4/12 + 10*f. Let y(g) be the third derivative of j(g). Let y(u) = 0. What is u?
-4
Let n(f) be the third derivative of f**6/36 - 11*f**5/45 - 13*f**4/9 + 8*f**3/3 + 34*f**2. Factor n(x).
2*(x - 6)*(x + 2)*(5*x - 2)/3
Let y be (-16)/(-2) - 16/(-4). Let m = 17 - y. Let 4 - 4*v**2 + 5*v**2 - m - 3 = 0. What is v?
-2, 2
Let y = 2985 + -2984. Find s, given that -1/4*s**3 + 0*s + y + 3/4*s**4 - 7/4*s**2 + 1/4*s**5 = 0.
-2, -1, 1
Let c(y) be the third derivative of y**10/201600 - y**9/40320 - y**8/8960 + y**5/60 - 5*y**3 + 9*y**2. Let z(t) be the third derivative of c(t). Factor z(x).
3*x**2*(x - 3)*(x + 1)/4
Let h(n) = 14*n**2 + 20*n + 6. Let s(q) = 5*q**2 + 7*q + 2. Suppose -4*t + 5*t = -3. Let i(g) = t*h(g) + 8*s(g). Factor i(c).
-2*(c + 1)**2
Let b = 143 + -150. Let l be 2/((b/(-21))/(1/24)). Determine v, given that 0*v + l*v**2 - 1/4 = 0.
-1, 1
Let i(p) be the first derivative of p**6/6 + 3*p**5/5 - p**4 + 67. Factor i(n).
n**3*(n - 1)*(n + 4)
Let u(h) be the first derivative of 1/3*h**3 - 3/2*h**2 + 10 - 4*h. Factor u(f).
(f - 4)*(f + 1)
Let d be 896/168 + (0 + 16)/4. Let 0*t**2 + 4*t**4 - 16/3*t + 0 + d*t**3 = 0. What is t?
-2, -1, 0, 2/3
Let i(w) be the first derivative of -1/28*w**4 - 2/21*w**3 - 9 + 1/35*w**5 + 0*w**2 + 0*w. Suppose i(u) = 0. Calculate u.
-1, 0, 2
Let h(y) be the first derivative of 1/2*y**4 + 1/3*y**3 + 0*y - 11 + 0*y**2 + 1/5*y**5. Factor h(k).
k**2*(k + 1)**2
Let o be -2 - (8 + -9) - 0 - -4. Find t, given that 64/5*t - 104/15*t**2 + 8/5*t**o - 2/15*t**4 - 128/15 = 0.
2, 4
Let h = 108 - 86. Suppose -4*b - b = w - h, 4*w + 4 = 3*b. Factor -4/3*r**3 - 2/3*r**5 - 4/3*r**2 + 2*r + 2*r**b - 2/3.
-2*(r - 1)**4*(r + 1)/3
Let z(x) be the first derivative of -5*x**4/4 + 10*x**2 + 352. Factor z(f).
-5*f*(f - 2)*(f + 2)
Let b(d) be the third derivative of -1/1680*d**8 + 1/600*d**6 - 1/300*d**5 + 0*d**4 + 0 + 0*d + 36*d**2 + 1/1050*d**7 + 0*d**3. Factor b(o).
-o**2*(o - 1)**2*(o + 1)/5
Let z(w) be the second derivative of 9*w**7/14 - 36*w**6/5 + 99*w**5/4 - 121*w**4/6 + 2*w + 156. Solve z(k) = 0.
0, 2/3, 11/3
Let l = 439/3 + -5677/39. What is z in -12/13*z**2 + 12/13*z**4 - 8/13*z**3 + l*z**5 - 2/13*z + 0 = 0?
-1, -1/5, 0, 1
Suppose -2*g + 12 = -5*g. Let f(m) = 0*m**3 + 0*m**2 + 0*m**2 - 3*m - m**3. Let a(d) = -2*d**3 - 4*d. Let b(y) = g*f(y) + 3*a(y). Factor b(j).
-2*j**3
Let w(t) be the first derivative of 2*t**5/35 + t**4/7 + 2*t**3/21 - 65. Solve w(h) = 0.
-1, 0
Let f = 325 - 323. Suppose q - 5*k + 10 = 0, f*k = -3*q + 4 - 0. Factor 0*u + q + 2/7*u**2 + 2/7*u**3.
2*u**2*(u + 1)/7
Let w = 222 - 222. Let k(c) be the third derivative of -1/50*c**6 - 1/6*c**4 + 0*c + 1/5*c**3 + 2/25*c**5 + 1/525*c**7 + w - 3*c**2. Find h such that k(h) = 0.
1, 3
Find v, given that 10/11*v**2 - 40/11 + 2/11*v**3 - 8/11*v = 0.
-5, -2, 2
Let c(n) be the first derivative of -n**6/3 + 2*n**5 - 4*n**4 + 8*n**3/3 - 100. Factor c(k).
-2*k**2*(k - 2)**2*(k - 1)
Let q(z) be the second derivative of -z**4/28 - 13*z**3/42 - 2*z**2/7 + 477*z. Suppose q(t) = 0. Calculate t.
-4, -1/3
Let l be 1 - (-14)/(-30) - (-78)/585. Let t(s) be the first derivative of -5/4*s**2 + 7 - 1/2*s - l*s**3. Solve t(j) = 0.
-1, -1/4
Factor 44*b - 338 + b**2 + 8*b - 3*b**2.
-2*(b - 13)**2
Let y = 19 - 17. Let f be (y/(-2))/((-1)/2). Factor -5*k**2 + 15*k + 0 - 4 - 8 + f.
-5*(k - 2)*(k - 1)
Let y(a) be the second derivative of 2*a**7/63 + 16*a**6/9 + 101*a**5/3 + 1610*a**4/9 - 9800*a**3/9 + 5488*a**2/3 - 663*a. Factor y(k).
4*(k - 1)**2*(k + 14)**3/3
Let r(n) be the third derivative of 7*n**5/30 + n**4/60 - 5*n**2 + 15*n. Suppose r(q) = 0. What is q?
-1/35, 0
Let r(v) be the second derivative of v**6/40 + v**5/5 + 3*v**4/8 - v**2 - 6*v. Let q(o) be the first derivative of r(o). Factor q(s).
3*s*(s + 1)*(s + 3)
Factor -1/2*y + 1/2*y**2 - 3.
(y - 3)*(y + 2)/2
Let p = 100 - -10. Let q be -1*3*p/(-66). Factor 0 - 1/2*t**q + 0*t + 3/4*t**4 + 0*t**3 - 1/4*t**2.
-t**2*(t - 1)**2*(2*t + 1)/4
Let i(r) = -4*r**2 - 4*r + 8. Let b be (1 + 1)/(3/(-18)). Let x = -11 - b. Let z(c) = c - 1. Let j(s) = x*i(s) + 4*z(s). Factor j(u).
-4*(u - 1)*(u + 1)
Let k(m) be the first derivative of m**6/30 + 8*m**5/25 - 2*m**4/5 - 32*m**3/5 + 72*m**2/5 - 94. Factor k(r).
r*(r - 2)**2*(r + 6)**2/5
Suppose 4*h - 2*f - 3*f - 8 = 0, 0 = 4*h - 4*f - 4. Let z(c) = -14*c - 1. Let a be z(h). Factor 41*d - a*d - d**5 - 2*d**2 - 5*d**3 - 4*d**4.
-d**2*(d + 1)**2*(d + 2)
Suppose 12 = 3*j + 3. Let b be (0/(-1))/(1/2*-2). Factor 6*c**3 - 3*c**2 + b*c + j*c**4 - 3*c + c - 4*c.
3*c*(c - 1)*(c + 1)*(c + 2)
Let p(v) be the third derivative of 0 + 1/2*v**4 + 4/3*v**3 + 1/15*v**5 + 5*v**2 + 0*v. Suppose p(z) = 0. Calculate z.
-2, -1
Let d(k) be the second derivative of -14/15*k**5 + 4/15*k**6 + 0 - 2/63*k**7 - 26*k + 16/9*k**4 + 4/3*k**2 - 2*k**3. Factor d(c).
-4*(c - 2)*(c - 1)**4/3
Let q(g) = 2*g - 42. Let y be q(17). Let i be y*(-22)/33*4/6. Factor i*d + 16/9*d**2 + 2/9*d**3 + 0.
2*d*(d + 4)**2/9
Let p(r) = -8421*r**3 - 15671*r**2 + 2291*r - 58. Let t = -66 - -55. Let k(u) = 1684*u**3 + 3134*u**2 - 458*u + 12. Let v(z) = t*k(z) - 2*p(z). Factor v(h).
-2*(h + 2)*(29*h - 2)**2
Suppose -2*l + 6*o = o + 21, 5*l = -2*o + 20. Suppose -z**2 - 39 - z + 2*z**3 + 41 - z**3 - z**l = 0. Calculate z.
-1, 1, 2
Factor 0 - 12/7*t + 3/7*t**3 + 9/7*t**2.
3*t*(t - 1)*(t + 4)/7
Let o(x) = x**3 - 12*x**2 + 22*x - 18. Let z be o(10). Solve -8 + 2 - z*b**2 - 8*b - 5 + 3 = 0.
-2
Let a(z) = -z**2 - 40*z - 8. Let x(k) = -k**2 - 43*k - 9. Let f(q) = -9*a(q) + 8*x(q). Solve f(h) = 0.
-16, 0
Factor -3/2*x**2 - 45/2 + 12*x.
-3*(x - 5)*(x - 3)/2
Let k(v) be the second derivative of -v**5/20 - v**4/4 + v**3/2 + v**2/2 - 2*v. Let m be k(-4). Let -4*p**2 + 2*p - p**3 + 0*p + m*p**2 = 0. Calculate p.
-1, 0, 2
Let d = -1461 + 1464. Let n = -9 - -11. Factor 4/3*v**4 + 2/3 + v**5 + 1/3*v - 2*v**n - 4/3*v**d.
(v - 1)*(v + 1)**3*(3*v - 2)/3
Let v(q) = q**3 + 10*q**2 + 11*q + 11. Let p be v(-7). Let x be (2 - p/60) + (-6)/24. Determine w, given that x - 28/5*w**3 + 13/5*w + 13/5*w**2 = 0.
-2/7, -1/4, 1
Let d(g) = 5*g**3 - 14*g**2 + 6*g + 4. Let i(m) = -2*m**3 + 6*m**2 - 3*m - 2. Let h(p) = 3*d(p) + 7*i(p). Determine u, given that h(u) = 0.
-1, 2
Suppose -5*t + 25 = 5*g, 2 = 2*g - 2. Factor 4/9 - 10/9*a - 4/9*a**2 + 10/9*a**t.
2*(a - 1)*(a + 1)*(5*a - 2)/9
Factor -3/2*i**2 + 27/2*i - 21.
-3*(i - 7)*(i - 2)/2
Let a(g) be the second derivative of -g**7/42 - 13*g**6/30 - 3*g**5 - 28*g**4/3 - 32*g**3/3 + 23*g. Determine v so that a(v) = 0.
-4, -1, 0
Factor -6*o - 1/4*o**4 - 2*o**3 - 11/2*o**2 - 9/4.
-(o + 1)**2*(o + 3)**2/4
Let v(j) = -3*j. Let x be v(-10). Determine i so that 48*i**2 - 21*i**3 + 12*i + 21*i**2 - x*i = 0.
0, 2/7, 3
Determine y so that -3/8*y**2 - 2904 + 66*y = 0.
88
Suppose -s**2 + 15 - 36*s + 2*s**2 - 15 - 4*s**2 = 0. Calculate s.
-12, 0
Suppose 4*h = -21*h + 150. Let q(v) be the first derivative of 1/7*v**2 - 8/21*v**3 + 3/7*v**4 - 8 - 8/35*v**5 + 0*v + 1/21*v**h. Factor q(y).
2*y*(y - 1)**4/7
Let q(x) = -12*x**2 - x + 18. Let c(w) = -25*w**2 - 2*w + 33. Let y(p) = -6*c(p) + 11*q(p). Find g, given that y(g) = 0.
-1/18, 0
Factor 0 + 6*c**2 + 0*c**4 + 3/4*c**5 - 9/4*c - 9/2*c**3.
3*c*(c - 1)**3*(c + 3)/4
Let s = -63 - -65. Suppose 10*t**5 - 104*t**4 - 5 - 41*t + t**s + 12*t + 6*t**5 + 121*t**3 = 0. What is t?
-1/4, 1, 5
Let z(j) = -j**3 + 13*j**2 - 11*j - 4. Let n be z(12). What is c in 3*c**2 + 3*c**2 - 2*c**4 + 4*c**3 - n*c**3 = 0?
-3, 0, 1
Suppose 0 = 9*u + 11*u. Let z(v) be th