the second derivative of 127/18*b**4 + 0 + 5/18*b**6 - 70/9*b**3 + 4*b**2 - 29/12*b**5 + 76*b. Let c(d) = 0. What is d?
2/5, 2, 3
Let w(m) be the second derivative of -m**5/30 + 5*m**4/18 + 22*m**3/9 + 16*m**2/3 - 1127*m. Find z, given that w(z) = 0.
-2, -1, 8
Let y(f) be the first derivative of 2*f**5/85 - 79*f**4/34 - 326*f**3/51 + 79*f**2/17 + 324*f/17 - 1531. Let y(c) = 0. What is c?
-2, -1, 1, 81
Factor -228/5*w + 2/5*w**2 + 448/5.
2*(w - 112)*(w - 2)/5
Factor 30*l**3 + 616*l - 37*l**3 + 41*l**2 - 614*l + 147*l**3 + 132*l**4.
l*(2*l + 1)**2*(33*l + 2)
Let o(g) = -g**3 + 2*g**2. Let n(v) = 2*v**4 - 22*v**3 + 88*v**2 - 120*v + 50. Suppose 2*a = -a - 6. Let m(q) = a*o(q) - n(q). Factor m(y).
-2*(y - 5)**2*(y - 1)**2
Suppose 51*y - 11*y + 6405 = -6399 + 12804. Factor y*a - 2/11*a**5 + 10/11*a**4 + 8/11*a**2 - 16/11*a**3 + 0.
-2*a**2*(a - 2)**2*(a - 1)/11
Factor -z**3 - 25*z**2 + 4*z - 5 + 7*z**2 - 7 + 21*z**2.
-(z - 3)*(z - 2)*(z + 2)
Suppose 178 = -9*o + 196. Factor -q**2 + 11056*q - 96 - 11155*q - o*q**2.
-3*(q + 1)*(q + 32)
Let z(b) be the third derivative of b**6/300 - 34*b**5/25 + 867*b**4/5 + 2*b**2 - 303. Suppose z(l) = 0. Calculate l.
0, 102
Let j(d) be the third derivative of d**6/3060 - d**5/340 - d**4/51 + 30*d**3 + 178*d**2. Let w(h) be the first derivative of j(h). Factor w(n).
2*(n - 4)*(n + 1)/17
Let f(d) be the third derivative of -d**6/720 + d**5/60 - d**4/12 + 20*d**3/3 + 99*d**2. Let m(v) be the first derivative of f(v). Factor m(b).
-(b - 2)**2/2
Suppose 22*g - 36 = 21*g. Find o such that 74*o**4 + 15 - 3 + g*o + o**4 - 90*o**3 - 33*o**2 = 0.
-2/5, 1
Let y be (-12)/9*3/(-2). Let w be 8*y/48 - (-70)/6. Factor -3/2*n**2 - 24 + w*n.
-3*(n - 4)**2/2
Let p = -856 - -856. Let s(c) be the first derivative of p*c + 4/3*c**3 - 2/5*c**2 - 4/5*c**4 - 4. Factor s(g).
-4*g*(g - 1)*(4*g - 1)/5
Let n = 94595 - 94593. What is a in 968/3 + 88/3*a + 2/3*a**n = 0?
-22
Suppose q = -5*t + 570, 5*t - 570 = 2*q - q. Let x be ((-28)/(-6) - 4)*t. Determine d, given that -2*d**4 + x + 10*d**3 - 76 + 5*d**2 - 10*d - 3*d**4 = 0.
-1, 0, 1, 2
Let c(y) be the second derivative of y**7/3360 - y**6/720 - 8*y**3 - y**2 - 12*y. Let t(x) be the second derivative of c(x). What is w in t(w) = 0?
0, 2
Let i be 84/756 + ((-38)/(-114))/(-2 - 1). Let v = 0 + 2. Factor -2/7*u + i + 2/7*u**v.
2*u*(u - 1)/7
Let w(k) be the first derivative of 26/15*k**3 + 3/5*k**4 + 2/5*k**2 + 0*k - 59. Let w(j) = 0. What is j?
-2, -1/6, 0
Let l(x) be the second derivative of -4913*x**5/20 - 2601*x**4/2 - 2754*x**3 - 2916*x**2 + 91*x. Find v, given that l(v) = 0.
-18/17
Let l(g) be the second derivative of -5*g**4/12 + 445*g**3/2 + 670*g**2 - 2*g + 7. Factor l(c).
-5*(c - 268)*(c + 1)
Suppose 65 = -3*r + 16*r. Suppose r*m - 12 - 18 = 0. Factor t**2 + m - 25*t + 13*t + 17*t.
(t + 2)*(t + 3)
Let -1/2*g**3 - 615/2*g**2 - 8615125/2 - 126075/2*g = 0. Calculate g.
-205
Suppose 6*m - 27 + 18 = 3. Let z(u) be the first derivative of -7/4*u**m + 3/2*u**3 - 5/8*u**4 + u + 1/10*u**5 - 3. Factor z(a).
(a - 2)*(a - 1)**3/2
Let y(x) be the first derivative of -x**4/7 + 268*x**3/21 - 750*x**2/7 + 2196*x/7 - 582. Factor y(z).
-4*(z - 61)*(z - 3)**2/7
Let z be 7880/(-3)*(18 - 25731/1428). Let b = z - 310/17. Factor -50/7*c**2 - b*c - 242/7.
-2*(5*c + 11)**2/7
Let m(f) be the third derivative of 5*f**8/336 + f**7/24 - 5*f**6/16 + 23*f**5/48 - 5*f**4/24 - 5684*f**2. Find b, given that m(b) = 0.
-4, 0, 1/4, 1
Suppose 2*r - 34 + 2 = 0. Let s be (r/6)/((-13)/(585/(-10))). Factor 16 - 2*i**3 + 12*i**2 - 20*i + 8*i - s*i.
-2*(i - 2)**3
Let a(n) = -n**4 + n**2 - 1. Let q(d) = -686*d**5 - 3620*d**4 - 5628*d**3 - 2398*d**2 - 304*d + 6. Let r(u) = -12*a(u) - 2*q(u). Find t such that r(t) = 0.
-19/7, -2, -2/7, 0
Let v(o) be the first derivative of 2/3*o**3 + 79 + 30*o + 8*o**2. Factor v(l).
2*(l + 3)*(l + 5)
What is i in -98/11*i + 12 - 2/11*i**3 - 32/11*i**2 = 0?
-11, -6, 1
Let u be (1/(-4))/(18/8)*(-6150)/205. Let 5/6*b**2 + 10/3 - u*b = 0. What is b?
2
Let a = -1409 - -2898. Suppose -2*v + 2006 = 5*o - 463, 5*v = -3*o + a. Factor 493*x - o*x + 28*x**2 - 4*x**3.
-4*x**2*(x - 7)
Let p(g) be the second derivative of 0*g**2 + 0 + 0*g**3 - 1/10*g**5 - 6*g - 13/3*g**4. Factor p(a).
-2*a**2*(a + 26)
Let c(d) be the second derivative of -d**5/70 + d**4/21 + 31*d**3/21 + 4*d**2 - 891*d. Find l such that c(l) = 0.
-4, -1, 7
Factor 7/3*p**4 + 0 + 19/3*p**3 + 8/3*p - 34/3*p**2.
p*(p - 1)*(p + 4)*(7*p - 2)/3
Let y(t) = -11*t**2 - 67*t - 140*t - 1546 + 96*t - 81*t. Let i(q) = 6*q**2 + 96*q + 774. Let o(r) = -5*i(r) - 3*y(r). Let o(c) = 0. What is c?
-16
Let d(y) = 75*y**4 - 453*y**3 + 465*y**2 - 33*y + 9. Let f(r) = -19*r**4 + 113*r**3 - 116*r**2 + 10*r - 2. Let c(s) = 2*d(s) + 9*f(s). Factor c(b).
-3*b*(b - 4)*(b - 1)*(7*b - 2)
Let j(f) be the first derivative of -8/7*f - 3/7*f**2 - 62 + 2/21*f**3. Factor j(k).
2*(k - 4)*(k + 1)/7
Let h(c) be the first derivative of 7*c**6 - 566*c**5/15 + 16*c**4 + 24*c**3 + 16*c**2/3 + 6728. Determine d, given that h(d) = 0.
-2/7, -2/9, 0, 1, 4
Let i = 3959 + -11873/3. Let g(h) be the first derivative of -3 - 2*h**2 + i*h**3 + h. Factor g(r).
(2*r - 1)**2
Let c(o) be the third derivative of o**6/120 - 5*o**5/12 + 2562*o**2. Factor c(r).
r**2*(r - 25)
Let k = 81 - 71. Let s be (-6)/k*((-4)/12 + -3). Factor 1/3*d**s - 2/3*d**3 + 0 + 2/3*d - 1/3*d**4.
-d*(d - 1)*(d + 1)*(d + 2)/3
Suppose -262*g + 7620 = 284. Let i(w) be the first derivative of 5/2*w**4 - 10/3*w**3 + 3*w**5 - 15/2*w**2 + g + 5/6*w**6 - 5*w. Factor i(u).
5*(u - 1)*(u + 1)**4
Let j be (-1)/217*(-7104)/(-80). Let i = -2/217 - j. Find l such that -6/5 + 8/5*l - i*l**2 = 0.
1, 3
Let o(u) be the first derivative of u**4/6 - 20*u**3 + 416*u**2 + 75712*u/3 + 1284. Factor o(g).
2*(g - 52)**2*(g + 14)/3
Find i such that -48/5*i**4 + 84/5*i + 8 - 16*i**3 - 4/5*i**5 + 8/5*i**2 = 0.
-10, -1, 1
Let d(g) = 11*g**2 + 3*g - 5. Let r be d(2). Let t be (r/27)/((-50)/(-36)). Factor 3/5*p**4 - 3/5*p**5 - t*p**2 - 3/5*p + 6/5*p**3 + 3/5.
-3*(p - 1)**3*(p + 1)**2/5
Let q(t) be the third derivative of -4/33*t**7 - 38/165*t**5 - 39/110*t**6 + 19*t**2 - 7/132*t**4 + 0 + 25/1848*t**8 + 0*t**3 + 0*t. What is h in q(h) = 0?
-1, -1/5, 0, 7
Let g be 9/9*(-1)/(12/(-80)). Let i(b) be the second derivative of 0 + g*b**3 - 10*b - 1/3*b**4 - 50*b**2. Find u such that i(u) = 0.
5
Let v(q) be the first derivative of 20/3*q + 8/3*q**2 + 86 - 4/9*q**3. Factor v(a).
-4*(a - 5)*(a + 1)/3
Let g be 3 + -1 + 24 + (0 - 0). Factor 23 + 2*m - 268*m**2 + 269*m**2 - g*m.
(m - 23)*(m - 1)
Let k(j) be the first derivative of -5*j**4/2 - 425*j**3/3 + 655*j**2/2 - 220*j + 5764. Factor k(u).
-5*(u - 1)*(u + 44)*(2*u - 1)
Let w(u) be the first derivative of -3*u**4/28 - 31*u**3/7 - 60*u**2/7 - 130*u + 154. Let r(t) be the first derivative of w(t). Solve r(i) = 0.
-20, -2/3
Suppose -826*y + 811*y = 0. Let z(x) be the second derivative of 0*x**3 + y*x**4 + 0 - 1/150*x**5 + 16*x + 0*x**2. Factor z(c).
-2*c**3/15
Find s such that 42/5*s - 31/5*s**2 + 0 - 12/5*s**3 + 1/5*s**4 = 0.
-3, 0, 1, 14
Let x(w) = w**2 + 5*w - 3. Let c be x(-6). Factor 6*u**c - 3*u**4 - 14*u**3 + 9 + 8*u**3 + 18*u**2 + 24*u.
-3*(u - 3)*(u + 1)**3
Let x(h) be the second derivative of h**4/18 + 1070*h**3/3 + 858675*h**2 - 760*h + 5. Suppose x(q) = 0. What is q?
-1605
Factor -16 - 62/3*t - 5*t**2 - 1/3*t**3.
-(t + 1)*(t + 6)*(t + 8)/3
Find w such that -125/3*w + 125/3*w**3 + 2 - 41/3*w**4 + 35/3*w**2 = 0.
-1, 2/41, 1, 3
Suppose 262 = 1136*u - 2010. Suppose -12/7*p**3 - 1/7*p**4 - 25/7 - 46/7*p**u - 60/7*p = 0. Calculate p.
-5, -1
Let d(c) = 9949*c + 49753. Let q be d(-5). Factor -44/3*r - 16/3*r**2 + 4/3*r**3 - q.
4*(r - 6)*(r + 1)**2/3
Let h(r) be the third derivative of 0 + 13/8*r**4 + 0*r - 169/4*r**3 + 120*r**2 - 1/40*r**5. Factor h(g).
-3*(g - 13)**2/2
Let u(z) be the third derivative of 25/18*z**3 - 3*z**2 - 1/6*z**5 + 0 - 1/18*z**6 + 5/18*z**4 + 13*z + 1/126*z**7. Factor u(p).
5*(p - 5)*(p - 1)*(p + 1)**2/3
Solve 2886*i**3 + 9006*i**4 + 5030*i**2 - 8998*i**4 + 1434*i - 2128 + 1410 = 0.
-359, -1, 1/4
Suppose -767*b**2 - 2149*b**2 + 226*b**3 - 228*b**3 - 1062882*b = 0. Calculate b.
-729, 0
Suppose 4*s = 3*q + 8, 3*q - 19 = -7. Suppose 5*z + 8 = 4*j, 5*j = s*z + 1 + 9. Factor 9*r + 12*r + 15*r**j + r**3 -