the second derivative of -g**4/66 + 13*g**3/11 + 40*g**2/11 + 214*g - 1. Determine o, given that w(o) = 0.
-1, 40
Let h(f) be the second derivative of -26/3*f**3 + f + 1/3*f**4 - 60*f**2 + 6. Factor h(u).
4*(u - 15)*(u + 2)
Let g = 142418 + -142416. Factor 400/3 + 80/3*w + 4/3*w**g.
4*(w + 10)**2/3
Let m(d) be the second derivative of d**5/20 + d**4/4 - 2*d**3/3 - 363*d. Find s such that m(s) = 0.
-4, 0, 1
Factor 5*d**4 - 31740*d - 2*d**4 - 72*d**3 - 14588 + 4554*d**2 - 21913 - 132*d**3.
3*(d - 23)**3*(d + 1)
Let x = 1197/656 - 2935/1968. Let 10/3*a**3 - 2 - 11/3*a + 0*a**2 + 2*a**4 + x*a**5 = 0. What is a?
-3, -2, -1, 1
Let z(k) = k**2 - 19*k - 37. Let o be z(-2). Suppose -3768*b**2 - o*b**4 + 3773*b**2 + 5*b**3 + 5*b**3 - 10*b = 0. Calculate b.
-1, 0, 1, 2
Suppose 0 = 5*h + 226 - 286. Let v be 30/72 - h/(-36). Factor -1/2 - 1/4*o**3 + 0*o**2 + v*o.
-(o - 1)**2*(o + 2)/4
Let u(d) be the third derivative of d**8/1344 + d**7/420 - 3*d**6/40 - d**5/120 + 35*d**4/96 + 10*d**2 + 6*d - 1. Solve u(z) = 0.
-7, -1, 0, 1, 5
Let h(q) be the first derivative of q**3 - 117*q**2/2 + 1122*q + 9182. Find p, given that h(p) = 0.
17, 22
Suppose 2*r = -2*f + 40, -2*r = 5*f - 6*f + 32. Suppose 0*p = 8*p - f. Let -3*c**5 - 2*c**4 + 2 - 137*c**p + 5*c + 0 - 8*c**4 + 127*c**3 = 0. Calculate c.
-1, 2/3
Suppose -385/3 - 23/3*b**2 + 1/6*b**3 - 481/6*b = 0. Calculate b.
-7, -2, 55
Let j(x) be the second derivative of -9/2*x**2 + x**3 + x + 1/4*x**4 + 2. Let j(g) = 0. Calculate g.
-3, 1
Suppose -2*i = -3*r - i + 1, -2*r = 4*i + 4. Let n be 9 + -7 + -12 - 13*-1. Factor -1/3*c**n + 0*c**4 + 0*c + r*c**2 + 1/3*c**5 + 0.
c**3*(c - 1)*(c + 1)/3
Let y(q) = q**2 + 753*q + 752. Let z be y(-1). Let j(b) be the second derivative of 64/3*b**3 + 2/15*b**6 + 0*b**4 - 6/5*b**5 + 0*b**2 + z - 28*b. Factor j(s).
4*s*(s - 4)**2*(s + 2)
Find j such that 1599 - 649*j + 144*j + 1546 - 1045 - 5*j**2 = 0.
-105, 4
Let v(r) = -2*r + 18. Let t be v(5). Suppose -4*y + 19 = -b + 5, 2*b - t = -y. Factor 0 + 2/5*a**3 - 2/5*a**b - 4/5*a.
2*a*(a - 2)*(a + 1)/5
Let x(n) be the second derivative of 0 + 8/3*n**3 + 64*n - 16/3*n**4 + 7/5*n**5 + 0*n**2. Factor x(y).
4*y*(y - 2)*(7*y - 2)
Let c(g) be the second derivative of 11*g**6/720 + g**5/120 + 17*g**3/2 - 4*g + 3. Let d(p) be the second derivative of c(p). Suppose d(w) = 0. What is w?
-2/11, 0
Let t = 274379 + -274379. Factor 0*k + 24/7*k**3 + 2/7*k**5 + t - 16/7*k**4 + 0*k**2.
2*k**3*(k - 6)*(k - 2)/7
Let c = 1353 + -1349. Suppose 4 = -4*d, -4*d = 2*h + c - 0. Find a such that -3/2*a**2 + 9/4*a**5 + h - 1/4*a + 3/2*a**4 - 2*a**3 = 0.
-1, -1/3, 0, 1
Let j(b) be the second derivative of -b - 324/5*b**3 - 1/50*b**5 - 5832/5*b**2 - 9/5*b**4 - 5. Factor j(f).
-2*(f + 18)**3/5
Suppose -f - 265 = 5*a + 2*f, -a - f - 51 = 0. Let k be a/(-10) - (-18)/(-30). Let k*b**2 + 21 - 4*b**2 + b**2 - 23 = 0. Calculate b.
-1, 1
Suppose -7*r + 6 = -22. Suppose r = -x + 12. Factor 9*v + 19*v**2 + x + 17*v**2 + v - 34*v**2.
2*(v + 1)*(v + 4)
Factor -99/7*w - 3/7*w**2 - 810/7.
-3*(w + 15)*(w + 18)/7
Let i(m) be the first derivative of -m**5/5 + 5*m**4/3 + 8*m**3/3 - 40*m**2 - 115*m + 160. Let t(q) be the first derivative of i(q). Let t(w) = 0. What is w?
-2, 2, 5
Let h(t) be the first derivative of 2*t**5/45 - 85*t**4/18 + 374*t**3/9 - 131*t**2 + 156*t - 1255. Suppose h(b) = 0. Calculate b.
1, 3, 78
Factor -940*h + 11271*h**2 - 5639*h**2 - 4928400 - 5633*h**2 - 3500*h.
-(h + 2220)**2
Let g = -376933/3 + 125645. Factor -10/3*t - 2*t**2 + g*t**3 - 4/3 + 2/3*t**4.
2*(t - 2)*(t + 1)**3/3
Let x(c) = c**2 - 2*c - 1. Let o be x(-1). Let f(z) = 13 + z - 5*z**o + 6 - 13. Let u(g) = g**2 + g. Let n(s) = f(s) + 3*u(s). Factor n(d).
-2*(d - 3)*(d + 1)
Factor -25845375/4*w + 0 + 3/4*w**4 + 378225/4*w**2 - 1845/4*w**3.
3*w*(w - 205)**3/4
Let n be (-17)/((-2805)/1210) - 7. Determine c, given that 34/3 - n*c**2 - 5*c = 0.
-17, 2
Factor 218*s**2 + 72*s**2 + 3*s**3 + 28*s**2 + 8427*s.
3*s*(s + 53)**2
Let a = 48/6317 + 43979/31585. Suppose 8/5*h - 1/5*h**2 - a = 0. What is h?
1, 7
Let i(u) be the first derivative of 0*u**2 - 230 - 1/6*u**3 - 1/4*u**4 + 0*u - 1/10*u**5. Find b such that i(b) = 0.
-1, 0
Let y(z) be the first derivative of -z**5 + 185*z**4/4 + 195*z**3 + 595*z**2/2 + 200*z + 327. Suppose y(j) = 0. What is j?
-1, 40
Let t(g) = 3221*g**3 - 3224*g**3 + 1 - 3*g + g - 1 - 1. Let c(j) = 11*j**3 - 38*j**2 + 166*j + 203. Let z(u) = -2*c(u) - 6*t(u). Factor z(l).
-4*(l - 10)**2*(l + 1)
Let i be (-9)/27 - (1505/105 - 16). Find y such that -16/9*y**2 - 2/9*y**4 + 4/3*y - i*y**3 + 2 = 0.
-3, -1, 1
Let j(w) be the third derivative of w**6/120 - 29*w**5/20 + 57*w**4/8 - 85*w**3/6 - 167*w**2. What is i in j(i) = 0?
1, 85
Factor 194/3 + 66*n**2 + 130*n + 2/3*n**3.
2*(n + 1)**2*(n + 97)/3
Suppose 2*c + 60 = 66. Factor 12*n**c + 12*n + 7*n**2 + 8*n**3 + 20*n**2 + n**2 + 4*n**4.
4*n*(n + 1)**2*(n + 3)
Let z(d) = 25*d**5 + 50*d**4 + 25*d**3 + 19*d**2 - 19. Let w(o) = -5*o**5 - 10*o**4 - 5*o**3 - 4*o**2 + 4. Let t(r) = -19*w(r) - 4*z(r). Factor t(p).
-5*p**3*(p + 1)**2
Let g(a) = 2*a**4 + a**3 + a**2. Let w(i) = -6*i**4 + 21*i**3 + 29*i**2. Let d(b) = g(b) - w(b). Let d(o) = 0. Calculate o.
-1, 0, 7/2
Suppose -272/13*u - 204/13*u**2 - 114/13 - 2/13*u**4 - 48/13*u**3 = 0. What is u?
-19, -3, -1
Let w(i) be the second derivative of 69*i**5/40 - 647*i**4/16 - 81*i**3 + 135*i**2/8 + 1386*i - 2. Let w(h) = 0. What is h?
-1, 3/46, 15
Let y(p) be the second derivative of -p**8/140 - 9*p**7/280 - p**6/60 - 10*p**3/3 + 37*p. Let u(l) be the second derivative of y(l). Factor u(w).
-3*w**2*(w + 2)*(4*w + 1)
Let m be 4/(-6)*(-6)/16. Suppose 2*h + 11*q + 8 + 21 = 0, -q = h + 1. Let -1/2*r**5 + 0*r**h + 1/4*r**3 + 0 - m*r**4 + 0*r = 0. Calculate r.
-1, 0, 1/2
Let f(i) be the first derivative of 2*i**3/3 - 38*i**2 + 144*i - 1772. Factor f(l).
2*(l - 36)*(l - 2)
Let p = -169368 + 672779/4. Let y = 1174 + p. Factor y*i - 5/4*i**2 + 9/4 + 1/4*i**3.
(i - 3)**2*(i + 1)/4
Let a(q) = 14*q**2 + 266*q - 480. Let y(p) = p**2 + 4*p - 3. Let h(v) = -a(v) + 12*y(v). Find c, given that h(c) = 0.
-111, 2
Let d = 314 - 312. Let r be -7 - (-20)/(d - 0). What is c in 0 + 27/5*c**5 + 48/5*c**r + 63/5*c**4 + 12/5*c**2 + 0*c = 0?
-1, -2/3, 0
Suppose 16/7*j + 12/7*j**5 - 16/7*j**4 - 388/7*j**3 - 480/7 + 856/7*j**2 = 0. What is j?
-6, -2/3, 1, 2, 5
Let s(o) = -31*o**4 - 48*o**3 + 769*o**2 - 54*o. Let t(i) = 16*i**4 + 23*i**3 - 384*i**2 + 24*i. Let r(j) = -4*s(j) - 9*t(j). Factor r(x).
-5*x**2*(x - 4)*(4*x + 19)
Let f(g) be the first derivative of 5*g**6/3 + 3*g**5 - 40*g**4 - 95*g**3 + 90*g**2 + 9488. Let f(p) = 0. What is p?
-3, 0, 1/2, 4
Let c(h) = -5*h**2 + 178*h + 883. Let m be c(40). Let d(p) be the first derivative of 27/5*p + 12/5*p**m - 1/2*p**4 + 1/25*p**5 + 8 - 27/5*p**2. Factor d(i).
(i - 3)**3*(i - 1)/5
Let i(x) be the first derivative of 5 + 0*x - 5/4*x**4 + 5/2*x**2 + 0*x**3. Factor i(t).
-5*t*(t - 1)*(t + 1)
Suppose -629 - 623 = -313*z. What is v in 9/10 + 11/5*v**2 + 4/5*v**3 + 12/5*v + 1/10*v**z = 0?
-3, -1
Let m(t) be the third derivative of t**8/63 + 2*t**7/15 + 41*t**6/90 + 37*t**5/45 + 5*t**4/6 + 4*t**3/9 + 5*t**2 - 287. Solve m(c) = 0 for c.
-2, -1, -1/4
Let b(p) be the first derivative of 25*p**6/6 + 37*p**5 + 130*p**4 + 680*p**3/3 + 200*p**2 + 80*p - 2104. Factor b(x).
5*(x + 1)*(x + 2)**3*(5*x + 2)
Let j be (-20)/14 + (-817)/(-133). Factor 12/7*f**2 - 9/7 - j*f.
3*(f - 3)*(4*f + 1)/7
Determine b so that 1/5*b**4 - 12/5*b**2 + 12/5*b**3 + 192/5 - 128/5*b = 0.
-12, -4, 2
Suppose -n - 28 = -4*r, 3*n + 32 - 39 = -r. Let j(a) be the third derivative of n*a**3 + 0*a + 1/150*a**5 + 0*a**4 + 0 - 11*a**2 + 3/200*a**6. Factor j(s).
s**2*(9*s + 2)/5
Let b(l) = -l**2 + 14*l - 6. Let c be b(12). Factor -c*f**3 - 50*f**2 - 25 + 5 - 15*f**4 + 13*f**4 - 54*f.
-2*(f + 1)**2*(f + 2)*(f + 5)
Let z(i) be the third derivative of -i**8/112 - 12*i**7/35 - 41*i**6/10 - 109*i**5/10 + 165*i**4/8 + 121*i**3 - 219*i**2. Find o, given that z(o) = 0.
-11, -2, -1, 1
Let c(i) be the first derivative of -i**5/40 + 13*i**4/8 - 491*i**3/12 + 1989*i**2/4 - 23409*i/8 + 1259. Determine b so that c(b) = 0.
9, 17
Let z(t) be the first derivative of t**5/110 + t**4/22 - 15*t**3/11 + 81*t**2/11 - 157*t + 70. Let r(j) be the first derivative of z(j