*3 + 1/14*b**4. Solve u(w) = 0 for w.
-2, -1
Let j(v) = 155*v**2 - 2325*v + 18005. Let p(k) = -11*k**2 + 166*k - 1286. Let a(b) = -6*j(b) - 85*p(b). Factor a(s).
5*(s - 16)**2
Let n(r) be the second derivative of -3*r**5/20 - 17*r**4/4 - 8*r**3 + 68*r + 4. Solve n(y) = 0 for y.
-16, -1, 0
Let f be ((-150)/45)/(45/(-6)). Let j(c) be the second derivative of f*c**3 + 0 + 8/3*c**2 + 1/36*c**4 + 7*c. Factor j(s).
(s + 4)**2/3
Let y(t) be the third derivative of -16*t**2 - 1/80*t**5 + 1/16*t**4 + 0*t + 0 + 0*t**3. Find s, given that y(s) = 0.
0, 2
Let o be (1/3)/((-15)/(-270)). What is w in 81*w**5 - 4*w**4 + o*w**3 - 83*w**5 - 2*w - 2*w**4 + 5*w**4 - w**2 = 0?
-2, -1/2, 0, 1
Factor 363/5 - 17*m**2 + 418/5*m + 4/5*m**3.
(m - 11)**2*(4*m + 3)/5
Let w = 986 + -984. Find f, given that f**w - 1/4 - 3/4*f = 0.
-1/4, 1
Let d(i) be the third derivative of 0*i + 1/14*i**4 + 10*i**2 + 0 + 1/210*i**5 - 1/3*i**3. Factor d(u).
2*(u - 1)*(u + 7)/7
Let s(m) be the third derivative of m**6/120 + 11*m**5/240 + 5*m**4/96 - m**3/12 - 19*m**2. Solve s(c) = 0 for c.
-2, -1, 1/4
Suppose 126 = 34*k - 10. Let q(c) be the first derivative of -2/3*c + 2/15*c**5 + 2/3*c**2 - 1/3*c**k + 5 + 0*c**3. Let q(b) = 0. Calculate b.
-1, 1
Factor -4*i - 2/3*i**2 - 6.
-2*(i + 3)**2/3
Let t(s) be the third derivative of -s**7/42 + 9*s**6/40 - 5*s**5/6 + 3*s**4/2 - 4*s**3/3 + 50*s**2 + 2. Factor t(x).
-(x - 2)**2*(x - 1)*(5*x - 2)
Let h(a) = 4*a**2 + 2*a - 2. Let v be h(1). Factor 2*n**2 + 4*n - n + v + 2*n + n.
2*(n + 1)*(n + 2)
Let z be (18/(-24))/((-9)/(-24)*-1). Let 4*j**z + 56*j - 73 - 123 - 8*j**2 = 0. Calculate j.
7
Let j = -210 - 20. Let c be j/(-736)*(11 - (1 + 0)). Suppose -5/4*s + c + 1/8*s**2 = 0. Calculate s.
5
Suppose -31*s - 60 = -51*s. Solve -1/4*r**2 + 1/4 + 1/4*r**s - 1/4*r = 0 for r.
-1, 1
Let d(a) = a**2 + 9*a + 10. Let c(f) = 4*f + 4. Let z be c(-3). Let m be d(z). Factor 2*u**3 - 5*u**3 + 9 + 21*u**m + 0*u**3 - 6*u**2 - 21*u.
-3*(u - 3)*(u - 1)**2
Suppose 3*k + 2*v - 16 = 0, -2*k - 7*v = -2*v - 29. Determine i, given that 2*i - 4*i**k - 6 + 22 - 14*i = 0.
-4, 1
Let i(h) be the third derivative of h**7/1890 - h**6/90 + h**5/135 + 8*h**4/9 + 128*h**3/27 + 330*h**2 - 1. Factor i(l).
(l - 8)**2*(l + 2)**2/9
Let w = -691 - -693. Let c(d) = d**3 - 4*d**2 - 5*d + 4. Let v be c(5). Factor 1/5*u**w + 0*u - 1/5*u**v + 0 + 0*u**3.
-u**2*(u - 1)*(u + 1)/5
Determine j so that -3*j + 3/7*j**2 + 3*j**3 + 0 - 3/7*j**4 = 0.
-1, 0, 1, 7
Let u(a) be the third derivative of -a**5/60 + a**4/4 + 154*a**2. Factor u(y).
-y*(y - 6)
Find n such that -191*n**2 + 4*n - 4*n**3 + n**4 - 3 - 193*n**2 + 386*n**2 = 0.
-1, 1, 3
Let n be (-4 - 30/(-12))/(10/((-180)/63)). Factor 0*b**2 - 3/7*b**3 + 0 + n*b.
-3*b*(b - 1)*(b + 1)/7
Let i be (-13)/14*2*(448 + 1). Let y = 839 + i. Suppose -4*d**2 + 4/7*d**3 + 60/7*d - y = 0. What is d?
1, 3
Solve -3/2 + 19/2*o - 3*o**2 = 0.
1/6, 3
Let w(t) be the first derivative of 4*t**3/3 + 544*t**2 + 73984*t + 393. Factor w(x).
4*(x + 136)**2
Let c(b) be the first derivative of b**6/6 - 13*b**5/5 - 15*b**4/2 - 2*b**3/3 + 29*b**2/2 + 15*b - 25. Factor c(v).
(v - 15)*(v - 1)*(v + 1)**3
Let w(q) be the third derivative of q**5/390 - q**4/13 + 11*q**3/39 + 144*q**2. Factor w(d).
2*(d - 11)*(d - 1)/13
Let h(q) be the first derivative of -q**6/3 + 4*q**5/5 - q**4/2 - 441. Determine p, given that h(p) = 0.
0, 1
Suppose 13/4*b**2 - 1/2*b**3 - 5/2*b - 1/4*b**4 + 0 = 0. What is b?
-5, 0, 1, 2
Let v(b) be the second derivative of b**7/210 - b**6/45 - b**5/10 - 19*b**3/6 + b. Let r(x) be the second derivative of v(x). Suppose r(z) = 0. What is z?
-1, 0, 3
Let s(m) = -5*m + 20. Let b be s(4). Let o be (4 - 248/60) + 4/30. Factor b*y**2 + o*y**3 + 0 + 0*y - 2/9*y**4.
-2*y**4/9
Let l(y) be the first derivative of -6*y**4 + 36*y**3 + 117*y**2/4 + 15*y/2 - 129. Determine x so that l(x) = 0.
-1/4, 5
Let x(g) be the third derivative of -1/5*g**6 + 1/84*g**8 + 5/6*g**4 - 2/105*g**7 + 2*g**3 + 0*g + 0 - 2/15*g**5 + 13*g**2. Factor x(t).
4*(t - 3)*(t - 1)*(t + 1)**3
Factor 15 - 42*a**4 + 22*a**4 + 4 + 21*a - 21*a**3 + 23*a**4 + 5 - 27*a**2.
3*(a - 8)*(a - 1)*(a + 1)**2
Let y(x) = -x**2 - 31*x + 24. Let m(l) = -7*l - 7. Let t be m(-3). Let i(v) = -10*v + 8. Let n(b) = t*i(b) - 4*y(b). Let n(c) = 0. What is c?
2
Let z be 144/(-27) + 4 - (2 - 4). Let y(v) be the first derivative of 8/5*v + 8/5*v**2 + 1/10*v**4 - 3 + z*v**3. Solve y(f) = 0.
-2, -1
Let x(f) be the second derivative of 14/5*f**2 + 13*f + 0 - 7/30*f**4 + 47/15*f**3. Find j, given that x(j) = 0.
-2/7, 7
Let q = 52066/5 + -10413. Factor 1/5*u**3 - 1/5 - 1/5*u + q*u**2.
(u - 1)*(u + 1)**2/5
Let r = 13 + 87. Suppose -i - r = -5*i. Factor b**5 + 60*b**3 + 28*b**4 + 11*b**2 + 3*b**5 + i*b**2.
4*b**2*(b + 1)*(b + 3)**2
Let n(o) = -2*o**3 + 4*o**2 + 4*o - 8. Let b(y) = -y**2 + y - 1. Let f be 8/6 + (-6)/(-9). Let q(p) = f*n(p) - 4*b(p). Suppose q(w) = 0. Calculate w.
-1, 1, 3
Let o(a) be the first derivative of -2*a**3/39 - 300*a**2/13 - 45000*a/13 - 399. Factor o(z).
-2*(z + 150)**2/13
Let x(o) = o**3 + 14*o**2 + 34*o - 80. Let y be x(-6). What is i in -4*i**3 + 4*i + 4/5 - 9/5*i**y + i**2 = 0?
-2, -1, -2/9, 1
Let o be (-8)/1 + (-10 - (450/(-54) + -11)). Solve -o*q - 4 + 1/3*q**2 = 0.
-2, 6
Factor -9/5 - 6*v**2 + 28/5*v + 12/5*v**3 - 1/5*v**4.
-(v - 9)*(v - 1)**3/5
Suppose -6*j + 49 = -3*j + 2*g, 0 = g - 2. Solve -3*h**3 - 302*h + 302*h + j*h**4 - 3*h**3 = 0 for h.
0, 2/5
Let a(v) be the first derivative of 1/7*v**2 + 2 - 2/21*v**3 + 4/7*v. Factor a(y).
-2*(y - 2)*(y + 1)/7
Let i = 1839 + -3675/2. Factor -3/2*j**2 + i*j**4 + 0 + j**3 - j.
j*(j - 1)*(j + 1)*(3*j + 2)/2
Let c(a) be the third derivative of -a**2 + 1/6*a**5 - 13/12*a**4 + 0*a - 2*a**3 + 0. Factor c(u).
2*(u - 3)*(5*u + 2)
Let o be (1 - (-3)/(-9))*3. Factor -2 - 7 + 5 + 5*j**o - 1.
5*(j - 1)*(j + 1)
Factor 50/3*h**2 + 2/3*h**3 + 242 + 374/3*h.
2*(h + 3)*(h + 11)**2/3
Let a(k) be the third derivative of -27*k**7/35 - 33*k**6/10 - 38*k**5/15 - 2*k**4/3 + 290*k**2. Factor a(v).
-2*v*(v + 2)*(9*v + 2)**2
Let s(k) be the second derivative of 2*k**6/15 - 38*k**5/5 - 40*k**4 - 244*k**3/3 - 82*k**2 - 6*k - 46. Let s(y) = 0. Calculate y.
-1, 41
Let l be (-841)/58 + (1 - -7) + 7. Solve 1/2 + k + l*k**2 = 0 for k.
-1
Let u(p) be the third derivative of -p**5/160 + 145*p**4/32 - 21025*p**3/16 + 43*p**2. What is x in u(x) = 0?
145
Suppose 2*u - 2*l - 21 = -l, -3*u - 3*l = -18. Suppose 5*s + 10 - 25 = 0. Find y, given that -36*y**3 + 21*y**4 + 8*y + 2*y - s*y - y + u*y**2 = 0.
-2/7, 0, 1
Suppose 0 = -9*f + 6*f + 2*s + 8, 0 = -s + 5. Let t(j) be the first derivative of -1/6*j**f + 2/9*j**3 + 8/15*j**5 + 0*j**2 - 4 - 7/12*j**4 + 0*j. Factor t(r).
-r**2*(r - 1)**2*(3*r - 2)/3
Let x(i) be the second derivative of -i**7/378 + i**6/270 + i**5/90 + 122*i. Let x(h) = 0. Calculate h.
-1, 0, 2
Suppose -d + 5 - 3 = 0. Determine p so that 23*p**d - 27*p**2 - p - 3*p = 0.
-1, 0
Factor 11*j**2 - 68 - 3*j**3 + 77 - 18*j + j**3.
-(j - 3)*(j - 1)*(2*j - 3)
Let v(b) be the second derivative of b**4/15 + 4*b**3/5 - 224*b**2/5 - 631*b - 2. Find m such that v(m) = 0.
-14, 8
Suppose -10 = -0*g - 2*g. Factor h**5 + 0*h**g + 2*h**3 - 6*h**3 + 3*h**5.
4*h**3*(h - 1)*(h + 1)
Let w(t) be the third derivative of -t**7/70 + 29*t**6/60 - 79*t**5/15 + 57*t**4/4 - 27*t**3/2 - 4*t**2 + 8. Let w(f) = 0. Calculate f.
1/3, 1, 9
Let d be 6 + (-160)/25 - 92/(-5). Factor 55*j**2 - 7*j**3 + 10*j**3 - d*j**3 + 20*j.
-5*j*(j - 4)*(3*j + 1)
Suppose -3 = 4*x + 1. Let r be (-18)/6 + (-7)/x. Suppose -11*v**4 - 16*v**2 + 4*v**5 + v - 5*v**r + 3*v + 24*v**3 = 0. What is v?
0, 1
Let a(n) be the second derivative of 5*n - 3 + 11/36*n**3 + 0*n**2 - 1/72*n**4. Find d, given that a(d) = 0.
0, 11
Let r(g) = g**2 - 2*g - 11. Let y(p) = 2*p**2 - 4*p - 23. Let t(i) = -13*r(i) + 6*y(i). Let s(h) = -h**2 + h + 4. Let o(j) = -5*s(j) + 4*t(j). Factor o(d).
d*(d + 3)
Suppose 7*s - 100 - 75 = 0. Let b be ((-10)/s)/((-1)/5*1). Let 0*x - 1/5*x**b + 1/5 = 0. What is x?
-1, 1
Let s(a) be the third derivative of -a**6/140 + a**5/105 - a**4/252 + 2*a**2 - 68*a. Factor s(j).
-2*j*(3*j - 1)**2/21
Suppose -7*k + 28 - 26 = -19. Solve -2 + 5/3*m**k + 23/3*m - 22/3*m**2 = 0.
2/5, 1, 3
Find s such that 2 + 199*s**3 - 126*s**3 - 30*s**2 - 3*s - 148*s**3 - 2 