*4 - 4/9.
2*(s - 2)*(s + 1)**3/9
Let f(h) = 8*h**2 + 14*h - 24. Let z(w) = -w**2. Let o be (-8)/(-6)*132/(-88). Let j(x) = o*f(x) - 20*z(x). Factor j(t).
4*(t - 4)*(t - 3)
Let x be 3 - (-9)/((-243)/(-14478)). Let g = -539 + x. Find f, given that 2/3*f**3 + g*f**2 - 2/3*f - 2/9*f**4 + 0 = 0.
-1, 0, 1, 3
Let x(n) be the second derivative of n**3/3 - n**2 - 15*n. Let t be x(2). Factor 3*w**t + 1027*w**3 - 1027*w**3 - 3*w**4.
-3*w**2*(w - 1)*(w + 1)
Let -6159*p**3 + 2*p**5 + 239*p - 466*p**2 - 32*p**4 + 6389*p**3 - 5*p**4 - 9*p**4 - 136 + 177*p = 0. What is p?
1, 2, 17
Suppose -25*i + 226 + 124 = 0. Let -36 + 201*m**2 + 7*m + 2*m**4 - 175*m**2 - m - i*m**3 = 0. Calculate m.
-1, 2, 3
Let t(u) be the first derivative of 0*u + 33/2*u**2 + 29 - 1/60*u**5 - 1/12*u**4 + 0*u**3. Let q(w) be the second derivative of t(w). Factor q(p).
-p*(p + 2)
Let d(r) be the third derivative of 1/15*r**5 + 0 + 0*r - 42*r**2 + 1/360*r**6 + 7/24*r**4 + 5/9*r**3. Solve d(i) = 0 for i.
-10, -1
Suppose -8073*d - 273 - 91 + 620*d**3 + 28*d**3 - 237 + 48*d**4 - 413 - 15909*d**2 = 0. What is d?
-26, -1/4, 13
Let x(w) be the first derivative of -w**6/360 - w**5/60 + 73*w**3/3 - 20. Let g(v) be the third derivative of x(v). Factor g(j).
-j*(j + 2)
Let l(t) = 3*t**5 - 13*t**4 + 3*t**3 - 18*t**2 + 3*t + 5. Let a(y) = -y**5 + 6*y**4 + 8*y**2 - y - 2. Let n(q) = 5*a(q) + 2*l(q). Let n(i) = 0. What is i?
-1, 0
Let z(o) be the third derivative of -o**7/630 - o**6/60 + 19*o**5/180 + o**4/3 + 2*o**2 - 112*o. Factor z(y).
-y*(y - 3)*(y + 1)*(y + 8)/3
Let s(c) be the second derivative of c**5/30 - 3*c**4/4 + 145*c**2/2 - 12*c + 2. Let i(o) be the first derivative of s(o). Suppose i(n) = 0. What is n?
0, 9
Let c = 559 + -565. Let x be 6*(33/c)/(-11). Find g such that -1/3*g**4 + 0 - 8/3*g - 4*g**2 - 2*g**x = 0.
-2, 0
Suppose 172*v + 185 = 209*v. Let i(r) be the first derivative of 1 + 2/3*r**6 + 0*r**2 + 0*r**3 + r**4 - 8/5*r**v + 0*r. Let i(d) = 0. Calculate d.
0, 1
Let a(z) = 2*z**2 + 13*z - 5. Let g(f) = 2*f**2 + 14*f - 6. Let w be -1 - (2 - -27 - 0). Let x = 25 + w. Let i(v) = x*g(v) + 6*a(v). Factor i(l).
2*l*(l + 4)
Suppose -356*f**2 - 1947*f + 5317*f + 567845 + 361*f**2 = 0. What is f?
-337
Suppose -5*h = -9*h - 64. Let y = 15 - h. Factor 15 + 0*o - 5*o**2 + 10*o**2 - 6*o - 5*o**3 + y*o.
-5*(o - 3)*(o + 1)**2
Let r(n) be the third derivative of n**9/8820 - 19*n**8/47040 + n**7/3920 + 27*n**5/20 + 60*n**2. Let u(s) be the third derivative of r(s). Factor u(d).
3*d*(d - 1)*(16*d - 3)/7
Let y(w) be the third derivative of w**6/420 + w**5/70 - 2*w**4/7 + 4*w**3/3 + 25*w**2 - 6*w. Solve y(q) = 0.
-7, 2
Let k(y) be the second derivative of -9*y**6/50 - 2463*y**5/100 - 91*y**4/10 + 2796*y. Solve k(f) = 0 for f.
-91, -2/9, 0
Suppose 0 = 9051*g - 9074*g + 115. Factor 0 + 1/3*w**4 + g*w**2 + 3*w**3 + 7/3*w.
w*(w + 1)**2*(w + 7)/3
Let l = -22266 - -42906580/1927. Let x = 3872/17343 + l. Factor -4/9*p**3 + 8 + x*p**4 - 22/9*p**2 + 8/3*p.
2*(p - 3)**2*(p + 2)**2/9
Let t(w) be the second derivative of -w**4/16 + 3*w**3/4 + 21*w**2/8 - 12*w - 6. Factor t(m).
-3*(m - 7)*(m + 1)/4
Let v(t) = 42*t**4 + 64*t**3 - 95*t**2 + 17*t + 7. Let n(k) = -29*k**4 - 43*k**3 + 63*k**2 - 11*k - 5. Let l(d) = -7*n(d) - 5*v(d). Find g such that l(g) = 0.
-4, 0, 2/7, 1
Let d = -87/64 - -247/64. Let s(u) be the second derivative of 0 - 5/2*u**3 + 3*u - d*u**2 - 5/4*u**4 - 1/4*u**5. Determine x so that s(x) = 0.
-1
Let d = -14 + -5. Let y be d/(-7) + (92/28 - 3). Solve 6*v**4 - 5*v**3 - 6*v**2 + v**y + 37*v - 33*v = 0 for v.
-1, 0, 2/3, 1
Let p(x) be the second derivative of -5*x**4/12 + 115*x**3/3 + 735*x**2/2 - 216*x - 4. Find z such that p(z) = 0.
-3, 49
Let i(l) = -l**3 - 13*l**2 + 13*l - 9. Let y be i(-14). Let 9*r**2 + 12 - 3*r**3 + 7*r - 12 + y*r = 0. Calculate r.
-1, 0, 4
Let w = 413 + -350. Let u be ((-3)/w)/(4/(-12)). Let 3/7*j + 0 + u*j**2 = 0. What is j?
-3, 0
Let j(h) be the third derivative of -h**5/80 + 365*h**4/8 + 1461*h**3/8 + 4*h**2 - 750. Factor j(z).
-3*(z - 1461)*(z + 1)/4
Let f(d) = -20*d - 96. Let i be f(-5). Determine a, given that 0*a**4 + 4*a - 3*a**i - 3*a**3 - 2*a - 2*a + 3*a + 3*a**2 = 0.
-1, 0, 1
Determine h so that 214/15*h**2 - 1508/15*h - 8/15*h**3 + 338/5 = 0.
3/4, 13
Let m(u) = 13*u**2 + 2*u**2 - 25 - u - 58 - 38*u + 0*u**3 + u**3. Let t be m(-17). Factor 6/5 - 6/5*f**3 - 22/5*f**2 - t*f.
-2*(f + 1)*(f + 3)*(3*f - 1)/5
Let t(g) be the first derivative of -g**7/630 - 7*g**6/360 - 4*g**5/45 - g**4/6 + g**2 + 16*g - 4. Let m(r) be the second derivative of t(r). Solve m(z) = 0.
-3, -2, 0
Determine x, given that -4*x**4 - 240/7 - 8/7*x**3 + 76*x**2 - 688/7*x = 0.
-5, -2/7, 2, 3
Let w(o) = 3318*o + 23230. Let h be w(-7). Find d such that -4*d + 0 - 32/5*d**2 - 1/5*d**h - 13/5*d**3 = 0.
-10, -2, -1, 0
Let w(d) be the third derivative of -d**7/3780 - d**6/54 + 11*d**5/45 + d**4/6 + 19*d**3/6 - 294*d**2. Let f(s) be the second derivative of w(s). Factor f(r).
-2*(r - 2)*(r + 22)/3
Let f = -36710 - -36715. Let j(a) be the third derivative of -37*a**2 + 0 - 25/24*a**4 - 1/6*a**5 + f*a**3 + 0*a + 1/24*a**6. What is o in j(o) = 0?
-2, 1, 3
Let v be -2*433 - (30 + -12)/18. Let p be -2*2 - v/204. Determine d so that -p*d**4 + 0*d**2 + 1/4*d**3 + 0 + 0*d = 0.
0, 1
What is f in -379/3*f - 143641/6 - 1/6*f**2 = 0?
-379
Let w(z) = -z**2 + 3*z + 27. Let j be w(0). Suppose 2*g - 2*r = -31 + 79, 2*g + 5*r - 34 = 0. Factor 5*h**5 - j - 10*h**3 + 10*h**2 + 7*h - 2*h + g - 5*h**4.
5*(h - 1)**3*(h + 1)**2
Let y(u) = -2*u**4 - 150*u**3 + 158*u**2 + 150*u - 154. Let t(w) = -w**4 + w**3 - w**2 - w + 1. Let p(c) = -2*t(c) - y(c). Factor p(h).
4*(h - 1)**2*(h + 1)*(h + 38)
Let p(d) be the second derivative of -2*d**6/15 + 3*d**5/5 + 11*d**4/3 - 2*d**3 - 20*d**2 - 1532*d. What is z in p(z) = 0?
-2, -1, 1, 5
Let y(m) be the first derivative of 2*m**2 - 1/6*m**6 - 48 - 4/5*m**5 - 3/4*m**4 + 0*m + 4/3*m**3. Factor y(j).
-j*(j - 1)*(j + 1)*(j + 2)**2
Let y(q) be the first derivative of -2*q**5/35 - 80*q**4/7 - 1256*q**3/21 - 624*q**2/7 + 1974. Factor y(c).
-2*c*(c + 2)**2*(c + 156)/7
Let x(u) be the second derivative of 3/5*u**2 + 1/6*u**3 + 1 - 27*u - 1/15*u**4. Suppose x(d) = 0. Calculate d.
-3/4, 2
Suppose 67*h + 234*h - 602 = 0. Factor -4/7*o**4 - 8/7*o**3 + 8/7*o + 4/7*o**h + 0.
-4*o*(o - 1)*(o + 1)*(o + 2)/7
Let a be (9/6)/(15/40). Suppose 0 = -t + 6*g - g + 30, -5 = 3*t + a*g. Solve t*n**2 - 7*n + 80 - 46*n + 13*n = 0.
4
Let r(u) be the third derivative of 0 - 1/126*u**5 + 0*u**3 + 147*u**2 + 0*u - 1/126*u**4 + 2/2205*u**7 - 1/1260*u**6. What is h in r(h) = 0?
-1, -1/2, 0, 2
Let u = -563 - -565. Factor 329*y**u + 2 - 68*y**3 - 365*y**2 + 4*y**5 - 28*y**4 - 2.
4*y**2*(y - 9)*(y + 1)**2
Let m = -13279 + 13281. Let u(c) be the second derivative of 0*c**3 + 4*c + 1/21*c**4 + 3/70*c**5 + 0 - 1/147*c**7 + 0*c**m + 0*c**6. Factor u(l).
-2*l**2*(l - 2)*(l + 1)**2/7
Let n(m) be the second derivative of -m**9/3024 + m**8/560 + 3*m**7/280 + m**6/72 - 47*m**3/3 + 20*m. Let b(w) be the second derivative of n(w). Factor b(u).
-u**2*(u - 5)*(u + 1)**2
Let o be -3 - ((-18)/4 - (60/(-8) - -6)). Let c(s) be the third derivative of 1/3*s**3 + o*s - 1/30*s**5 - s**2 + 0 + 0*s**4. Find p, given that c(p) = 0.
-1, 1
Let y(u) be the third derivative of u**7/840 + 47*u**6/80 + 1117*u**5/240 + 29*u**4/2 + 139*u**3/6 + 2*u**2 - 3421*u - 2. Factor y(v).
(v + 1)**2*(v + 2)*(v + 278)/4
Let x be (-2)/7 + (-115)/(-35) + 5. Suppose k - 10 = -6. Let -6*l**2 + 3*l**5 + x*l + 2*l**2 + 8*l**5 - 24*l**3 - k*l**4 - 3*l**5 = 0. Calculate l.
-1, 0, 1/2, 2
Let j(r) = 188*r**2 + 2588*r + 57. Let k(z) = 949*z**2 + 12939*z + 286. Let y(l) = -14*j(l) + 3*k(l). Factor y(o).
5*(o + 12)*(43*o + 1)
Let d(c) be the second derivative of -c**3/3 - 2*c**2 + 7*c. Let q be d(-3). Factor 5*y**4 + 17*y**2 - 42*y**2 + 20*y**q.
5*y**2*(y - 1)*(y + 1)
Let x(o) = -2*o**3 - 51*o**2 - 72*o - 12. Let a be x(-24). Let c be -16 - -26 - (-114)/a. Factor 3/2*h**3 - c*h**2 + 0 + 1/2*h**4 - 3/2*h.
h*(h - 1)*(h + 1)*(h + 3)/2
Let z(x) be the first derivative of 4/5*x**5 + 24*x**4 + 0*x + 0*x**2 + 192*x**3 - 102. Find b, given that z(b) = 0.
-12, 0
Let u(o) = 14*o**4 + 40*o**3 + 42*o**2 - 35*o - 31. Let v(i) = -6*i**4 - 20*i**3 - 20*i**2 + 18*i + 16. Let n(y) = -2*u(y) - 5*v(y).