 5*t**2 - 20*t - 17 - 12.
5*(t - 2)*(t + 1)*(t + 2)
Let z(y) be the first derivative of 5 + 4/51*y**3 - 6/85*y**5 + 2/17*y + 1/51*y**6 - 3/17*y**2 + 1/17*y**4. Suppose z(p) = 0. Calculate p.
-1, 1
Let f(z) be the second derivative of -z**5/5 + z**4 - 2*z**3 + 2*z**2 + 11*z. Factor f(h).
-4*(h - 1)**3
Determine w, given that 2/9*w**5 - 742586/9 - 43940/9*w**2 + 285610/9*w - 130/9*w**4 + 3380/9*w**3 = 0.
13
Let i(y) = y**3 + 5*y**2 + 4*y + 3. Let n be i(-4). Factor -1/2*j**2 - 1/2*j**n + 1/2 + 1/2*j.
-(j - 1)*(j + 1)**2/2
Suppose v = 6*v + 80. Let n be (1/6)/(v/(-72)). Factor 1/4*a**4 + 3/4*a - n*a**3 + 1/4*a**2 - 1/2.
(a - 2)*(a - 1)**2*(a + 1)/4
Let x be 27/6*(-3)/(-27). Factor -x*u**2 + 0*u + 1/2.
-(u - 1)*(u + 1)/2
Let d(l) = 3*l**3 - 21*l**2 - 9*l. Let z(k) = -k**3 + 5*k**2 + 2*k. Let c(b) = -2*d(b) - 9*z(b). Factor c(u).
3*u**2*(u - 1)
Suppose -4*o = -0*o. Suppose 3*h - h - 2*u + 2 = o, 0 = -h - u + 1. Factor -w**4 + w**3 + 0*w**3 - w**5 + w**2 + h*w**2.
-w**2*(w - 1)*(w + 1)**2
Let k(y) be the second derivative of 1/63*y**7 + 0 + 1/45*y**6 + 3*y - 1/15*y**5 + 1/3*y**2 + 1/9*y**3 - 1/9*y**4. Factor k(x).
2*(x - 1)**2*(x + 1)**3/3
Let y(h) be the third derivative of h**5/60 - h**4/6 + 2*h**3/3 + 36*h**2. Suppose y(i) = 0. What is i?
2
Suppose 4 + 0*s + 10*s**2 - s + 17*s + 4 + 2*s**3 = 0. Calculate s.
-2, -1
Let p be (-26)/(-12) + (-3)/(-6). Suppose 0 = -320*y + 316*y + 8. Factor p + 8/3*h + 2/3*h**y.
2*(h + 2)**2/3
Let h be 1 + (12/(-16))/1. Factor 1/2*x + 0 - h*x**2.
-x*(x - 2)/4
Let z(p) be the third derivative of 1/1155*p**7 + 2*p**2 + 1/660*p**6 + 0*p**4 - 1/330*p**5 + 0*p + 0 + 0*p**3 - 1/1848*p**8. Solve z(w) = 0 for w.
-1, 0, 1
Factor 6/7*o - 8/7 + 2/7*o**2.
2*(o - 1)*(o + 4)/7
Let k(t) be the first derivative of 2*t**4 - 77/20*t**5 - 1 + 0*t + 0*t**2 - 1/3*t**3 + 49/24*t**6. Suppose k(x) = 0. What is x?
0, 2/7, 1
Let x(p) be the second derivative of p**5/45 - 2*p**4/27 + 2*p**3/27 - 4*p. What is l in x(l) = 0?
0, 1
Let a = 30 + -19. Suppose a = 3*l - 1. Let -2/5*r**3 + 0*r - 2/5*r**5 - 4/5*r**l + 0*r**2 + 0 = 0. Calculate r.
-1, 0
Suppose 5*i = i - 16. Let h be (-1 - i) + (-15)/6. Factor 1/4 + 1/4*c**2 + h*c.
(c + 1)**2/4
Let l(b) be the first derivative of -1/3*b**2 - 2/9*b**3 - 5 + 1/6*b**4 + 2/3*b. Determine o, given that l(o) = 0.
-1, 1
Let r(q) be the first derivative of 2*q**3/3 - 8*q**2 + 32*q + 12. Find m, given that r(m) = 0.
4
Let v be 5/(15/(-12)) + 6. Let d(b) be the second derivative of 0*b**3 + 3*b + 0*b**v + 0 - 1/30*b**6 - 1/12*b**4 + 1/10*b**5. Factor d(x).
-x**2*(x - 1)**2
Let m(d) be the first derivative of 1/6*d**2 + 0*d + 2 - 1/9*d**3. Factor m(l).
-l*(l - 1)/3
Let r(b) be the first derivative of -1/6*b**3 - 4 + 0*b + 1/4*b**2. Factor r(j).
-j*(j - 1)/2
Suppose -5*b - 1 = -6*b, h = -3*b + 3. Let y be (-4)/(-6)*(-2)/(-4). Factor -y*c**2 + 0*c + 0*c**3 + h + 1/3*c**4.
c**2*(c - 1)*(c + 1)/3
Let a(v) = -6*v**3 - 5*v**2 + 6*v + 5. Let i(s) = -3*s**3 - 3*s**2 + 3*s + 3. Let p(c) = -3*a(c) + 5*i(c). Find x, given that p(x) = 0.
-1, 0, 1
Let p be 7/(98/35)*4/10. Let n(t) be the first derivative of -243/4*t**4 - 60*t**2 - 117*t**3 - 12*t - p. Suppose n(i) = 0. Calculate i.
-1, -2/9
Suppose -2*w + q = -10, 4*w - 10*q = -15*q + 20. Factor 9*t**2 + 13/2*t**4 + 11*t**3 + 7/2*t + 3/2*t**w + 1/2.
(t + 1)**4*(3*t + 1)/2
Let f = -139 + 141. Let 4/9 - 10/9*i - 14/9*i**f = 0. Calculate i.
-1, 2/7
Let g = 19 - 23. Let w(o) = -6*o**3 - 4*o**2 + 2*o - 2. Let m(r) = r**4 + 25*r**3 + 17*r**2 - 7*r + 9. Let l(a) = g*m(a) - 18*w(a). Factor l(x).
-4*x*(x - 2)*(x - 1)*(x + 1)
Let k be 12/20 - 2/(-5). Suppose 4*a**2 + 1 + 0*a**2 + 2*a**3 - k = 0. Calculate a.
-2, 0
Let v(t) be the second derivative of 2/75*t**6 + 0 + 1/105*t**7 - 3/50*t**5 - t - 2/15*t**4 + 4/15*t**3 + 0*t**2. Factor v(c).
2*c*(c - 1)**2*(c + 2)**2/5
Let z(k) = -k**3 - 4*k**2 - 2*k - 6. Let p be z(-4). Suppose -h + 2*h - 9 = 0. Factor -8*q**3 - 7*q**2 - p + 4*q**2 - 8*q - 2*q**4 - h*q**2.
-2*(q + 1)**4
Let p(t) be the first derivative of -t**6/90 + t**4/18 - t**2/6 - 2*t - 5. Let r(l) be the first derivative of p(l). Solve r(i) = 0 for i.
-1, 1
Let c(p) be the third derivative of p**8/336 - p**7/35 + p**6/15 + p**5/30 - 3*p**4/8 + 2*p**3/3 - 9*p**2. Factor c(u).
(u - 4)*(u - 1)**3*(u + 1)
Factor 6/7*m**3 + 2/7*m**2 - 10/7*m**4 + 4/7*m**5 + 0 - 2/7*m.
2*m*(m - 1)**3*(2*m + 1)/7
Let i be 6/27 + (-183)/(-27) + -3. Let l(k) be the second derivative of 1/36*k**i + 3*k + 0*k**2 + 0 + 1/20*k**5 + 1/30*k**6 + 1/126*k**7 + 0*k**3. Factor l(a).
a**2*(a + 1)**3/3
Let k(p) = 2*p**4 + 4*p**3 + 2*p**2 - 4*p - 4. Let m(h) = -3*h**4 - 4*h**3 - h**2 + 3*h + 3. Let c(g) = -5*k(g) - 4*m(g). Factor c(z).
2*(z - 2)**2*(z + 1)**2
Let z(s) be the third derivative of -s**5/540 - s**4/54 - 2*s**3/27 - 7*s**2. Determine g, given that z(g) = 0.
-2
Let j be (-4)/6*15/(-2). Suppose 0 = -0*b - 5*b - 25, -j*b - 25 = -4*c. Find o such that 2/7*o**2 + c - 2/7*o = 0.
0, 1
Let i be 5*(-3 + 26/10). Let d be ((-16)/(-6) + i)*6. Factor -2/7*n**5 + 0*n**d + 2/7*n**3 + 0*n + 0*n**2 + 0.
-2*n**3*(n - 1)*(n + 1)/7
Let -3 - 4*a**3 + 1 + 3 + 6*a**2 - 4*a + a**4 = 0. What is a?
1
Find q such that -9/5 + 6/5*q - 1/5*q**2 = 0.
3
Let v(z) be the first derivative of z**7/5460 + z**6/585 + z**5/156 + z**4/78 + z**3/3 - 2. Let s(j) be the third derivative of v(j). Let s(o) = 0. What is o?
-2, -1
Let t(c) = -c**2 - 5*c - 4. Let h be t(-5). Let b = 6 + h. Find z, given that z**3 - b*z**3 + 0*z**4 + z**4 = 0.
0, 1
Let m be 5 + -3 + (2 - 4). Suppose m = 3*k + 1 - 7. Factor -4 - d**k - 3*d - 3*d + d**2 - 2*d**2.
-2*(d + 1)*(d + 2)
Let r(f) be the third derivative of -f**5/330 + 4*f**3/33 - 12*f**2. Determine u, given that r(u) = 0.
-2, 2
Let d be (-3 - 3)/((-4)/2). Factor 2*t**d + 3*t**3 + 0*t + 0 + 3*t**2 + 2*t**4 - t - 1.
(t + 1)**3*(2*t - 1)
Let p(o) be the second derivative of o**8/23520 + o**7/1470 + o**6/280 + 5*o**4/6 - 4*o. Let b(f) be the third derivative of p(f). Factor b(y).
2*y*(y + 3)**2/7
Let u(r) be the second derivative of r**4/12 - 2*r**3/3 + 2*r**2 + 7*r. Factor u(g).
(g - 2)**2
Solve -1/3*s**2 - 1/3*s**5 + 1/3*s**4 - 2/3*s + s**3 + 0 = 0 for s.
-1, 0, 1, 2
Let -28*m**2 - 10*m - 17 + 27*m**2 + 2*m + 1 = 0. What is m?
-4
Let n be (35/(-84) - -1) + (-1)/3. Factor -1/2*s + 1/4*s**2 + n.
(s - 1)**2/4
Factor -3/4*b + 9/4*b**2 - 3/2*b**3 + 0.
-3*b*(b - 1)*(2*b - 1)/4
Let t = -779/10 - -78. Let y(a) be the second derivative of 2*a - 3/10*a**6 + 1/6*a**7 + t*a**5 + 0*a**4 + 0*a**3 + 0 + 0*a**2. Factor y(k).
k**3*(k - 1)*(7*k - 2)
Let d = -640 - -640. What is o in 0 - 2/5*o**2 - 2/5*o**4 + d*o + 4/5*o**3 = 0?
0, 1
Factor -162*w - w**2 - 108 - 5*w - 74*w**2 - 13*w.
-3*(5*w + 6)**2
Let w be (2/75)/(5/25). Let l(i) be the third derivative of 0*i + 0 + 1/150*i**5 - 2*i**2 - 1/20*i**4 + w*i**3. Factor l(s).
2*(s - 2)*(s - 1)/5
Suppose -3*q = 3*x + 681, -4*x - 4*q - 224 = -3*x. Let k be -4 + 1 - x/60. Let 0 - k*r - 2/5*r**2 = 0. What is r?
-2, 0
Factor -2/3*x**3 + 2/3*x + 2/3 - 2/3*x**2.
-2*(x - 1)*(x + 1)**2/3
Let i(x) be the third derivative of x**6/660 - x**5/66 + 2*x**4/33 - 4*x**3/33 + 19*x**2. Factor i(v).
2*(v - 2)**2*(v - 1)/11
Let o(y) be the third derivative of -y**7/70 - y**6/8 - 2*y**5/5 - y**4/2 + 5*y**2. Factor o(t).
-3*t*(t + 1)*(t + 2)**2
Let w(o) be the second derivative of -1/3*o**4 + 0 + 2*o**2 + 0*o**3 + 8*o. Find a such that w(a) = 0.
-1, 1
Let y(l) be the third derivative of 0 + 1/30*l**5 - 1/12*l**4 + 3*l**2 - 1/3*l**3 + 1/60*l**6 + 0*l. Solve y(h) = 0.
-1, 1
Let r(v) = -6*v**2 + 13*v. Let m(h) = -3*h**2 + 7*h. Let j(z) = 11*m(z) - 6*r(z). Let n be j(1). Factor -1/3*g**4 + 0*g + 0*g**3 + 1/3*g**n + 0.
-g**2*(g - 1)*(g + 1)/3
Let u(b) be the third derivative of 1/16*b**4 + 0 + 0*b - 1/8*b**3 - 1/80*b**5 + b**2. What is z in u(z) = 0?
1
Let g(f) be the first derivative of 8*f**2 - 4/3*f**3 - 8 - 16*f. Find t, given that g(t) = 0.
2
Let u(i) be the first derivative of i**4/2 + 2*i**3/3 + i**2 - i - 5. Let y(o) = o**3 - o**2 - 1. Let c(g) = -u(g) + y(g). Solve c(k) = 0 for k.
-2, -1, 0
Suppose 10 = 5*l - 0*l. Let s(u) be the second derivative of -1/18*u**4 + 0 + 0*u**2 - l*u + 0*u**3 + 1/60*u**5. Factor s(p).
p**2*(p - 2)/3
Let l be (1/(-7))/(5/(-10)). Find o such that -2/7*o**2 + l + 0*o = 0.
-1, 1
