*j**3 - 18*j**2 - j + 5. Let a(i) = 5*m(i) - 6*p(i). Factor a(x).
-2*x*(x - 2)*(4*x - 1)
Let v(c) = 3*c**2 + 17*c + 12. Let b be v(-5). Let w(d) be the first derivative of 3/5*d**5 + 3*d + 1/2*d**6 + 2 - 2*d**3 - 3/2*d**4 + 3/2*d**b. Factor w(s).
3*(s - 1)**2*(s + 1)**3
Let s(m) be the third derivative of 0 - 8*m**2 - 7/150*m**5 - 1/75*m**6 - 1/30*m**4 + 0*m + 1/15*m**3. Determine z so that s(z) = 0.
-1, 1/4
Let k = 675 + -675. Let o(s) be the third derivative of 0 - 1/150*s**5 + 4*s**2 + 0*s**3 + k*s - 1/60*s**4. Factor o(d).
-2*d*(d + 1)/5
Let l(x) be the second derivative of -3*x**6/10 + 3*x**5/5 + x**4/2 - 2*x**3 + 3*x**2/2 - 206*x. Determine y, given that l(y) = 0.
-1, 1/3, 1
Let j = 1063179/17 + -62539. Solve -6/17 + 6/17*v**2 + j*v = 0 for v.
-3, 1/3
Let s be ((-5)/(-3))/((-15)/(-18)). Let 54*j**2 - s*j + 0*j - 52*j**2 = 0. What is j?
0, 1
Let v = 12488/475 - 498/19. Let t(z) be the first derivative of 0*z**4 - 1/30*z**6 - 2/15*z**3 + 0*z + 1/10*z**2 + v*z**5 + 11. Factor t(j).
-j*(j - 1)**3*(j + 1)/5
Let y(v) be the first derivative of -15*v**4/4 + 2*v**3/3 + 3*v**2/2 + 2*v + 2. Let p be y(-1). Factor -9*f**2 - 8*f**3 - p + 19 + 2*f**3.
-3*(f + 1)**2*(2*f - 1)
Suppose 3/2*a**4 - 17/2*a**2 - 4*a + 11*a**3 + 0 = 0. Calculate a.
-8, -1/3, 0, 1
Let k be (-135)/(-2)*((-2668)/115)/(-29). Factor -12*q + 2/3*q**2 + k.
2*(q - 9)**2/3
Find c, given that 4/7*c**2 - 144/7 - 20*c = 0.
-1, 36
Let w(n) be the second derivative of -9*n**7/7 - n**6 + 178*n**5/15 + 88*n**4/9 - 128*n**3/9 + 16*n**2/3 - 403*n. Find u such that w(u) = 0.
-2, -1, 2/9, 2
Let w = 1884 + -5644/3. Suppose 4/3*p**4 + 0 - 4/3*p**2 - w*p + 8/3*p**3 = 0. What is p?
-2, -1, 0, 1
Let b = -156 - -152. Let l be (-30)/48*b + -2. Suppose o**3 - 1/2*o**4 - 1/2*o - l*o**5 + o**2 - 1/2 = 0. Calculate o.
-1, 1
Let n(l) be the first derivative of 5/4*l**4 + 5*l**2 + 0*l - 10 - 5*l**3. Find w, given that n(w) = 0.
0, 1, 2
Let m(j) be the second derivative of j**7/2520 + j**6/180 + j**5/30 + j**4/4 - 3*j. Let y(f) be the third derivative of m(f). Factor y(s).
(s + 2)**2
Suppose 8*h - 21*h = 7*h. Factor h - 2/7*a**2 + 0*a.
-2*a**2/7
Let w(i) be the first derivative of i**3 + 33*i**2 + 120*i - 175. Determine s, given that w(s) = 0.
-20, -2
Suppose 21*g - 8 = 17*g. Suppose 2*i**g + 24*i - 8*i - 4*i - 2*i**3 = 0. What is i?
-2, 0, 3
Let f(n) be the first derivative of 56/9*n**3 - 18/5*n**5 + 3*n**4 + 6 + 8/3*n**2 + 0*n - 3*n**6. Find y such that f(y) = 0.
-2/3, 0, 1
Factor -30*d**2 + 0*d**3 + 5*d**4 + 0*d**3 - 47*d + 40 + 5*d**3 + 27*d.
5*(d - 2)*(d - 1)*(d + 2)**2
Determine d so that 8*d - 2*d**3 + 4/5*d**2 - 48/5 + 2/5*d**4 = 0.
-2, 2, 3
Factor 0*l + 2/7*l**4 + 0*l**2 + 0 + 12/7*l**3.
2*l**3*(l + 6)/7
Let v(p) be the second derivative of 5*p**4/6 + 395*p**3/12 - 25*p**2 - 589*p. Factor v(r).
5*(r + 20)*(4*r - 1)/2
Factor -4/13*p**3 + 2/13*p**4 + 0 - 58/13*p**2 + 60/13*p.
2*p*(p - 6)*(p - 1)*(p + 5)/13
Let i(s) = -1. Let w(l) = -5. Let g(k) = -9*i(k) + 2*w(k). Let p = -26 + 70. Let y(d) = -d**2 - 2*d + 10. Let u(n) = p*g(n) + 4*y(n). What is b in u(b) = 0?
-1
Factor 5/2*x**2 + 1/8*x**5 + 0*x + 9/8*x**4 + 3*x**3 + 0.
x**2*(x + 2)**2*(x + 5)/8
Suppose -3*h - 2*l - 2 = 0, -5*h + l + 18 = -l. Let x = 290/123 + -42/41. Solve -x - 2/3*m**2 + h*m = 0.
1, 2
Let t(b) = -4*b + 8. Let x be t(-7). Solve -4*w**2 + 15 + 31*w**3 - x*w**3 + 25*w + 9*w**2 = 0 for w.
-1, 3
Let m(x) = -x**2 - 2*x + 16. Let n be m(3). Let w(a) be the first derivative of n + 2/13*a**2 - 2/39*a**3 - 2/13*a. Factor w(t).
-2*(t - 1)**2/13
Let r(b) be the first derivative of 15*b**4/16 + b**3/2 - 6*b**2 - 305. Suppose r(o) = 0. Calculate o.
-2, 0, 8/5
Let y(v) be the second derivative of -v**4/12 + 16*v**3/3 + 105*v**2/2 + 510*v. Factor y(q).
-(q - 35)*(q + 3)
Suppose 2*q = -4*z + 24, -24*z + 26*z + 2*q = 20. Factor 0 + 10*m**3 + 13/2*m**z + m + 9/2*m**4.
m*(m + 1)**2*(9*m + 2)/2
Let g(d) be the third derivative of -d**5/40 + 4*d**3 - d**2 + 7*d. Determine x, given that g(x) = 0.
-4, 4
Let m(q) be the third derivative of -7/24*q**4 + 4*q**2 + 2/3*q**3 + 1/120*q**6 + 0*q + 0 + 1/30*q**5. Suppose m(h) = 0. What is h?
-4, 1
Let d(v) be the first derivative of -v - 25/2*v**2 - 31/3*v**3 - 1. Let l(c) = 16*c**2 + 13*c + 1. Let m(z) = 4*d(z) + 7*l(z). Factor m(b).
-3*(b + 1)*(4*b - 1)
Let h(r) = -r**2 + 5*r - 4. Let j be h(1). Let z(i) be the first derivative of 1/6*i**3 + j*i + 4 + 0*i**2 + 1/16*i**4. Factor z(a).
a**2*(a + 2)/4
Let s(x) be the first derivative of 27 + 2/3*x - 1/18*x**4 - 2/9*x**3 + 1/9*x**2. Factor s(g).
-2*(g - 1)*(g + 1)*(g + 3)/9
Suppose 2*d + 10 = 0, 3*d - 2 = x - 19. Let m be -1 + x - (-8 - (-215)/25). Suppose m*i + 1/5 + 1/5*i**2 = 0. Calculate i.
-1
Let x be -7 + 16 + -3 - 6. What is o in 1/6*o**4 + x - 1/6*o**3 - 1/6*o**2 + 1/6*o = 0?
-1, 0, 1
Let r(m) be the second derivative of -m**6/30 + m**5/15 - 9*m**2/2 + 9*m. Let y(i) be the first derivative of r(i). Find s such that y(s) = 0.
0, 1
Let q(h) be the first derivative of -31 - h**4 - 4/3*h**3 + 2*h**2 + 4/5*h**5 + 0*h. Factor q(p).
4*p*(p - 1)**2*(p + 1)
Find y, given that -266/5*y + 334/5*y**3 - 90*y**2 + 588/5 - 66/5*y**4 + 4/5*y**5 = 0.
-1, 3/2, 2, 7
Let d(z) = z - 1. Suppose 4*h - 9 - 7 = 0. Let y(w) = 10*w**3 + 4*w**2 - 44*w - 12. Let n(a) = h*d(a) + y(a). Find x, given that n(x) = 0.
-2, -2/5, 2
Suppose -25563*p + 25549*p = -28. Factor -2/9*u**2 - p*u + 20/9.
-2*(u - 1)*(u + 10)/9
Solve -16/9*k**3 + 0 + 12*k - 428/9*k**2 = 0.
-27, 0, 1/4
Let r be -5*(-6 + 3)/(-3). Let w(a) = -a**2 - 4*a + 7. Let c be w(r). What is t in 4*t**4 + 0 - t**3 - 2*t**4 + 26*t**c - 11*t**3 - 24*t + 8 = 0?
1, 2
Let m = -39/1970 - -90331/65010. Let v = m - 2/55. Let 1/3*z - 5/3*z**4 + 5/3*z**2 + 0 - v*z**5 + z**3 = 0. Calculate z.
-1, -1/4, 0, 1
Let c(x) be the second derivative of -x**4/3 + 4*x**3 + 4*x**2 + 4*x. Let j(m) = -m**2 + 8*m + 3. Let n(h) = 3*c(h) - 8*j(h). Factor n(t).
-4*t*(t - 2)
Let s(h) be the first derivative of -h**6/21 - 10*h**5/7 - 115*h**4/14 + 1010*h**3/21 - 80*h**2 + 56*h - 26. Factor s(l).
-2*(l - 1)**3*(l + 14)**2/7
Let t(y) be the first derivative of -y**3/6 - 19*y**2/4 - 17*y - 262. Determine d, given that t(d) = 0.
-17, -2
Let o(i) be the second derivative of -i**10/90720 + i**9/22680 + 7*i**4/12 - 24*i. Let s(j) be the third derivative of o(j). Let s(k) = 0. What is k?
0, 2
Factor -6/7*f**2 - 228/7*f - 2166/7.
-6*(f + 19)**2/7
Let m(b) be the second derivative of -b**5/4 + 5*b**4/2 - 15*b**3/2 + 10*b**2 + 27*b. Factor m(a).
-5*(a - 4)*(a - 1)**2
Let y(h) be the third derivative of h**6/600 + h**5/75 - h**4/120 - 2*h**3/15 + 847*h**2. Factor y(g).
(g - 1)*(g + 1)*(g + 4)/5
Factor 97*m**2 + 16*m**3 + 2303*m + 20*m**3 - 2401 + 19*m**3 - 54*m**3.
(m - 1)*(m + 49)**2
Let c = -2381/36 + 602/9. Factor 75/4 + 15/2*a + c*a**2.
3*(a + 5)**2/4
Let w(n) be the third derivative of -n**6/360 + n**4/24 + 7*n**3/6 + 11*n**2. Let l(z) be the first derivative of w(z). Factor l(d).
-(d - 1)*(d + 1)
Let j = 481 + -476. Let c(n) be the second derivative of -2/3*n**3 + 1/20*n**j - 1/2*n**4 + 1/30*n**6 - 2*n + 0 + 4*n**2. Factor c(z).
(z - 2)*(z - 1)*(z + 2)**2
Let b(l) = -18*l - 81*l**2 + 15*l**5 + 1 - 7 + 8*l**4 - 11*l**4 - 81*l**3. Let r(z) = z**4 - z**2 - 1. Let i(k) = -b(k) + 6*r(k). Suppose i(a) = 0. What is a?
-1, -2/5, 0, 3
Let t(c) be the third derivative of c**5/30 + 7*c**4/6 + 40*c**3/3 - 6*c**2 + 28*c. Suppose t(r) = 0. What is r?
-10, -4
Let t(n) be the third derivative of -11/120*n**6 - 1/30*n**7 - 2*n - n**2 - 1/12*n**5 + 0*n**3 - 1/336*n**8 + 0 + 0*n**4. Factor t(c).
-c**2*(c + 1)**2*(c + 5)
Let k(t) = 4*t**3 + 3*t**2 - t. Let m(a) = -a**3 + a. Let p(y) = -k(y) - 3*m(y). What is j in p(j) = 0?
-2, -1, 0
Let q(b) be the second derivative of -b**8/11200 - b**7/1400 - b**6/400 - b**5/200 + 7*b**4/12 - 20*b. Let y(i) be the third derivative of q(i). Factor y(s).
-3*(s + 1)**3/5
Let g be ((-95)/(-180) - 30/(-135))*4. Let q(w) be the second derivative of 4/9*w**g + 1/9*w**4 - 2/45*w**6 + 0 + 0*w**2 - 2/15*w**5 + 13*w. Factor q(y).
-4*y*(y - 1)*(y + 1)*(y + 2)/3
Let o(b) be the third derivative of b**5/60 + 19*b**4/24 + 3*b**3 + 2*b**2 - 283. Find u, given that o(u) = 0.
-18, -1
Factor 0 - 27*l - 1/3*l**3 - 6*l**2.
-l*(l + 9)**2/3
Factor -20 - 122/3*h - 64/3*h**2 -