 - 2)*(d - 1)*(d + 1)
Find s such that 21/4*s**3 - 3/4*s**4 - 6 - 27/2*s**2 + 15*s = 0.
1, 2
Let c(m) be the first derivative of m**5/100 - m**4/12 + 4*m**3/15 - 2*m**2/5 + 6*m - 10. Let b(v) be the first derivative of c(v). Let b(l) = 0. Calculate l.
1, 2
Let n(o) = -4*o**2 + 6*o + 2. Let t(l) = 8*l**2 - 13*l - 5. Let p(h) = 5*n(h) + 2*t(h). Determine m, given that p(m) = 0.
0, 1
Factor 87*g + 126*g**2 + 413*g**2 + 12 + 136*g**2 + 93*g.
3*(15*g + 2)**2
Suppose 3*n - 2 - 4 = 0. Suppose -n*s = -4*v - 6, 2*v - 4*s + 5 = -13. Find z, given that 0*z**2 + z**2 - 2*z + 4*z - v + 2 = 0.
-1
Suppose 3*k = 4*k - 2*h - 9, -3 = -2*k - h. Let x(z) be the first derivative of -2 - 2/27*z**k + 0*z + 0*z**2. Factor x(d).
-2*d**2/9
Let j(b) = -90*b**3 - 60*b**2 + 30*b - 21. Let g(l) = -9*l**3 - 6*l**2 + 3*l - 2. Let i(h) = 21*g(h) - 2*j(h). Suppose i(a) = 0. Calculate a.
-1, 0, 1/3
Factor 32/9*z**3 + 4/9*z**5 + 28/9*z**2 + 2/9 + 4/3*z + 2*z**4.
2*(z + 1)**4*(2*z + 1)/9
Let c = 12 - 12. Factor c + 0*i - 1/4*i**2.
-i**2/4
Factor 1/3*s - s**2 + s**3 + 0 - 1/3*s**4.
-s*(s - 1)**3/3
Let t(u) be the second derivative of u**5/35 + u**4/21 - 16*u**3/21 - 24*u**2/7 + 3*u. Let t(z) = 0. What is z?
-2, 3
Let v(z) = -3*z + 5*z**2 - 3*z**3 - 5*z**3 + 4*z**3 + 2*z. Let t(j) = 3*j**3 - 4*j**2 + j. Let q(o) = -5*t(o) - 4*v(o). Factor q(k).
k*(k - 1)*(k + 1)
Let h(s) be the second derivative of 3*s**5/40 - 5*s**4/16 + s**3/2 - 3*s**2/8 - 4*s. Suppose h(g) = 0. Calculate g.
1/2, 1
Let z be (-1672)/(-77) - 4/(-14). Factor 2*a**4 - 32*a + 8*a**3 + 2*a - 2*a - 10 - z.
2*(a - 2)*(a + 2)**3
Let q(r) = 6*r**4 + 9*r**3 + 4*r**2 - r + 2. Let n(x) = x**3 + x**2 + x - 1. Let m(k) = 2*n(k) + q(k). Factor m(i).
i*(i + 1)*(2*i + 1)*(3*i + 1)
Let -4*w + 0*w + 4*w**2 + 3*w**3 + w**4 - 4*w**2 = 0. What is w?
-2, 0, 1
Factor 2 + 6*b + 3*b**2 - 3*b**5 + 9*b**3 - 3*b**4 - 2 + 12*b**2.
-3*b*(b - 2)*(b + 1)**3
Let w(s) be the second derivative of -s**4/20 + 3*s**3/10 - 6*s. Suppose w(d) = 0. Calculate d.
0, 3
Let l be 1 + 5 - (3 - 1). Suppose 0 = -5*j + l*j. Determine m so that 0*m**2 + 0*m**4 + 0 - 2/5*m**5 + 2/5*m**3 + j*m = 0.
-1, 0, 1
Let x = 82 + -78. Let k(c) be the second derivative of -1/15*c**6 + 0*c**x + 0*c**3 + 0*c**5 + 0*c**2 + 0 - 1/21*c**7 - c. Solve k(b) = 0.
-1, 0
Let -38/3*s**2 - 10/3 - 14*s - 2*s**3 = 0. Calculate s.
-5, -1, -1/3
Let a = 1/180 + 89/180. Let 0 + 1/4*h**2 + a*h + 1/4*h**5 - 3/4*h**3 - 1/4*h**4 = 0. What is h?
-1, 0, 1, 2
Let j be 2/(-18) - 9/(-27). Factor -2/9*u + 0 - j*u**2.
-2*u*(u + 1)/9
Let l be (-84)/(-18) + (-10)/6. Factor -3/4*v**2 - l + 3*v.
-3*(v - 2)**2/4
Let k(m) = -35*m**3 - 35*m**2 + 40*m + 30. Let y(z) = z**3 + z**2 - z - 1. Let x(g) = -k(g) - 30*y(g). Determine l so that x(l) = 0.
-2, 0, 1
Let g(o) = -2*o**3 + 2*o**2 + o. Suppose l + 1 - 3 = 0. Let z(p) = -2*p**3 + 2*p**2 + 2*p. Let y(m) = l*g(m) - 3*z(m). Let y(f) = 0. What is f?
-1, 0, 2
Let u = 2 + 0. Let f(m) be the third derivative of -1/150*m**5 - 1/175*m**7 + 0*m**4 - 3*m**u + 0*m + 0 + 1/840*m**8 + 0*m**3 + 1/100*m**6. Factor f(i).
2*i**2*(i - 1)**3/5
Let r(o) be the first derivative of 6 + 1/32*o**4 + 0*o + 1/12*o**3 + 1/16*o**2. Suppose r(b) = 0. Calculate b.
-1, 0
Let t(g) be the third derivative of 3/8*g**4 - 1/3*g**3 + 0*g + 2*g**2 - 1/15*g**5 + 0. Solve t(u) = 0 for u.
1/4, 2
Let f be 10 - (8 - (-48)/(-26)). Factor -8/13 - 60/13*n**3 + 24/13*n - f*n**4 + 22/13*n**2.
-2*(n + 1)**2*(5*n - 2)**2/13
Suppose 0 = 3*q + 2*q - 0*q. Let w(o) be the third derivative of -1/6*o**4 - 1/3*o**3 + 0*o + o**2 + q - 1/30*o**5. Factor w(z).
-2*(z + 1)**2
Let u(o) be the third derivative of -o**7/105 + o**6/180 + o**5/15 - o**4/12 - o**3/6 - 3*o**2. Let c(b) be the first derivative of u(b). Solve c(q) = 0 for q.
-1, 1/4, 1
Let f = -5 + 8. Let w = f + -1. Factor 1/3*h**w + 2/3 + h.
(h + 1)*(h + 2)/3
Factor 0*s + 0 + 1/3*s**2.
s**2/3
Let u = 23 + -11. Determine d, given that -8*d**3 + 2*d**3 + 15*d**4 + 12*d**4 - 12*d**5 + 3*d**2 - u*d**3 = 0.
0, 1/4, 1
Let c be -1 - -2 - (4 + (-122)/40). Let x(a) be the first derivative of 0*a**3 + 1 - 1/4*a + c*a**5 + 1/4*a**2 - 1/8*a**4. Factor x(s).
(s - 1)**3*(s + 1)/4
Solve -8/9 + 2/3*s**2 + 2/9*s**3 + 0*s = 0.
-2, 1
Let k(v) = v**2 - v. Let t(c) = -5*c**2 + c - 2. Let z(r) = 4*k(r) + t(r). Factor z(i).
-(i + 1)*(i + 2)
Let p = -16 - -17. Factor -49 + p + 27*o - 3*o - 3*o**2.
-3*(o - 4)**2
Suppose y - 15 = 3. Let s be y/84 - 2/(-7). Find i, given that 0*i**3 + i**2 + 0 - i**4 - 1/2*i + s*i**5 = 0.
-1, 0, 1
Factor -m + 1/2 + 1/2*m**2.
(m - 1)**2/2
Let c(n) be the second derivative of n**7/5040 - n**6/720 + n**5/240 + n**4/4 + n. Let h(y) be the third derivative of c(y). Let h(g) = 0. Calculate g.
1
Suppose -6*b + 5*b = -2. What is r in 0*r + 0 + 1/5*r**b = 0?
0
Let m(r) = 2*r**3 - r**2 - 3*r - 3. Let f be m(3). Suppose 33*x**3 - 15*x**2 - 31 + 42*x**4 - f*x - 21*x**2 + 25 = 0. What is x?
-1, -1/2, -2/7, 1
Let s(d) be the first derivative of -2 + 1/3*d**3 - 1/4*d**4 + 1/2*d**2 - d. Let s(z) = 0. What is z?
-1, 1
Let q(l) = -l**3 + 3*l**2 + 3*l + 5. Let g(u) = -3*u**3 + 10*u**2 + 8*u + 16. Let f(m) = -2*g(m) + 7*q(m). Suppose f(n) = 0. What is n?
-1, 3
Let s(w) be the first derivative of 1/8*w**4 - 1/6*w**3 + 1/10*w**5 - 1/4*w**2 - 3 + 0*w. Let s(y) = 0. What is y?
-1, 0, 1
Let k = 9 + -1. Suppose 3*n - 5*r = 245, 0*n = -n + 3*r + 75. Find c, given that n*c**4 - 62*c**5 - 82*c**2 + 48*c - k + c**3 + 0*c**3 + 12*c**5 + c**3 = 0.
-1, 2/5, 1
Let j(t) be the first derivative of t**6/120 - 3*t**5/20 + 9*t**4/8 - 2*t**3/3 + 4. Let x(q) be the third derivative of j(q). Factor x(a).
3*(a - 3)**2
Let n be 0/(6/(-4)*-2). Let q(i) = i**2 + i + 5. Let j be q(n). Factor -2/7*v**3 - 2/7*v**j + 0*v**2 + 0 - 4/7*v**4 + 0*v.
-2*v**3*(v + 1)**2/7
Let p(g) = 4*g**2 - 34*g + 46. Let u(j) = -j + 1. Let c(w) = p(w) - 10*u(w). Determine r, given that c(r) = 0.
3
Let n(v) be the second derivative of -v**4/72 + v**3/36 - 9*v. Factor n(j).
-j*(j - 1)/6
Suppose -2*y + 9 = -y. Let z = 13 - y. Factor 2*h**3 + 0*h**2 - 5*h**2 + z*h**2 - h**4.
-h**2*(h - 1)**2
Factor -15/2*p**2 + 6*p**3 + 0 - 3/2*p**4 + 3*p.
-3*p*(p - 2)*(p - 1)**2/2
Let p(w) be the second derivative of -w**6/120 + w**5/40 + w**4/48 - w**3/12 + 21*w. Factor p(b).
-b*(b - 2)*(b - 1)*(b + 1)/4
Let v(m) = -25*m - 123. Let c be v(-5). Solve 1/3*h - 1/3*h**c + 0 = 0.
0, 1
Let f(l) be the third derivative of 7*l**6/60 + 19*l**5/30 + 2*l**4/3 - 4*l**3/3 - 19*l**2. Factor f(s).
2*(s + 1)*(s + 2)*(7*s - 2)
Let r(b) be the second derivative of b**5/20 - b**4/30 + b. Factor r(q).
q**2*(5*q - 2)/5
Let k(q) be the second derivative of q**4/66 + 5*q**3/33 + 32*q. Solve k(a) = 0.
-5, 0
Let u(b) = -b - 4. Let d be u(-4). Find a, given that 4*a**2 + d*a**3 - 2*a**2 + 3*a**4 + 9*a**3 + 4*a**4 = 0.
-1, -2/7, 0
Let t be (4/(-15))/((-41)/20 + 2). Factor 8/3 + 2/3*y**3 + t*y + 10/3*y**2.
2*(y + 1)*(y + 2)**2/3
Let l be (1 + 2)/(9/2). Let p = 659/3 + -219. Find i such that -16/3*i**5 - 58/3*i**3 + l*i - 22/3*i**2 - 52/3*i**4 + p = 0.
-1, -1/2, 1/4
Suppose 0 = -2*x + 15 - 5. Let d be x/(-2)*(-12)/15. Solve 2*k**3 + 4*k**3 + 6*k**4 + d*k**2 + 2*k**5 + 0*k**3 = 0.
-1, 0
Let d(m) be the first derivative of m**4 + 16*m**3/3 + 8*m**2 - 50. Factor d(g).
4*g*(g + 2)**2
Let p(i) be the first derivative of 3*i**2/2 - i - 2. Let f be p(1). Solve -12*t**2 + 7*t - 37*t**3 + 2 + f*t**4 - 22*t**4 + 0 = 0 for t.
-1, -1/4, 2/5
Let c(i) be the second derivative of -i**7/42 + 2*i**6/15 - i**5/20 - 5*i**4/6 + 2*i**3/3 + 4*i**2 - 14*i. Factor c(a).
-(a - 2)**3*(a + 1)**2
Let z be (-2)/3*3/12*-3. Factor 2*b**4 + 1/2*b + 0 + 2*b**2 + z*b**5 + 3*b**3.
b*(b + 1)**4/2
Let w = 729/310 + 3/62. Factor 0*a + 0*a**3 - 3/5*a**5 - 9/5*a**4 + w*a**2 + 0.
-3*a**2*(a - 1)*(a + 2)**2/5
Suppose -2*x - 3*h = x - 21, 19 = 5*x - 3*h. Factor 4 + x*o**4 + 11*o + 16*o**3 + 6*o**2 - o**4 + 5*o + 18*o**2.
4*(o + 1)**4
Let d be 12/(-15)*(-1)/2. Suppose 5*i + 5*l - 35 = 0, -5*i + 2*l = l - 5. Let q + 1/5 + 9/5*q**i + 7/5*q**3 + d*q**4 = 0. Calculate q.
-1, -1/2
What is t in 119*t**5 + 25*t**4 + 26*t**3 - 25*t**2 - 10*t + 19*t**3 - 154*t**5 = 0?
-1, -2/7, 0, 1
Suppose 0 = t - 4, -2*t + 5*t - 72 = -5*a. Let z be (-24)/(-16)*a/10. Factor 3/5*w**3 + 3/5 + 9/5*w**2 + z*w.
3*(w + 1)**3/5
Let c = 1 - 8. Let 