*4 + 79*y**3 - 19*y**2 - 7*y. Let w(x) = -46*x**5 - 22*x**4 + 26*x**3 - 6*x**2 - 2*x. Let p(a) = 2*u(a) - 7*w(a). Solve p(d) = 0.
-1, 0, 1/4, 1/3
Let s(a) be the third derivative of 9*a**8/2240 - a**7/120 - a**6/120 - a**4/6 + 7*a**2. Let f(c) be the second derivative of s(c). Suppose f(g) = 0. What is g?
-2/9, 0, 1
Let v = 122/3 + -40. Factor 2/3*z**3 + v + 2*z**2 + 2*z.
2*(z + 1)**3/3
Determine j, given that 3/4*j**2 + 3/2 + 9/4*j = 0.
-2, -1
Let v be (-10)/(-35)*7 - 9/6. Let x(i) be the second derivative of 2*i**4 + 0 - i + 4/5*i**5 + 3/2*i**3 + v*i**2. Determine k, given that x(k) = 0.
-1, -1/4
Let x(h) be the third derivative of 0*h**5 - 1/12*h**4 + 0 + 0*h - 1/210*h**7 + 1/6*h**3 + 1/60*h**6 + 4*h**2. Solve x(l) = 0 for l.
-1, 1
Suppose d - 3*z - 8 = 0, 5*z + 9 = -1. Let f(i) be the third derivative of -1/18*i**4 + 0 + 0*i**3 + 1/36*i**6 - 3*i**d + 0*i - 1/30*i**5. Factor f(x).
2*x*(x - 1)*(5*x + 2)/3
Let o(d) = 2 + 2*d - 1 + 0*d. Let z be o(1). Determine n, given that -1/3*n + 1/3*n**z - 2/3*n**2 + 2/3 = 0.
-1, 1, 2
Let k(b) = 5*b**2 - b - 1. Let r be k(-1). Suppose d + 3 = 4*a - 9, -r*d = 4*a - 12. Factor 0*x**a + x**3 - 2*x**2 + 3*x**2.
x**2*(x + 1)
Let s(m) = m**5 + m**4 - m**3 - m**2 + m + 1. Let u(o) = -4*o**5 - 7*o**4 + 3*o**3 + 3*o**2 - 3*o - 3. Let z(q) = -15*s(q) - 5*u(q). Factor z(y).
5*y**4*(y + 4)
Solve -4/9*l**3 + 8/9*l - 10/9*l**4 + 2/9 - 4/9*l**5 + 8/9*l**2 = 0.
-1, -1/2, 1
Let o(b) = -b**2 + 9*b + 10. Let m be o(8). Let f be ((-6)/(-4))/(m/16). Suppose 0 - 25/3*z**4 + 16/3*z**2 - f*z - 5/3*z**3 = 0. What is z?
-1, 0, 2/5
Factor 5 - s**2 - 1 + 0*s + 0*s.
-(s - 2)*(s + 2)
Solve -a + 3*a**3 - 6*a - 3 + 0 + 4*a + 3*a**2 = 0.
-1, 1
Let o(m) be the third derivative of m**8/1680 + m**7/1050 - m**6/600 - m**5/300 + 3*m**2. Suppose o(y) = 0. What is y?
-1, 0, 1
Let d = -8 - -11. Let o(g) be the third derivative of 0*g**4 + 1/240*g**5 + 0 + 1/480*g**6 + 2*g**2 + 0*g**d + 0*g. Factor o(p).
p**2*(p + 1)/4
Let t(n) = 2*n**3 - 2*n**2 + 4. Let k be t(-2). Let w = k - -24. Let -10/3*u**2 - 2/9 - 16/9*u + 32/9*u**w + 16/9*u**3 = 0. Calculate u.
-1, -1/4, 1
Let c(w) be the third derivative of 3*w**2 - 1/4*w**4 - 1/3*w**3 - 1/10*w**5 + 0 + 0*w - 1/60*w**6. Factor c(h).
-2*(h + 1)**3
Solve 8/5*f + 4/5 + 3/5*f**2 = 0.
-2, -2/3
Let o(l) be the third derivative of l**6/120 - l**5/15 - 5*l**4/24 - 22*l**2. Solve o(x) = 0 for x.
-1, 0, 5
Factor -10*f**3 - 5*f**4 - 2*f**4 + 12*f**3.
-f**3*(7*f - 2)
Let s(y) be the third derivative of y**8/5040 - y**7/1260 + y**6/1080 - y**3/2 - 2*y**2. Let m(a) be the first derivative of s(a). Factor m(b).
b**2*(b - 1)**2/3
Let m = -1 - -2. Let q = m - -5. Let 2*t**2 - 2*t - 2*t**2 + 2*t**4 - 6*t**3 + q*t**2 = 0. What is t?
0, 1
Let q be 4 + ((-2)/(-11) - (-65)/(-55)). Solve 0*g**2 + 0*g + 0 - 1/3*g**q - 2/3*g**4 = 0 for g.
-1/2, 0
Let k(y) be the second derivative of -y**5/10 - y**4/18 + 9*y. Determine u so that k(u) = 0.
-1/3, 0
Let w(p) = -12*p**4 + 2*p**3 + 14*p**2 - 4*p - 2. Let x(b) = b**4 - b**3 - 1. Let g(i) = i**2 + 3*i + 2. Let t be g(-3). Let k(y) = t*x(y) - w(y). Factor k(r).
2*r*(r - 1)*(r + 1)*(7*r - 2)
Suppose 0 = -0*t - t - 10. Let q(o) = o**2 + 9*o - 8. Let i be q(t). What is f in 2/9*f**i + 22/9*f**4 + 0 + 2/3*f**5 + 22/9*f**3 - 4/9*f = 0?
-2, -1, 0, 1/3
Suppose -2/3*w**2 + 0*w + 0 = 0. What is w?
0
Let m(s) = -3*s - 59. Let d be m(-21). Determine h, given that 3/2*h**2 - 1/2*h**d + 1/2*h - 1/2*h**3 - 1 = 0.
-2, -1, 1
Let i be (-3*2)/(-1)*(-11)/(-22). Factor 0*g**i + 0 + 2/7*g**4 - 2/7*g**2 + 0*g.
2*g**2*(g - 1)*(g + 1)/7
Let v(l) be the second derivative of 5*l + 1/21*l**7 + 0 + l**2 - 1/5*l**5 + 1/3*l**3 - 1/3*l**4 + 1/15*l**6. Factor v(f).
2*(f - 1)**2*(f + 1)**3
Let w(x) = -45*x**4 - 35*x**3 - 5*x**2 + 85*x + 25. Let j(t) = 11*t**4 + 9*t**3 + t**2 - 21*t - 6. Let o(k) = 25*j(k) + 6*w(k). Solve o(p) = 0.
-3, -1, 0, 1
Let l(y) be the third derivative of y**6/480 + y**5/120 - y**4/24 - y**3/3 - 6*y**2. Determine f, given that l(f) = 0.
-2, 2
Let b(q) be the second derivative of -1/30*q**4 - 1/30*q**3 - 4*q + 0*q**2 - 1/100*q**5 + 0. Factor b(n).
-n*(n + 1)**2/5
Let h(s) be the third derivative of 1/336*s**8 + 0*s**3 + 0 + 0*s**4 + 1/60*s**5 + 1/40*s**6 + 1/70*s**7 - 3*s**2 + 0*s. Factor h(l).
l**2*(l + 1)**3
Factor 1/8*c**2 + 1/8*c**4 + 3/8*c**3 - 3/8*c - 1/4.
(c - 1)*(c + 1)**2*(c + 2)/8
Suppose -4*f = 4*s, -4*s + 5*f + 6 + 30 = 0. Let t(z) be the second derivative of 1/3*z**2 + 7/60*z**5 - 1/18*z**s + 0 - 7/18*z**3 + 3*z. Factor t(g).
(g - 1)*(g + 1)*(7*g - 2)/3
Let f(h) = -3*h**3 + 3*h**2 + 3*h - 3. Let t(z) = -z - 13. Let y be t(-16). Let g(n) = n**5 - n**3 - n**2 + 1. Let m(r) = y*g(r) + f(r). Factor m(k).
3*k*(k - 1)**2*(k + 1)**2
Let f be (60/24)/(5/10). Factor 2/7*w**f + 18/7*w**3 + 0 + 2*w**2 + 4/7*w + 10/7*w**4.
2*w*(w + 1)**3*(w + 2)/7
Let s(f) be the second derivative of -2*f**7/21 + 2*f**6/15 + 6*f**5/5 - 14*f**4/3 + 22*f**3/3 - 6*f**2 + 34*f. Find m such that s(m) = 0.
-3, 1
Suppose 0*n - 5*n = -10. Let l(p) be the second derivative of -4/9*p**4 + 0 - 1/9*p**3 - 1/6*p**5 + n*p + 2/3*p**2. Suppose l(m) = 0. What is m?
-1, 2/5
Let o(v) be the third derivative of 1/120*v**5 + 0 - 4*v**2 + 0*v + 1/3*v**3 + 1/12*v**4. Solve o(i) = 0.
-2
Let k(t) be the third derivative of t**6/120 - 7*t**5/30 + 25*t**4/24 - 2*t**3 - t**2 - 39*t. Suppose k(l) = 0. What is l?
1, 12
Factor -24/7*y + 0 + 54/7*y**2 + 6/7*y**4 - 36/7*y**3.
6*y*(y - 4)*(y - 1)**2/7
Let m(v) = -v**2 - 7*v. Let q be m(-7). What is n in 2/3*n**3 + q*n + 2*n**2 - 8/3 = 0?
-2, 1
Let l(c) = -7*c + 350. Let k be l(50). Determine x, given that k + 0*x**2 - 2/5*x**3 + 2/5*x = 0.
-1, 0, 1
Let y(v) be the first derivative of v**9/6048 + v**8/3360 - v**7/1680 - v**6/720 + v**3 + 3. Let d(b) be the third derivative of y(b). Factor d(q).
q**2*(q - 1)*(q + 1)**2/2
Let s be 7/((-21)/12) + 4. Solve 2/11*c**4 - 2/11*c**2 + 0 + s*c**3 + 0*c = 0 for c.
-1, 0, 1
Let y(c) be the second derivative of -c**7/42 + c**5/10 - c**3/6 + 11*c. Factor y(i).
-i*(i - 1)**2*(i + 1)**2
Suppose -l = p - 5, -l = -5*p + 8 - 1. Suppose z**p + 0 + 0*z**2 - 1 + z**3 - z = 0. Calculate z.
-1, 1
Factor 31*s**2 - 13*s - 67*s**2 + 9*s**4 + 6*s**3 - 11*s.
3*s*(s - 2)*(s + 2)*(3*s + 2)
Suppose 3*m - 6 = 3*u, -u + 4*m - 14 = -0*u. Factor 0 - 2/5*q**u - 4/5*q.
-2*q*(q + 2)/5
Factor -y**4 + 2*y**4 + 31*y**2 + 16 + 3*y**4 + 48*y + 24*y**3 + 21*y**2.
4*(y + 1)**2*(y + 2)**2
Let s(v) = -v**2 + v + 1. Let i(j) = 7*j + 10. Let p(u) = 3*i(u) - 3*s(u). Factor p(o).
3*(o + 3)**2
Let g(u) be the second derivative of -u**7/14 + 3*u**5/10 - u**3/2 + 15*u. Factor g(r).
-3*r*(r - 1)**2*(r + 1)**2
Factor -6/5*p + 12/5*p**2 - 4 - 2/5*p**3.
-2*(p - 5)*(p - 2)*(p + 1)/5
Let b(f) be the first derivative of -f**7/3360 - f**6/1440 + f**5/240 + 4*f**3/3 - 1. Let w(j) be the third derivative of b(j). Determine h so that w(h) = 0.
-2, 0, 1
Let h(v) be the second derivative of v**9/3780 + v**8/840 + v**7/630 + 2*v**4/3 - 8*v. Let o(d) be the third derivative of h(d). Solve o(r) = 0.
-1, 0
Let z(u) = u**3 + 8*u**2 + 7*u + 2. Let h be z(-7). Suppose -3*q + 2*q + 2 = 2*t, h*q - 4 = 5*t. Suppose -b**2 - 4*b + q*b + 3*b**2 = 0. Calculate b.
0, 1
Let r(a) = -3*a**2 - 15*a. Let c(x) = -15*x**2 - 75*x. Let t(l) = -4*c(l) + 21*r(l). Find v, given that t(v) = 0.
-5, 0
Let k = -16 - -37. Factor -5*g - 48*g**4 + 3*g + g + 4*g + k*g**2 + 24*g**3.
-3*g*(g - 1)*(4*g + 1)**2
Let x(o) be the third derivative of -3*o**7/35 - o**6/30 + 3*o**5/10 + o**4/6 - 7*o**2. Find d such that x(d) = 0.
-1, -2/9, 0, 1
Let o be ((-3)/2 + 2)*12. Suppose -2*c = -4*q + q - o, 6 = 2*c - 5*q. Find z, given that -c*z**2 - z + 3*z - 4*z**3 - z**4 + z**3 - 3*z = 0.
-1, 0
What is g in -9/4*g**3 + 0 + 0*g + 0*g**2 + 3/4*g**4 = 0?
0, 3
Suppose -r + 2 = 4*y, 2*y + 1 + 7 = 4*r. Let y - 4/3*o - 10/3*o**2 + 2*o**3 = 0. Calculate o.
-1/3, 0, 2
Let p(w) be the third derivative of -w**7/210 + w**6/24 - w**5/10 + 27*w**2. Factor p(m).
-m**2*(m - 3)*(m - 2)
Let r = 25 - 25. Let c(j) be the third derivative of r + j**2 + 0*j + 1/24*j**6 + 4/3*j**3 + 7/6*j**4 + 11/30*j**5. Suppose c(b) = 0. What is b?
-2, -2/5
Let h(a) be the second derivative of 0 + 3/10*a**5 + 0*a**3 + 1/10*a**6 + 0*a**2 - 7*a + 0*a**4. Find u such that h(u) = 0.
-2, 0
Let d(s) =