v + 5. Let c(m) = 0. What is m?
2/7, 2, 6
Let d(y) be the third derivative of y**6/210 + 2*y**5/35 - 3*y**4/14 - 36*y**3/7 - 134*y**2 - y. Factor d(m).
4*(m - 3)*(m + 3)*(m + 6)/7
Let g(d) be the first derivative of 2*d**6/3 - 16*d**5/5 - 2*d**4 + 16*d**3 + 18*d**2 - 114. Factor g(v).
4*v*(v - 3)**2*(v + 1)**2
What is g in 2/7*g**3 + 4*g + 16/7 + 2*g**2 = 0?
-4, -2, -1
Let h(l) = 33*l**3 + 157*l**2 - 506*l - 97. Let u(t) = -21*t**3 - 104*t**2 + 337*t + 65. Let x(p) = -5*h(p) - 7*u(p). Factor x(c).
-3*(c - 2)*(c + 5)*(6*c + 1)
Factor -20*y**3 + 28*y**2 + 9 + 61*y**2 + 16*y**2 + 11 - 105*y.
-5*(y - 4)*(y - 1)*(4*y - 1)
Let v = -1169/30 - -39. Let u(w) be the second derivative of -1/18*w**4 - 1/9*w**3 + 1/3*w**2 + 0 + v*w**5 + 4*w. Solve u(j) = 0 for j.
-1, 1
Suppose 4*n - 2*l = 10, 5*n = 2*n - 4*l - 9. Let c be 3*n + 207/(-81). Determine d, given that 0 + 0*d - 2/9*d**2 + c*d**3 - 2/9*d**4 = 0.
0, 1
Let i(f) be the third derivative of 1/160*f**6 + 0*f**4 + 0 + 7/240*f**5 - 1/6*f**3 - 7*f**2 + 0*f. Suppose i(t) = 0. What is t?
-2, -1, 2/3
Let z(t) be the third derivative of -1/2*t**5 + 0*t - 1/42*t**7 + 0 - 5/6*t**3 - 1/6*t**6 + 5*t**2 - 5/6*t**4. Factor z(a).
-5*(a + 1)**4
Let r = -154299/5 + 31030. Let s = r + -169. Factor 4/5*n + 0*n**3 + s*n**2 + 0 - 2/5*n**4.
-2*n*(n - 2)*(n + 1)**2/5
Let z = 55/118 + 2/59. Let f = 2/91 + 87/182. Factor 2*s**3 - z*s**2 + f - 2*s.
(s - 1)*(s + 1)*(4*s - 1)/2
Factor a**2 - 12*a**2 - 21*a + 13*a**2 - 5*a.
2*a*(a - 13)
Let b(m) = m**3 + 3*m**2 - 2*m. Let p be b(-3). Suppose -2*h + p = 2. Factor 4/5 - 2/5*l**3 + 6/5*l + 0*l**h.
-2*(l - 2)*(l + 1)**2/5
Let t(s) be the first derivative of s**6/60 - s**5/30 - 11*s**2/2 + 10. Let h(p) be the second derivative of t(p). What is c in h(c) = 0?
0, 1
Factor 1/2*s**2 + 7*s + 0.
s*(s + 14)/2
Let d(a) = 2*a**3 - 48*a**2 - 52*a + 52. Let j be d(25). Let y(o) be the second derivative of 0 + 0*o**j - 4/25*o**5 - 2/15*o**3 + 1/3*o**4 - 2*o. Factor y(q).
-4*q*(q - 1)*(4*q - 1)/5
Let b = 59 - 293/5. Let y be 2 + 1 + 91/(-35). Factor -y*n**3 + 2/5*n - 2/5*n**2 + b.
-2*(n - 1)*(n + 1)**2/5
Suppose -t = -2*t + 4. Let p = 18 + -8. What is n in 6 - p*n + 3 - 5 + t + 2*n**2 = 0?
1, 4
Let q(v) = v**2 + 1. Let c(k) = -k**3 - 15*k**2 - 5*k - 9. Let j(g) = 4*c(g) + 36*q(g). Factor j(y).
-4*y*(y + 1)*(y + 5)
Let f(x) be the third derivative of -x**8/336 - x**7/35 + 9*x**6/40 + 28*x**5/15 - 23*x**4/2 + 24*x**3 + 71*x**2. Factor f(b).
-(b - 4)*(b - 1)**2*(b + 6)**2
Factor -6*d**2 + 52*d**3 + 3*d**2 - 15 + 1311 - 6*d**2 + 4*d**4 - 11*d**2 - 1332*d.
4*(d - 4)*(d - 1)*(d + 9)**2
Let u = 22 - 14. Factor 8*x**2 + 12 - 12*x**2 + u*x**3 - 2*x**2 - 10*x**2 + 4*x**4 - 8*x.
4*(x - 1)**2*(x + 1)*(x + 3)
Let -6153*f - 1880 - 4*f**2 + 5865*f - 3304 = 0. Calculate f.
-36
Let s(v) be the first derivative of 1/2*v**2 + 2/3*v**3 - 2*v + 3 - 1/4*v**4. Factor s(y).
-(y - 2)*(y - 1)*(y + 1)
Determine d so that -144*d + 1/2*d**2 + 10368 = 0.
144
Suppose -5*h + 5*r + 15 = -0*h, -3*r + 33 = 4*h. Let d(l) be the third derivative of -7*l**2 - 1/280*l**h + 0*l**3 + 0 + 0*l**4 + 0*l + 1/70*l**5. Factor d(p).
-3*p**2*(p - 2)/7
Let f(b) be the first derivative of -1/9*b**2 - 2/45*b**5 - 1/6*b**4 + 2 + 0*b - 2/9*b**3. Let f(n) = 0. What is n?
-1, 0
Let m be -36 - (2/(-11) + 630/198). Let a = m - -42. Factor 1/2*p**5 + p**2 + 0*p**4 - 3/2*p**a + 0*p + 0.
p**2*(p - 1)**2*(p + 2)/2
Suppose -4*t + 4*i = 0, 3*t - 12 = -296*i + 295*i. Let -2/3*n**2 + 0 - 7/12*n**4 + 1/3*n - 19/12*n**t = 0. Calculate n.
-2, -1, 0, 2/7
Let b(w) be the first derivative of 0*w**2 - 1/30*w**5 + 0*w + 10/3*w**3 + 1/12*w**4 - 6 + 1/180*w**6. Let l(c) be the third derivative of b(c). Factor l(n).
2*(n - 1)**2
Factor 32/7*q + 12/7*q**3 - 36/7*q**2 + 0 - 1/7*q**4.
-q*(q - 8)*(q - 2)**2/7
Let g(s) be the second derivative of -16*s**6/225 - 47*s**5/150 - s**4/2 - 13*s**3/45 + s**2/15 - 60*s. What is y in g(y) = 0?
-1, 1/16
Let m(y) be the second derivative of y**5/30 + 10*y**4/3 + 400*y**3/3 + 8000*y**2/3 + 88*y. Factor m(p).
2*(p + 20)**3/3
Let n(a) be the third derivative of -a**5/12 - 575*a**4/6 - 132250*a**3/3 - a**2 + 81*a. Determine r so that n(r) = 0.
-230
Let v be (2/33)/((-49)/(-2156)). Factor 1/3*o**4 - 7/3*o**3 + 6*o**2 - 20/3*o + v.
(o - 2)**3*(o - 1)/3
Let n(s) = -8*s**4 - 4*s**3 + 4*s**2 + 12. Let h be -2 + (2 - 1)*(3 - 0). Let c(u) = u**4 - u**2 - 1. Let k(v) = h*n(v) + 12*c(v). Find y such that k(y) = 0.
-1, 0, 2
Suppose -5*h + 15 = -2*h. Let n = -7 + 9. Factor 2*w**2 + w**h + 2*w**4 - 3*w + 0*w**5 - 4*w**4 + n*w.
w*(w - 1)**3*(w + 1)
Let c be (3/(-7))/((-2)/7). Suppose -59 = 3*q - 68. Find b, given that 1/4*b**4 + 7/4*b**q - c*b**5 + 0 - 1/4*b**2 - 1/4*b = 0.
-1, -1/3, 0, 1/2, 1
Let s(u) be the third derivative of u**5/120 - u**4/16 - 81*u**2 - 5*u. Factor s(l).
l*(l - 3)/2
Let f(b) = -b**3 + 3*b**2 - 2*b + 26. Let q be f(4). Suppose 3*t - 4*j = 0, -6*t = -5*t - q*j + 2. Factor 2/3*y**3 + 2/9*y**t + 2/3*y**2 + 0 + 2/9*y.
2*y*(y + 1)**3/9
Find l such that 2*l**2 - 8/3*l**3 + 0 + 0*l + 2/3*l**4 = 0.
0, 1, 3
Let f(n) = -n**2 + 10*n + 264. Let x be f(-12). Let h(r) be the first derivative of -3/8*r**2 + 1/12*r**3 + x*r + 15. Factor h(q).
q*(q - 3)/4
Let r(w) be the third derivative of w**8/33600 + w**7/2800 + w**6/600 - w**5/30 - 6*w**2. Let u(m) be the third derivative of r(m). Factor u(g).
3*(g + 1)*(g + 2)/5
Let o(b) = -b + 4*b + 7 + 23 + 2. Let l be o(-10). Factor 1/2*c**l - 2*c + 2.
(c - 2)**2/2
Let w(g) = g**3 + 20*g**2 + 15*g + 2. Let m(n) = -n**3 + 20*n**2 + 15*n + 3. Let l(r) = 2*m(r) - 3*w(r). Suppose l(j) = 0. Calculate j.
-3, -1, 0
Let b(x) be the third derivative of 10*x**2 + 1/70*x**6 + 0 + 0*x**4 + 1/210*x**5 + 0*x**3 + 0*x. Solve b(f) = 0.
-1/6, 0
Suppose -m + 5*z + 23 = 0, 9*m = 7*m + 4*z + 22. Factor -8/7*k + 2/7*k**m - 16/7 + 4/7*k**2.
2*(k - 2)*(k + 2)**2/7
Let j(b) be the third derivative of 0 + 0*b + 1/192*b**4 - 34*b**2 + 1/480*b**5 - 1/24*b**3. Factor j(y).
(y - 1)*(y + 2)/8
Let m(j) be the second derivative of j**5/70 + 13*j**4/42 - 345*j. Factor m(h).
2*h**2*(h + 13)/7
Let t(k) = 4*k**2 - 8*k - 4. Let r(m) be the second derivative of -m**3/6 - m**2/2 - 11*m. Let a(d) = 4*r(d) - t(d). Factor a(j).
-4*j*(j - 1)
Let d(p) be the first derivative of 1/180*p**5 - 1/540*p**6 - 8/3*p**3 - 4 + 0*p + 0*p**4 + 0*p**2. Let j(x) be the third derivative of d(x). Factor j(k).
-2*k*(k - 1)/3
Let f(k) be the third derivative of k**6/24 - 5*k**5/3 + 85*k**4/24 + 95*k**3/3 + 4*k**2 + 19. Factor f(o).
5*(o - 19)*(o - 2)*(o + 1)
Suppose 98 = 8*q + 58. Factor -5/3*s - 1/3*s**4 - 1/3*s**q - 2/3*s**2 + 1 + 2*s**3.
-(s - 1)**3*(s + 1)*(s + 3)/3
Let x(m) be the first derivative of -10/3*m**2 - 4/9*m**3 - 25/3*m - 29. Let x(j) = 0. Calculate j.
-5/2
Let f be (-5 + (-64)/(-8))*(-1 - 134). Let b be (-4)/(-18) - 153/f. Determine x, given that -b*x**2 + 0 - 12/5*x = 0.
-4, 0
Let l = -181/10 - -91/5. Let q(z) be the third derivative of -l*z**5 + 0 - 1/40*z**6 + 0*z**3 - 1/8*z**4 + 0*z - z**2. Solve q(f) = 0 for f.
-1, 0
Let p(z) = -5*z - 11. Let g be p(-11). Suppose -4*b + 0*b = -g. Suppose 21*h**3 - b - 6*h - h**2 + 11 + 16*h**2 = 0. Calculate h.
-1, 0, 2/7
Suppose 11/5*p**4 + 3*p**2 + 27/5*p**3 - 7/5*p - 6/5 = 0. Calculate p.
-1, 6/11
Let j(w) be the second derivative of -3*w**5/20 + w**3/2 - 96*w. Suppose j(b) = 0. What is b?
-1, 0, 1
Let u(o) be the second derivative of -3*o**5/20 - 3*o**4/4 + 6*o**2 + 125*o. Factor u(a).
-3*(a - 1)*(a + 2)**2
Let f(b) be the first derivative of b**4/4 - 20*b**3/3 + 50*b**2 + 73. Determine l, given that f(l) = 0.
0, 10
Let o = 451/364 + 1/91. Suppose -o*s**3 + 3*s**2 - 9/4*s + 1/2 = 0. Calculate s.
2/5, 1
Let a = 86241/11 - 7840. Factor a*r**3 - 5/11*r**2 + 0*r + 0.
r**2*(r - 5)/11
Let y(h) be the first derivative of -h**7/189 - 2*h**6/135 - h**5/90 - 23*h + 9. Let n(w) be the first derivative of y(w). Factor n(u).
-2*u**3*(u + 1)**2/9
Let r(j) be the first derivative of j**5/10 - 2*j**4/3 + 5*j**3/3 - 2*j**2 - j + 20. Let p(a) be the first derivative of r(a). Find v such that p(v) = 0.
1, 2
Find d such that 3/2*d + 0 - 3/2*d**3 + 3/4*d**2 - 3/4*d**4 = 0.
-2, -1, 0, 1
Let l(i) be the first derivative of 3*i**5/20 - i**4 + 5*i**3/2 - 3*i**2 - 10*i + 4. Let q(f) be the first derivative of l(f). Solve q(c) = 0.