rivative of -5 - 1/5*d**5 - 1/2*d**4 + 2/3*d**3 + 1/6*d**6 - d + y*d**2. Factor j(g).
(g - 1)**3*(g + 1)**2
Let z(g) be the second derivative of g**7/252 - g**6/90 - g**5/120 + g**4/36 - 53*g + 2. Factor z(b).
b**2*(b - 2)*(b - 1)*(b + 1)/6
Suppose 0 = 5*l - 3*p + 6*p - 12, 0 = -2*l - 5*p + 1. Let -2 + 5*v**2 - v + 8*v - 4*v**l - 6*v**3 + 6*v**3 = 0. What is v?
-1, 1/4, 2
Let g(q) be the third derivative of -2/3*q**3 - 2/5*q**5 - 1/12*q**6 + 0*q - 3/4*q**4 + 2*q**2 + 0. Factor g(n).
-2*(n + 1)**2*(5*n + 2)
Let u = 5 - -1. Let q = -2 + u. Find y such that 16*y**5 + 2*y + 3*y + 6*y**3 - 4*y**4 - 15*y**5 - q*y - 4*y**2 = 0.
0, 1
Let d(l) = l**3 - 3*l**2 - 10. Let x(n) be the third derivative of -n**6/120 + n**5/30 + 3*n**3/2 + 7*n**2. Let r(w) = -5*d(w) - 6*x(w). Factor r(j).
(j - 1)*(j + 2)**2
Let w(g) = g**2 - 17*g + 19. Let n be w(16). Determine i so that 26*i + n + 3*i**2 - 3*i**3 - 23*i - 6*i**2 = 0.
-1, 1
Let k(x) be the second derivative of 5*x**3/6 - x**2/2 - 2*x. Let j be k(1). Find o, given that 3*o - 1 - o**5 + 0 - 2*o**3 + j*o**2 + 3*o**4 - 6*o**2 = 0.
-1, 1
Let p = 907 + -903. Let y(b) be the third derivative of -11/90*b**5 + 0 - 4/9*b**3 - 1/72*b**6 - 7/18*b**p + 0*b - 9*b**2. Suppose y(o) = 0. What is o?
-2, -2/5
Let k = -7 + 6. Let n = k - -3. Suppose -12*u**3 + 10*u**2 - 2*u + 11*u**n - 4*u - 3 = 0. Calculate u.
-1/4, 1
Let v(j) be the third derivative of -1/60*j**5 + 0 - 1/6*j**4 + 0*j + 5/6*j**3 + 27*j**2. What is g in v(g) = 0?
-5, 1
Solve 1/2*h + 0 + 1/4*h**2 = 0.
-2, 0
Suppose 15*u**2 + 9 - u**2 + 0*u + 3 - 10*u**2 - 16*u = 0. What is u?
1, 3
Let m(q) be the second derivative of q**5/24 + 5*q**4/72 - 5*q**3/6 + 4*q - 9. Factor m(k).
5*k*(k - 2)*(k + 3)/6
Let b be (-8)/(-68) - (-128)/68. Factor -h**4 - 20*h**b - 1 + 13*h**2 + 9*h**2.
-(h - 1)**2*(h + 1)**2
Let t(u) be the third derivative of 0*u**3 + 1/280*u**7 - 15*u**2 + 0 - 1/80*u**6 + 1/80*u**5 + 0*u**4 + 0*u. Let t(m) = 0. What is m?
0, 1
Let k(g) be the first derivative of 16*g**5/5 - 7*g**4 - 4*g**3/3 + 14*g**2 - 12*g + 36. Find s, given that k(s) = 0.
-1, 3/4, 1
Let i(t) be the third derivative of 29*t**6/100 - 7*t**5/30 + t**4/30 - t**2 - t. Factor i(r).
2*r*(3*r - 1)*(29*r - 2)/5
Let v be (-2)/4 + ((-20)/8)/(-1). Solve -4*f**2 + 3 + v - 7 - 10*f - 2 = 0.
-2, -1/2
Suppose 4*s + 2 = 14. Let x be 6/(-21) + (-60)/(-14). Suppose -w**5 - w**s - 3*w**x - 9*w**4 + 14*w**4 = 0. Calculate w.
0, 1
Let l(q) be the third derivative of q**5/150 - q**4/2 - 64*q**3/15 - 9*q**2 + 2*q. Find d, given that l(d) = 0.
-2, 32
Suppose 32/3*o**3 + 16/3*o**4 + 0*o**2 + 0*o + 0 + 2/3*o**5 = 0. Calculate o.
-4, 0
Suppose 10 = 5*f - 5*r - 20, -f + 3*r = -8. Suppose f = 5*k - 10. Factor -6*g**4 + 34 - 14 - 3*g**3 - 20 - k*g**5.
-3*g**3*(g + 1)**2
Let t(o) be the second derivative of 0*o**2 + 0*o**3 + 0 - 1/135*o**6 + 0*o**4 + 0*o**5 - 31*o - 1/189*o**7. Determine x, given that t(x) = 0.
-1, 0
Let h(l) be the third derivative of 0*l**7 - 1/360*l**6 + 0*l + 0*l**3 + 0 + 10*l**2 + 1/1008*l**8 + 0*l**5 + 0*l**4. Let h(k) = 0. What is k?
-1, 0, 1
Factor 1/8*t**4 + 0 - 1/8*t**3 - 1/4*t**2 + 0*t.
t**2*(t - 2)*(t + 1)/8
Let m(y) be the first derivative of -2*y**6/21 - 4*y**5/35 + 6*y**4/7 + 16*y**3/21 - 16*y**2/7 - 361. Find u such that m(u) = 0.
-2, 0, 1, 2
Let f(c) be the third derivative of -c**6/360 - c**5/15 - 2*c**4/3 + 4*c**3 - 6*c**2. Let n(d) be the first derivative of f(d). Factor n(y).
-(y + 4)**2
Let y(z) be the first derivative of 4*z**3/21 - 2*z**2/7 - 11. Factor y(a).
4*a*(a - 1)/7
Let d(l) be the first derivative of 2*l**5/15 + 13*l**4/6 - 58*l**3/9 + 5*l**2 + 184. Factor d(y).
2*y*(y - 1)**2*(y + 15)/3
Determine f, given that 0 + 7/4*f**2 - 1/4*f**3 - 3/2*f = 0.
0, 1, 6
Factor -5*o**5 - 198*o**4 + 95*o**4 + 2*o**5 + 82*o**4 + 24*o**3.
-3*o**3*(o - 1)*(o + 8)
Let l be (-6)/((-5)/((-40)/12)). Let w be (-8)/(-2) + l + 4. Determine c so that 7*c**3 + 2*c**3 + 3*c**4 + 3*c**w + 5*c**2 - 2*c**2 = 0.
-1, -1/2, 0
Let m(r) be the third derivative of 0*r + 1/84*r**8 - 1/15*r**6 - r**2 + 0*r**3 + 1/6*r**4 + 0*r**5 + 0*r**7 + 0. Determine n, given that m(n) = 0.
-1, 0, 1
Solve 3*y**4 - 5*y**2 + 4126*y**5 + 3*y**3 - 4129*y**5 + 2*y**2 = 0 for y.
-1, 0, 1
Let t(c) = 8*c**3 + 19*c**2 + 26*c - 5. Let p(w) = -12*w**3 - 28*w**2 - 40*w + 8. Let v(u) = -5*p(u) - 8*t(u). Let v(a) = 0. What is a?
-2, -1, 0
Let i(s) = -2*s**4 + 4*s**3 - 10*s**2 + 2*s. Let j(w) = -3*w**4 + 4*w**3 - 11*w**2 + 3*w. Let o(h) = 7*i(h) - 6*j(h). Factor o(q).
4*q*(q - 1)*(q + 1)**2
Suppose -1 = -5*s - 11. Let r = s - -7. Factor -4*g**2 - 3 - 8*g + r*g**2 - 6*g**2 - 1 - g**3.
-(g + 1)*(g + 2)**2
Let m = 88 + -86. Suppose 28*k**m + 11*k - 5*k**4 - 3*k**4 + 8*k**3 + 4*k**4 + 5*k = 0. Calculate k.
-1, 0, 4
Let z(u) be the third derivative of -u**5/15 - 3*u**4/2 - 12*u**3 - 62*u**2. Factor z(l).
-4*(l + 3)*(l + 6)
Suppose 0 = 5*d + 8*d - 52. Find j such that -33*j + 28*j - 11*j**2 + 0*j**4 + 0*j**d - j**4 - 7*j**3 = 0.
-5, -1, 0
Factor 4/7*w**2 + 0 + 4/7*w.
4*w*(w + 1)/7
Factor 45*h**4 + 9/2*h**2 - 111/4*h**3 + 0*h + 0 - 27/4*h**5.
-3*h**2*(h - 6)*(3*h - 1)**2/4
Let v = 160 - 160. Suppose v = -6*t + 44 - 44. Suppose 12/5*l**2 + 15*l**4 + t*l + 0 - 12*l**3 = 0. Calculate l.
0, 2/5
Let j(l) be the second derivative of l**7/7 - 7*l**6/15 - 17*l**5/30 - l**4/6 + 182*l. Suppose j(v) = 0. What is v?
-1/3, 0, 3
Factor 2*r**3 - 3*r**2 + 1/2*r**5 - 5/2*r + 0 + 3*r**4.
r*(r - 1)*(r + 1)**2*(r + 5)/2
Let f(g) be the third derivative of g**5/270 - 2*g**4/9 + 23*g**3/27 - 42*g**2. Factor f(r).
2*(r - 23)*(r - 1)/9
Suppose k - 17 + 13 = 0. Suppose 3*l - d + k = d, 10 = 5*d. Factor l*q**2 + 6/5*q**4 + 0*q**3 + 0 - 3/5*q**5 + 0*q.
-3*q**4*(q - 2)/5
Let q(a) be the first derivative of 3/10*a**4 + 46 + 6/5*a**3 - 18/5*a - 3/5*a**2. Solve q(o) = 0.
-3, -1, 1
Let z(y) be the third derivative of y**6/600 + y**5/75 - y**4/24 + 2*y**2 - 10. Factor z(n).
n*(n - 1)*(n + 5)/5
Let h be (-8)/(-91)*14/4. What is o in -8/13*o + 6/13*o**3 - 2/13*o**5 + 0 + 8/13*o**2 - h*o**4 = 0?
-2, 0, 1
Let x(n) = -14*n**2 + 117*n + 131. Let c(i) = i**2 + 2*i + 1. Let t(w) = -9*c(w) - x(w). Find k such that t(k) = 0.
-1, 28
Suppose -5*o - 6*o = -11. Factor 28*u**2 - 5 - 27*u**2 + o.
(u - 2)*(u + 2)
Find d such that -2/7*d**5 + 32/7*d + 64/7*d**2 + 30/7*d**3 - 4/7*d**4 + 0 = 0.
-4, -1, 0, 4
Let t(z) be the first derivative of 0*z**4 + 2*z**2 + 2 + 0*z**5 + 0*z**6 + 0*z**3 + 1/315*z**7 + 0*z. Let x(q) be the second derivative of t(q). Factor x(g).
2*g**4/3
Let s(r) be the second derivative of r**5/5 + 49*r**4/3 + 1150*r**3/3 - 1250*r**2 + 16*r. Factor s(h).
4*(h - 1)*(h + 25)**2
Factor 13/2*g**3 + 51/2*g**2 + 63/2*g + 1/2*g**4 + 0.
g*(g + 3)**2*(g + 7)/2
Let c = 22862119849/1147 + -59796335/3. Let w = 2/1147 - c. Factor -2/3*x**3 + 16/3*x**2 + 0 - w*x.
-2*x*(x - 4)**2/3
Factor 12/5*r**2 + 32/5 - 36/5*r - 1/5*r**3.
-(r - 8)*(r - 2)**2/5
Let a(m) be the second derivative of m**7/273 + 2*m**6/65 - 3*m**5/26 + 4*m**4/39 - 203*m. Find l such that a(l) = 0.
-8, 0, 1
Let t(u) = -15*u**3 + 12*u**2 + 6*u + 3. Let f(j) = 7*j + 15*j**2 + 4 + 4*j**2 - 6*j**2 - 16*j**3. Let y(z) = 3*f(z) - 4*t(z). Solve y(g) = 0.
-1/4, 0, 1
Suppose l + 2*s = 0, -5*l - 2*s = -8*l + 8. Factor 9/4 + 15/2*g + 25/4*g**l.
(5*g + 3)**2/4
Factor 7/5*b**3 + 9/5*b**2 - 12/5*b - 4/5.
(b - 1)*(b + 2)*(7*b + 2)/5
Let t(n) be the first derivative of -n**7/1680 + n**6/360 + n**3 - 9. Let a(r) be the third derivative of t(r). Factor a(j).
-j**2*(j - 2)/2
Factor 14/5*n**2 - 184/5 - 128*n.
2*(n - 46)*(7*n + 2)/5
Determine c so that 17/3*c - 1/3*c**2 + 0 = 0.
0, 17
Let c(z) = -z. Let q(s) = -6*s + 7. Let r(t) = 5*c(t) - q(t). Let f be r(9). Factor -5*x**3 - 10*x**f + 3*x**2 + 0*x**2 - 2*x.
-x*(x + 1)*(5*x + 2)
Let x(u) be the third derivative of -u**6/960 - u**5/48 - u**4/6 - 2*u**3/3 - 205*u**2. Factor x(c).
-(c + 2)*(c + 4)**2/8
Let n = 35 - 10. Factor -29 + 24*i**4 - 27*i + 16*i**4 + 198*i**2 - 164*i**3 - n.
(2*i - 3)**3*(5*i + 2)
Let d(k) be the first derivative of -k**4 + 20*k**3/3 - 8*k**2 - 40. Factor d(m).
-4*m*(m - 4)*(m - 1)
Suppose -4*b - 11*t = -9*t - 20, 0 = t - 4. Find n such that -b*n**3 + 6*n**4 + n**2 + 13*n**3 + 6*n**3 - 11*n**2 - 12*n = 0.
-3, -2/3, 0, 1
Suppose 12*i - 65 = 13*i. Let h = i - -67. What is p in