tive of l(p). Factor n(s).
3*s**2*(s + 1)**2*(2*s + 1)
Determine k so that 3*k - 1 - 11/4*k**2 + 3/4*k**3 = 0.
2/3, 1, 2
Let u be (105/(-12) + 9)*20. Factor 0 + 0*q + 0*q**4 - 1/4*q**u + 0*q**2 + 1/4*q**3.
-q**3*(q - 1)*(q + 1)/4
Let q(n) = 5*n**3 - 5*n - 7. Let j(x) = -2*x**3 + 4*x**3 - 2*x - 3 + 2*x**3 - 2*x**3. Let y(v) = 7*j(v) - 3*q(v). Factor y(z).
-z*(z - 1)*(z + 1)
Let l(f) be the second derivative of f**4/12 - f**3/6 - 2*f**2 + f. Let z be l(3). Determine q so that -z*q**2 - 5*q**3 + q**4 + 2*q**4 - 7*q**4 - q**5 = 0.
-2, -1, 0
Let w(u) be the third derivative of 0 + 3*u**2 + 1/15*u**5 + 0*u**3 + 0*u - 1/60*u**6 - 1/12*u**4. Determine x so that w(x) = 0.
0, 1
Let d(f) be the first derivative of 3*f**4/22 + 2*f**3/11 - 3*f**2/11 - 6*f/11 - 12. Determine q so that d(q) = 0.
-1, 1
Suppose -2*s + 3 = 3*r + 8, -5*s + 3*r - 23 = 0. Let l be 0 + (2 + -4 - s). Let 4/7*v**l + 2*v**3 - 2*v - 4/7 = 0. Calculate v.
-1, -2/7, 1
Factor 4/9*f**2 + 0*f + 0*f**3 - 2/9 - 2/9*f**4.
-2*(f - 1)**2*(f + 1)**2/9
Let s(o) = o + 10. Let m be s(-6). Suppose -2*g + r = -0*r - 10, -5*r + 20 = m*g. Factor 0*j - 3/4*j**g + 0 + 0*j**2 + 0*j**4 + 3/4*j**3.
-3*j**3*(j - 1)*(j + 1)/4
Suppose 0 = -h + 2*h - 2. Let j = 11 + -7. Factor 1 - 6*y**h + j*y - 1 + 2*y**3.
2*y*(y - 2)*(y - 1)
Let k = -16/61 - -947/122. Determine t, given that -3*t - k*t**2 - 3/2*t**4 - 6*t**3 + 0 = 0.
-2, -1, 0
Let x be (-395)/(-35) + -5 + -6. Factor 2/7 + x*k**2 + 4/7*k.
2*(k + 1)**2/7
Let h(j) be the first derivative of -j**4/12 + j**3/2 - j**2 + 2*j - 2. Let q(i) be the first derivative of h(i). Factor q(r).
-(r - 2)*(r - 1)
Let y(x) be the third derivative of -1/2*x**5 - 1/3*x**3 + 0 - 4/105*x**7 + x**2 + 7/12*x**4 + 13/60*x**6 + 0*x. Factor y(z).
-2*(z - 1)**3*(4*z - 1)
Suppose 17 = 5*u - 8. Let y(m) be the third derivative of 0*m**3 + 1/60*m**6 + 0 + 0*m**u - 2*m**2 + 0*m + 1/210*m**7 + 0*m**4. Suppose y(n) = 0. What is n?
-2, 0
Let r = -27/8 + 97/24. Solve -r*z + 4/3*z**2 - 2*z**5 - 4/3*z**4 + 8/3*z**3 + 0 = 0 for z.
-1, 0, 1/3, 1
Suppose 5*q - 1 = -3*f, -f = f + 2*q - 2. Let -19/9*g**3 - 1/3*g**5 + 4/9*g + 14/9*g**4 + 4/9*g**f + 0 = 0. Calculate g.
-1/3, 0, 1, 2
Let p = 1396/4935 - -2/705. Factor 0*i**3 - 4/7*i - 6/7*i**2 + p*i**4 + 0.
2*i*(i - 2)*(i + 1)**2/7
Find t, given that -4 - t**3 - 2*t + 3*t**3 - 4*t = 0.
-1, 2
Let s(r) be the first derivative of -2*r**3/3 - 2*r**2 - 5*r - 15. Let z(c) = 14 + 8*c + 8*c**2 + 4*c - 2*c**2. Let g(n) = -8*s(n) - 3*z(n). Factor g(i).
-2*(i + 1)**2
Let r(p) be the second derivative of p**6/720 - p**4/48 + p**3/6 - 2*p. Let m(h) be the second derivative of r(h). Factor m(o).
(o - 1)*(o + 1)/2
Determine s so that 3*s**3 + 0*s**3 - 10*s**2 + 16*s - 24 - 8*s**2 + 20*s = 0.
2
Let n(g) be the third derivative of -g**6/360 + g**4/72 - 2*g**2. What is i in n(i) = 0?
-1, 0, 1
Let n(b) = b - 22. Let o be n(15). Let m = -5 - o. Let -4/5*d + 2/5*d**m + 0 = 0. What is d?
0, 2
Let q = 325/2 - 157/4. Let t = 124 - q. Solve 0 - 5/4*o**3 + t*o**5 + 1/4*o**4 + 1/2*o - 1/4*o**2 = 0.
-1, 0, 2/3, 1
Let v(f) = -f**4 - f**3 + f**2 + 1. Let n(l) = -l**5 + l**4 + l**3 - 5*l**2 - 4. Let g(s) = 3*n(s) + 12*v(s). Determine h, given that g(h) = 0.
-1, 0
Find k such that -4*k - 86/3*k**3 + 62/3*k**2 + 6*k**4 + 6*k**5 + 0 = 0.
-3, 0, 1/3, 2/3, 1
Let l(m) = 6*m**3 - 3*m**2 + 4*m - 8. Let u(h) = -3*h - 4*h**3 - 3*h**2 - h**3 + 6*h**2 + 7. Let n(b) = 6*l(b) + 7*u(b). Determine p, given that n(p) = 0.
-1
Let p(m) be the third derivative of 0*m**7 + 1/112*m**8 - 1/20*m**6 + 0*m**3 + 0*m + 1/8*m**4 + 0 + 0*m**5 - m**2. Factor p(b).
3*b*(b - 1)**2*(b + 1)**2
Factor 6*o + 14172 - 2*o**3 + 4*o**2 - 14172.
-2*o*(o - 3)*(o + 1)
Let o = -61 - -61. Let n(q) be the second derivative of 0 - 1/6*q**4 + 4*q + o*q**3 - 1/15*q**6 + 0*q**2 + 1/5*q**5. Factor n(m).
-2*m**2*(m - 1)**2
Let j be (12*(-12)/(-54))/(2/3). Suppose r = -4*s + s, s = 3*r. Determine o, given that -4/5*o - 14/5*o**2 + s + 4/5*o**3 + 14/5*o**j = 0.
-1, -2/7, 0, 1
Let r(q) = -3*q**3 - 4*q**2 - q + 1. Let n(w) = -4*w**3 - 4*w**2 + 2. Let g(i) = 4*n(i) - 5*r(i). Let s be g(5). Factor -k**2 - 1 + 1 - k + k**4 + k**s.
k*(k - 1)*(k + 1)**2
Let y(x) be the third derivative of x**5/100 + 7*x**4/10 + 98*x**3/5 - 9*x**2. Factor y(q).
3*(q + 14)**2/5
Let w(z) be the third derivative of -z**6/144 + z**5/48 + 5*z**4/24 + 3*z**3/2 - 8*z**2. Let i(y) be the first derivative of w(y). Factor i(h).
-5*(h - 2)*(h + 1)/2
Let d(m) = -m. Let p be d(-8). Factor 14*g**3 + 3*g**4 - p*g**4 + 16*g**2 + 5*g - 5*g**4 - 13*g.
-2*g*(g - 2)*(g + 1)*(5*g - 2)
Suppose 0 = -z - z + 6. Let b be 1/2*24/z. Let 5*h**2 - b*h**2 + 2*h - 3*h**2 = 0. What is h?
0, 1
Find s such that 3*s**2 + 12/5*s + 3/5*s**3 + 0 = 0.
-4, -1, 0
Let t(d) be the second derivative of d**6/10 + 3*d**5/20 - d**4/2 + 7*d. Suppose t(r) = 0. Calculate r.
-2, 0, 1
Let g = 25 - 21. Let w(f) be the first derivative of 1/4*f**g + 4/9*f**3 - 2/3*f - 1/6*f**2 - 1. Factor w(p).
(p + 1)**2*(3*p - 2)/3
Let p(a) be the second derivative of -a**7/945 + a**6/270 - a**4/54 + a**3/27 - a**2/2 - a. Let o(s) be the first derivative of p(s). Factor o(y).
-2*(y - 1)**3*(y + 1)/9
Let t(y) be the third derivative of -3*y**2 + 0*y**4 + 1/1008*y**8 - 1/360*y**6 + 0*y**7 + 0 + 0*y + 0*y**5 + 0*y**3. Factor t(p).
p**3*(p - 1)*(p + 1)/3
Let a be ((-4)/(-6))/((-2)/18). Let k be ((-14)/a)/((-4)/(-24)). Factor -22*v**2 - 32*v**3 + 7 - k*v**4 - 4*v - 7.
-2*v*(v + 1)**2*(7*v + 2)
Let s(x) be the third derivative of x**6/40 + 3*x**5/20 + x**4/4 + 17*x**2. Determine h, given that s(h) = 0.
-2, -1, 0
Let j = -31 + 125/4. Suppose 1/4*y**5 - 1/4*y**3 - j*y**4 + 0*y + 1/4*y**2 + 0 = 0. What is y?
-1, 0, 1
Let q(m) be the second derivative of 1/120*m**6 + 0*m**4 + 0 + 1/40*m**5 - 1/168*m**7 + 0*m**3 - 4*m + 0*m**2. Determine r, given that q(r) = 0.
-1, 0, 2
Let r = -22 + 24. Let i(d) be the second derivative of -1/27*d**3 + 0*d**r - d + 1/54*d**4 + 0. Determine x so that i(x) = 0.
0, 1
Let i be (-25)/2*(-4)/5. Let q = i + -8. Factor 1/3*w**q - 1/3*w**4 + 1/3*w**3 + 0 - 1/3*w.
-w*(w - 1)**2*(w + 1)/3
Let y(t) = -t**2 - 7*t - 2. Let f be y(-6). Factor -2*q**3 + q**3 - 2*q + 3*q**2 - 2*q**f - 9*q**2 - 5*q**3.
-2*q*(q + 1)**3
Factor -12/7*q - 8/7 - 4/7*q**2.
-4*(q + 1)*(q + 2)/7
Let y = 16 - 9. Factor -y*h**4 - 4*h**4 + 7*h**4.
-4*h**4
What is x in 61*x**3 + 9*x**2 + 3*x**4 + 61*x**3 - 134*x**3 = 0?
0, 1, 3
Let x be 1/((-28)/2 + 1). Let z = x + 16/39. Factor -1/3*h**2 - z*h + 0.
-h*(h + 1)/3
Let l = -75 + 301/4. Let 7/4*d + 1/2 - 1/2*d**4 - l*d**5 + 1/2*d**3 + 2*d**2 = 0. What is d?
-1, 2
Let s be (-124)/279 + (-22)/(-9). Suppose 8/9 + 2/9*m**s + 8/9*m = 0. What is m?
-2
Let a = -2/35 - -109/70. Let d(t) be the first derivative of a*t**2 - 3/4*t**4 + 2*t - 7/3*t**3 - 3 + t**5. Factor d(h).
(h - 1)**2*(h + 1)*(5*h + 2)
Let d be (-2)/(-3)*((-798)/(-60) + -13). Suppose 1 = -3*y + 7. Suppose 4/5 + d*t**y - 4/5*t = 0. Calculate t.
2
Let o(r) be the first derivative of r**6/51 + 2*r**5/17 + 5*r**4/17 + 20*r**3/51 + 5*r**2/17 + 2*r/17 + 1. Factor o(i).
2*(i + 1)**5/17
Factor 264/7*b + 16/7 + 2662/7*b**3 + 1452/7*b**2.
2*(11*b + 2)**3/7
Let c(g) be the first derivative of -26/5*g**5 + 0*g + 9/2*g**4 + 2 - 2*g**2 + 5/3*g**6 + 2/3*g**3. Factor c(n).
2*n*(n - 1)**3*(5*n + 2)
Let d(l) be the second derivative of -l**4/12 - l**3/2 - l**2 - 5*l. Factor d(v).
-(v + 1)*(v + 2)
Suppose -4 = 2*d - 0*d. Let j = 0 - d. Factor -6 + 6 - 4*i**3 - i**2 + j*i + 3*i**4.
i*(i - 1)**2*(3*i + 2)
Let -2/15*g**2 - 8/15*g + 2/3 = 0. Calculate g.
-5, 1
Let n be ((-24)/9)/((-2)/6). Factor -2*z + 3*z**2 - 8 + n - z**2.
2*z*(z - 1)
Suppose t - 5*h - 28 = 0, 2*t = -3*h - 4 + 8. Factor -6*g**3 + 3*g + 16*g**2 - 23*g + t + g**3 + g**3.
-4*(g - 2)*(g - 1)**2
Let t(h) be the second derivative of 2/9*h**2 - 2*h + 0 - 1/54*h**4 + 1/27*h**3. Factor t(q).
-2*(q - 2)*(q + 1)/9
Determine d so that 24/7*d - 3/7*d**2 - 48/7 = 0.
4
Determine z so that 2/9*z + 2/9 - 4/9*z**3 + 2/9*z**4 + 2/9*z**5 - 4/9*z**2 = 0.
-1, 1
Let i(f) be the first derivative of 3*f**7/70 + f**6/45 + 2*f**3 - 7. Let q(g) be the third derivative of i(g). Factor q(w).
4*w**2*(9*w + 2)
Determine f so that 10/7*f + 12/7*f**2 + 0 + 2/7*f**3 = 0.
-5, -1, 0
Let z(n) = n**2 - 27*n + 2. Let h(w) = -3*w. Let f(x) = 2