 + 36*k(p). Let x(a) = 0. What is a?
-2, 0, 2/3
Let t = -2 + 5. Factor p**t - 4*p**5 - 4*p**5 + 7*p**5.
-p**3*(p - 1)*(p + 1)
Let j(s) = 5*s**3 - 39*s**2 + 141*s - 129. Let r(i) = -20*i**3 + 155*i**2 - 565*i + 515. Let o(w) = 25*j(w) + 6*r(w). Factor o(m).
5*(m - 3)**3
Let h(j) = -j**2. Let k(v) = v**3 - 2*v**2 + 5*v. Let t(i) = 4*h(i) + k(i). Let u be t(5). Let 1/2*d**2 + u*d - d**3 + 1/2*d**4 + 0 = 0. Calculate d.
0, 1
Let k = 50 - 45. Suppose k = -4*h + 13. Factor -2/7*m**h + 0 + 0*m.
-2*m**2/7
Let d = -3/1010 + 13641/2020. Factor -1/4*s**4 - 9/2*s**2 + 0*s + d + 2*s**3.
-(s - 3)**3*(s + 1)/4
Factor -4*n**5 + 14*n**4 - 12*n**5 - 4*n**3 + 6*n**5.
-2*n**3*(n - 1)*(5*n - 2)
Let b(s) be the first derivative of s**4 - 4*s**3 + 16*s - 25. Factor b(t).
4*(t - 2)**2*(t + 1)
Solve -13/2*a**2 - 11/2 - 1/2*a**3 - 23/2*a = 0 for a.
-11, -1
Suppose 18 = 4*v - 2*v. Factor 9*j - 1 + v*j**2 + 3*j**3 - 1 + 0 + 5.
3*(j + 1)**3
Let f(g) = -5*g**2 + 4 + 17*g + 0 - 11*g. Suppose -4*r + 2*z + 3 - 5 = 0, 5*z = r + 23. Let a(j) = -j. Let x(p) = r*a(p) - f(p). Factor x(q).
(q - 2)*(5*q + 2)
Let i(s) be the third derivative of -s**6/1200 + s**4/240 - 25*s**2. Factor i(b).
-b*(b - 1)*(b + 1)/10
Let w be ((-3)/(-42))/((36/(-8))/(-9)). Let u(x) be the first derivative of 3 - 4/21*x**3 + w*x**2 + 4/7*x - 1/14*x**4. Determine s so that u(s) = 0.
-2, -1, 1
Suppose 0 = 5*v + 2*v + 2*v. Let c(m) be the second derivative of -1/60*m**5 + 3*m - 1/18*m**3 + 0*m**2 + v + 1/18*m**4. Factor c(j).
-j*(j - 1)**2/3
Factor -4*g + 12 + 1/3*g**2.
(g - 6)**2/3
Let b(s) = -23*s**3 + 12*s**2 + 6*s - 12. Let t(q) = -8*q**3 + 4*q**2 + 2*q - 4. Let l(k) = 6*b(k) - 17*t(k). Find h, given that l(h) = 0.
-1, 1, 2
Let m(p) be the third derivative of 1/672*p**8 - 1/60*p**5 + 0*p + 1/140*p**7 + 3*p**2 + 1/120*p**6 - 1/16*p**4 + 0 - 1/12*p**3. Factor m(h).
(h - 1)*(h + 1)**4/2
Let i(m) = m**2 + 4*m - 12. Suppose 2*z - 5*b + 2 = 0, -z - 4*b + b = 12. Let f be i(z). Factor 4/5*t + f - 14/5*t**2 + 288/5*t**4 - 16*t**3.
2*t*(4*t - 1)**2*(9*t + 2)/5
Let k(g) be the first derivative of -6/5*g**2 - 1 + 3/5*g + 3/5*g**3. Let k(b) = 0. What is b?
1/3, 1
Let l(j) be the first derivative of -j**5/60 + j**4/36 + 5*j**3/18 + j**2/2 - 2*j + 3. Let x(w) be the first derivative of l(w). Factor x(y).
-(y - 3)*(y + 1)**2/3
Let s(d) = d**5 + d**4 - d**3 - d**2 - d. Let g(o) = -2*o**5 - 9*o**4 - 5*o**3 + 7*o**2 - o. Let r(w) = -g(w) + s(w). Factor r(z).
z**2*(z + 2)**2*(3*z - 2)
Suppose -y - 12 = 2*y. Let q be 6/88 + y/(-22). Factor 0 + 1/4*u**4 + 0*u + 1/4*u**3 - 1/4*u**2 - q*u**5.
-u**2*(u - 1)**2*(u + 1)/4
Factor 1/2*t**2 - 1/2*t - 1.
(t - 2)*(t + 1)/2
Factor -3/4*u**5 + 3*u**4 + 0*u + 0 + 0*u**2 - 9/4*u**3.
-3*u**3*(u - 3)*(u - 1)/4
Let m(o) = 3*o**3 - 4*o**2 + 7*o + 2. Let n(f) = 4*f**3 - 5*f**2 + 8*f + 3. Let z(a) = -5*m(a) + 4*n(a). Suppose z(g) = 0. Calculate g.
-2, 1
Let j(p) be the first derivative of 4*p**6/3 - 6*p**5/5 - 5*p**4/2 + 2*p**3 + p**2 + 2. Solve j(k) = 0 for k.
-1, -1/4, 0, 1
Suppose 10 = 7*k - 4. Find y such that 1/4*y**k + 0 + 1/4*y = 0.
-1, 0
Let q(v) = v**4 + v**3 + v**2. Let j(d) = -4*d - 9*d**2 + 6*d - 3*d**3 - 5*d**4 + 6*d**3. Suppose -3*n + 3 = -2*n. Let z(m) = n*q(m) + j(m). Factor z(f).
-2*f*(f - 1)**3
Suppose -3*d + 0 = -i + 1, -d + 21 = 5*i. Suppose i = -l - 4*o + 2*o, -o + 7 = 5*l. Factor 1/2*r**l + 1 + 3/2*r.
(r + 1)*(r + 2)/2
Let f(p) be the third derivative of -p**5/110 + p**4/11 - 4*p**3/11 + 11*p**2. Suppose f(t) = 0. What is t?
2
Let o(v) = 54*v**4 + 30*v**3 - 114*v**2 + 46*v - 4. Let i(s) = 55*s**4 + 30*s**3 - 113*s**2 + 47*s - 4. Let m(z) = -4*i(z) + 5*o(z). Let m(p) = 0. What is p?
-2, 1/5, 1
Let f be (-2)/5 - (-674)/1680. Let c(z) be the third derivative of 1/80*z**6 + 0 + 1/6*z**3 + 2*z**2 + f*z**7 + 13/240*z**5 + 1/8*z**4 + 0*z. Factor c(i).
(i + 1)**2*(i + 2)**2/4
Let w(p) be the third derivative of -3/16*p**4 + 3*p**2 - 1/80*p**5 + 0*p - 9/8*p**3 + 0. What is z in w(z) = 0?
-3
Factor -24/5*o**2 - 1/5*o**3 - 192/5*o - 512/5.
-(o + 8)**3/5
Suppose 15*v - 40*v = 0. Factor -3*o**2 - 4*o**3 + v*o + 1/2 - 3/2*o**4.
-(o + 1)**3*(3*o - 1)/2
Solve -18/7*n**2 - 3/7*n**4 - 3/7 - 12/7*n**3 - 12/7*n = 0 for n.
-1
Let s = 126 - 122. Let x(o) be the second derivative of 0*o**2 + 1/54*o**s + 0 + 3*o - 2/27*o**3. What is n in x(n) = 0?
0, 2
Let i = 41641/60 + -694. Let h(s) be the third derivative of 2/105*s**7 - 1/168*s**8 + 0 + 0*s**4 + 0*s + 2*s**2 - i*s**6 + 0*s**5 + 0*s**3. Factor h(a).
-2*a**3*(a - 1)**2
Let l be 7/(-14)*(-4 + -2). Let t(c) be the third derivative of 0*c**3 + 1/180*c**5 + l*c**2 + 0 + 0*c**4 + 0*c. Solve t(z) = 0.
0
Let i(v) be the third derivative of v**9/5040 + v**8/1400 - v**6/300 - v**5/200 - v**3/6 - 7*v**2. Let s(m) be the first derivative of i(m). Factor s(b).
3*b*(b - 1)*(b + 1)**3/5
Let q(v) = 9*v**2 + 17*v - 2. Let f(h) = h**2 + h + 1. Let k(a) = 24*f(a) - 3*q(a). Factor k(p).
-3*(p - 1)*(p + 10)
Let b(s) be the third derivative of s**4/24 - 5*s**3/6 - 4*s**2. Let y be b(5). Factor y - 33/4*n**2 + 3/2*n.
-3*n*(11*n - 2)/4
Suppose -2/3*t**2 - 8/3 - 8/3*t = 0. What is t?
-2
Let q(s) be the third derivative of -s**5/270 + s**4/27 + 5*s**3/27 + 2*s**2. Solve q(k) = 0.
-1, 5
Let w(m) = m**3 + 2*m**2 + 2. Let l be w(0). What is v in v + 6*v - v**l - v**2 - v = 0?
0, 3
Let -202 - 2*t**2 + 3*t + 162 + 9*t + 6*t**2 = 0. What is t?
-5, 2
Suppose t + 3*z = -2*t + 6, t + 4*z - 8 = 0. Factor 0 + t*c - 2/7*c**3 + 0*c**2.
-2*c**3/7
Let t = 1399/99 - 153/11. Determine f, given that -t*f**2 + 0 - 2/3*f = 0.
-3, 0
Solve 25*x**2 - 8*x - 34*x**2 - 35*x**2 = 0 for x.
-2/11, 0
Let v(o) = o**2. Let q be v(0). Let w(j) be the second derivative of 1/20*j**6 + 1/8*j**4 + 0*j**2 + 0*j**3 + 3/20*j**5 + q - 2*j. Factor w(a).
3*a**2*(a + 1)**2/2
Suppose 3 = -2*n + 35. Factor n*f**2 + f + 11*f + 4*f**2 + 2 - 2*f**2 + 8*f**3.
2*(f + 1)**2*(4*f + 1)
Factor 0 - 9/5*r**3 + 2/5*r**2 + 7/5*r**4 + 0*r.
r**2*(r - 1)*(7*r - 2)/5
Determine x, given that 4/3*x**3 + 0*x**2 + 0 + 4/3*x**5 + 0*x + 8/3*x**4 = 0.
-1, 0
Determine y so that 1 + 27 - 8 - 20*y**2 - 4 - 76*y = 0.
-4, 1/5
Let y be ((-10)/(-25))/(2/10). Let i be y*(2 - 0 - 1). Factor 4 + 6*m**3 - 6*m**4 - 2*m**i - 4 + 2*m**5.
2*m**2*(m - 1)**3
Let t(u) be the first derivative of -u**4/16 - u**3/2 - 3*u**2/2 - 2*u + 2. Find w, given that t(w) = 0.
-2
Suppose -2*j - 5*h = -20 - 30, 18 = j - h. Let v = -18 + j. Solve 0 + 1/2*f**v - 1/2*f = 0.
0, 1
Factor 1/3*m + 4/9*m**4 + 8/9*m**3 + 0 - 11/9*m**2.
m*(m + 3)*(2*m - 1)**2/9
Let n(w) be the first derivative of -w**3/6 + w**2 - 2*w - 2. Factor n(q).
-(q - 2)**2/2
Let g = 167/2 - 807/10. Let s = -12 + 14. Factor -g*k + 12/5*k**s + 4/5.
2*(2*k - 1)*(3*k - 2)/5
Let b(m) be the first derivative of m**4/48 + m**3/8 + m**2/4 - 2*m - 5. Let d(n) be the first derivative of b(n). Let d(w) = 0. Calculate w.
-2, -1
Suppose 2*p - p - 7 = 0. Let q = -4 + p. Determine s so that -s**5 + 9*s**4 + 8 + 38*s**2 + 3*s**q - s**4 - 28*s**3 - 28*s = 0.
1, 2
Let q(k) = 90*k**2 - 725*k - 505. Let u(c) = 23*c**2 - 181*c - 126. Let x(p) = -4*q(p) + 15*u(p). Factor x(h).
-5*(h - 13)*(3*h + 2)
Let d(t) be the first derivative of 3*t**5/5 + 15*t**4/2 + 12*t**3 - 108*t**2 + 18. Factor d(v).
3*v*(v - 2)*(v + 6)**2
Let l(b) = 5*b**2 + 2*b + 17. Let q(w) = -3*w**2 - w - 11. Let o(f) = 5*l(f) + 8*q(f). Suppose o(p) = 0. What is p?
-3, 1
Factor -1/2 - 2*c - 2*c**3 - 3*c**2 - 1/2*c**4.
-(c + 1)**4/2
Let z be 0 - ((-1)/1 - 1 - 0). Find k such that 0*k - 4/3*k**3 - 8/3*k**z + 2*k**4 + 4/3*k**5 + 2/3 = 0.
-1, 1/2, 1
Factor 84/5*u**2 - 588/5*u - 4/5*u**3 + 1372/5.
-4*(u - 7)**3/5
Let p be 14/4 - (-3)/2. Let u(a) be the third derivative of 0*a + 0 + a**2 - 1/60*a**6 + 1/12*a**4 + 1/30*a**p - 1/3*a**3. Factor u(c).
-2*(c - 1)**2*(c + 1)
What is y in -5/4*y**2 + 2 + 9/2*y = 0?
-2/5, 4
Let t(u) = u**2 + 10*u - 9. Let n be t(-11). Solve 0*b + 43 + 0*b + 2*b**n - 45 = 0 for b.
-1, 1
Let o(w) be the second derivative of w**7/7560 - w**6/540 + w**5/90 - w**4/12 + 2*w. Let t(s) be the third derivative of o(s). Factor t(y).
(y - 2)**2/3
Let l(o) = -o**3 + 5*o**2 + o - 5. Let h be l(5). Let v(j) = j**3 + 2*j**2 - 2*j. Let i be v(-2). Find x, given that 0 - i*x - 2 + h + 6*x**2 = 0.
-1/3, 1
Let i(h) be the second derivative of -h**6/30 - 3*h**