75 - 135*y**2 - 2559 - 16*y**3 - 2025*y.
-3*(y + 15)**3
Suppose 4*b + 5*h + 6 = -0, 5*b = -h + 3. Let w be (b - (2 - 2))*0. Factor w + 1/5*p**2 - 1/5*p.
p*(p - 1)/5
Solve 2*a**3 + a**2 - 2*a**2 + 2*a + 3*a**2 + 2*a**2 = 0.
-1, 0
Factor 2/5*i**2 + 7/5*i - 7/5*i**3 - 2/5.
-(i - 1)*(i + 1)*(7*i - 2)/5
Suppose 0 = -3*v - 5*y + 10, 0 = 3*v + 3*y - 1 - 11. Determine u so that -13 + v + u - 6*u**2 - 17*u = 0.
-2, -2/3
Let a(k) = -9*k**2 - 20*k - 20. Let g(r) = 8*r**2 + 20*r + 20. Let c(n) = -3*a(n) - 4*g(n). Factor c(p).
-5*(p + 2)**2
Factor 122 + 512*f + 192*f**2 + 13*f**3 + 19*f**3 + 4*f**4 - 2*f**4 + 390.
2*(f + 4)**4
Let h be 25/2 - 27/18. Suppose 2*a + 12*a**5 + h*a - 24*a**3 + 3*a**4 - a - 6*a**2 + 3 = 0. Calculate a.
-1, -1/4, 1
Let c = -425/4 + 213/2. Factor 1/4*k**4 - 1/4*k**2 + 0 - 1/4*k + c*k**3.
k*(k - 1)*(k + 1)**2/4
Let b(d) be the second derivative of -d**8/504 - d**7/315 + 5*d**2/2 - 9*d. Let v(h) be the first derivative of b(h). Factor v(q).
-2*q**4*(q + 1)/3
Let v(c) be the third derivative of -c**6/280 + c**5/140 + 9*c**4/56 - 9*c**3/14 + 18*c**2. Factor v(l).
-3*(l - 3)*(l - 1)*(l + 3)/7
Let z(g) = -g + 2. Let c be z(-14). Let x be (c/(-6))/((-6)/9). Solve b**3 - 1/2*b**x - 1/2*b + b**2 - 1/2 - 1/2*b**5 = 0 for b.
-1, 1
Let i(b) be the third derivative of b**9/50400 - b**8/50400 - b**7/4200 + b**6/1800 + b**5/30 - 2*b**2. Let s(v) be the third derivative of i(v). Factor s(t).
2*(t - 1)*(t + 1)*(3*t - 1)/5
Let c(a) be the third derivative of a**5/48 + 5*a**4/48 - 5*a**3/8 + 26*a**2. Suppose c(p) = 0. Calculate p.
-3, 1
Let d(r) be the second derivative of 7*r**4/12 + 5*r**3/3 + 3*r**2/2 - r + 13. Determine z so that d(z) = 0.
-1, -3/7
Let s = -77 - -80. Factor -2/9*h**4 + 0*h + 2/9*h**2 + 0 + 0*h**s.
-2*h**2*(h - 1)*(h + 1)/9
Let y(m) be the second derivative of 3/4*m**4 + m - 7/6*m**3 + 1/30*m**6 - 1/4*m**5 + m**2 + 0. What is a in y(a) = 0?
1, 2
Suppose 0 = 5*j - 15, 4*j = 4*k - 0*k. Let i(f) be the first derivative of 7/2*f**2 - 2*f + 2 + 4/3*f**k. Factor i(l).
(l + 2)*(4*l - 1)
Let q(z) = -7*z**4 - 9*z**3 - 7*z**2 - 5*z + 5. Let m = 2 - 0. Let b(i) = -3*i**4 - 4*i**3 - 3*i**2 - 2*i + 2. Let h(f) = m*q(f) - 5*b(f). Factor h(y).
y**2*(y + 1)**2
Let x(a) be the second derivative of 7*a**4/3 + a**3 - 2*a**2 - 4*a. Factor x(s).
2*(2*s + 1)*(7*s - 2)
Let r(i) be the second derivative of 0 + 0*i**4 - 3/20*i**5 + 2*i + 0*i**2 + 0*i**3. Find j such that r(j) = 0.
0
Let w be 12/(-9) + 132/99. Determine l so that 1/4*l**3 + 1/2*l**2 + w + 1/4*l = 0.
-1, 0
Let f(a) = 7*a**2 + 6*a + 3. Let d be f(-1). What is l in -3/5*l**5 + 0 - 9/5*l**3 + 3/5*l**2 + 9/5*l**d + 0*l = 0?
0, 1
Let b(f) be the first derivative of f**3 + 21*f**2/10 + 6*f/5 - 18. Factor b(a).
3*(a + 1)*(5*a + 2)/5
Let k(b) be the first derivative of b**5/15 + b**4/6 - 7*b**3/9 - 10*b**2/3 - 4*b - 13. Let k(n) = 0. What is n?
-2, -1, 3
Let y be 2*(1 + 4 + (2 - 5)). Factor 11/4*m**3 + 3/4*m**y + 2*m**2 - m + 0.
m*(m + 2)**2*(3*m - 1)/4
Let z(c) be the third derivative of -c**6/60 - c**5/6 - 7*c**4/12 - c**3 - 9*c**2. Factor z(i).
-2*(i + 1)**2*(i + 3)
Let o(g) be the second derivative of g**5/5 + g**4 + 4*g. Factor o(q).
4*q**2*(q + 3)
Let b(l) be the first derivative of -2*l**3/15 - l**2 - 8*l/5 + 2. Factor b(p).
-2*(p + 1)*(p + 4)/5
Let 4/9 - 14/9*g**5 - 14/9*g + 4/9*g**4 - 8/9*g**2 + 28/9*g**3 = 0. Calculate g.
-1, 2/7, 1
Let i(w) be the second derivative of -w**6/60 + w**5/20 - 5*w. Factor i(u).
-u**3*(u - 2)/2
Let x(g) be the first derivative of -g**6/120 - g**5/30 - g**4/24 - 2*g**2 - 1. Let q(m) be the second derivative of x(m). Find t such that q(t) = 0.
-1, 0
Let i = -155/3 + 52. Determine y so that 20/3*y**5 - 5*y**3 + 2/3*y - 8/3*y**4 + 0 + i*y**2 = 0.
-1/2, 0, 2/5, 1
Factor -5/2*j**2 + 25/4*j - 5/2.
-5*(j - 2)*(2*j - 1)/4
Let v(q) = q**3 + 12*q**2 + 10*q - 11. Let z be v(-11). Determine t, given that 2/3*t**3 + z + 0*t**2 + 0*t = 0.
0
Let g(c) = -4*c**2 - 51*c + 76. Let k be g(-14). Factor 6*t**3 - 3/2 + 3/2*t**2 - k*t.
3*(t - 1)*(t + 1)*(4*t + 1)/2
Let y(x) be the third derivative of 1/240*x**5 + 0 + 0*x**3 - 2*x**2 + 0*x - 1/96*x**4. Suppose y(d) = 0. Calculate d.
0, 1
Factor -2*j - 4*j + 2*j**3 - 11*j**3 + 21*j**2.
-3*j*(j - 2)*(3*j - 1)
Suppose 0*c = 2*c + 3*c. Factor -3/4*j**2 + 1/4*j + 3/4*j**3 + c - 1/4*j**4.
-j*(j - 1)**3/4
Let h be 2/(-2 - -3) - -2. What is f in -6*f**3 - 7*f**4 + 7*f**h + 6*f - 10*f**2 + 2 + 8*f**4 = 0?
-1, -1/4, 1
Let m(t) be the first derivative of -2*t**5/45 - t**4/9 + 2*t**2/9 + 2*t/9 + 9. Factor m(i).
-2*(i - 1)*(i + 1)**3/9
Suppose 13*l - 20 - 19 = 0. Let b(c) be the first derivative of 4 + 6/5*c**2 + 2/15*c**l + 18/5*c. Factor b(t).
2*(t + 3)**2/5
Factor 8/7 + 2/7*b**2 + 8/7*b.
2*(b + 2)**2/7
Suppose 2*i + 4*u + 1 + 7 = 0, 0 = 2*i - 4*u + 16. Let l be 1/(((-15)/i)/5). Factor 2/5 + 2/5*s**l + 4/5*s.
2*(s + 1)**2/5
Let u(d) be the first derivative of -d**5 + 5*d**3/3 - 19. Solve u(i) = 0 for i.
-1, 0, 1
Let s(b) be the third derivative of 0*b**5 + 0*b**4 + 1/3360*b**7 - 3*b**2 - 1/6*b**3 + 0*b + 0 + 0*b**6. Let u(k) be the first derivative of s(k). Factor u(t).
t**3/4
Let h(l) be the first derivative of -49*l**4/12 + 7*l**3 - 5*l**2/2 + l/3 - 1. Let h(b) = 0. Calculate b.
1/7, 1
Factor 0 + 20/3*l**4 - 12*l**2 + 4*l**3 + 4/3*l**5 + 0*l.
4*l**2*(l - 1)*(l + 3)**2/3
Let k(w) be the second derivative of -w**5/20 - w**4/4 - 2*w**2 + 2*w. Let f(t) = -2*t**3 - 7*t**2 - 9. Let q(o) = 4*f(o) - 9*k(o). Suppose q(j) = 0. What is j?
0, 1
Let w(u) be the first derivative of 2*u**5/85 - 2*u**3/51 + 12. Suppose w(j) = 0. What is j?
-1, 0, 1
Let o(w) = 20*w**2 - 20*w + 20. Let z(i) = -i**2 - i. Let t(l) = 2*o(l) + 28*z(l). Factor t(a).
4*(a - 5)*(3*a - 2)
Let v(i) be the first derivative of i**6/16 + 3*i**5/40 - 15*i**4/32 + 3*i**3/8 + 7. Factor v(p).
3*p**2*(p - 1)**2*(p + 3)/8
Let o(y) = y**3 + 3*y**2 + 2*y + 3. Let h be o(-2). Suppose -h*d - 5 = -j + 4, -3 = 4*j + d. Find w such that 0*w - 1/3 + j*w**3 - 1/3*w**4 + 2/3*w**2 = 0.
-1, 1
Let j(c) be the second derivative of -3*c**5/140 + 3*c**3/14 - 3*c**2/7 + 11*c. Find m such that j(m) = 0.
-2, 1
Let r = -98 - -101. Let f(l) be the third derivative of 1/210*l**5 + l**2 + 0*l + 0 - 1/21*l**r + 0*l**4. What is x in f(x) = 0?
-1, 1
Let u(p) be the first derivative of p**5/10 + p**4/3 - p**3/3 - 2*p**2 + 3*p + 7. Let m(t) be the first derivative of u(t). Let m(g) = 0. Calculate g.
-2, -1, 1
Suppose -5*k + 3 = -2*k. Let o be (-4)/(-4) - (-1)/k. Factor o + 2*l + 1/2*l**2.
(l + 2)**2/2
Factor 0 - 3/5*w - 8/5*w**2.
-w*(8*w + 3)/5
Let s(r) be the first derivative of 1/6*r**3 - 3 + 8*r - 2*r**2. Determine u so that s(u) = 0.
4
Suppose 5*l = -g + 26, 4*g - 3*l - 2*l + 21 = 0. Let p be g/(-15) - (-10)/25. Factor -1/3*u - 2/3 + p*u**2.
(u - 2)*(u + 1)/3
Factor 12*c**5 - 8 + 16*c**3 - 17*c**2 - 7*c**2 - 28*c + 32*c**4 + 0*c.
4*(c - 1)*(c + 1)**3*(3*c + 2)
Suppose i - 6*i + 25 = 0. Let k(w) be the second derivative of 1/6*w**3 - 1/3*w**4 + 1/42*w**7 + 0 + w**2 - 2*w - 1/10*w**i + 1/15*w**6. Solve k(p) = 0.
-2, -1, 1
Let g be (-68)/(-40) + (-1)/(-1). Let b(r) be the second derivative of 0 - 2*r**4 + 4/9*r**3 + 0*r**2 - r + g*r**5. Factor b(v).
2*v*(9*v - 2)**2/3
Let q(o) be the third derivative of -o**7/8820 + o**6/630 - o**5/140 + o**4/6 + 3*o**2. Let x(t) be the second derivative of q(t). Factor x(n).
-2*(n - 3)*(n - 1)/7
Factor -4/7*t**2 + 2/7*t**5 + 2/7*t**4 - 4/7*t**3 + 2/7 + 2/7*t.
2*(t - 1)**2*(t + 1)**3/7
Suppose -i + 6*i - s = 16, 2*i = 3*s + 9. Let n(f) be the second derivative of -1/5*f**5 + i*f + 0 - 1/15*f**6 + 2/3*f**3 + 0*f**4 + f**2. Factor n(u).
-2*(u - 1)*(u + 1)**3
Let 3/4*d**3 + 0*d**2 - 9/4*d + 3/2 = 0. What is d?
-2, 1
Solve 720 + 40*r + 2*r**2 + 44*r + 523 - 361 = 0 for r.
-21
Let s(j) = 5*j**2 + 14*j. Let g(d) = -3*d**2 - 9*d. Suppose -30 = -5*k - 4*x - 6, -2*k + 2*x + 24 = 0. Let v(u) = k*g(u) + 5*s(u). Let v(l) = 0. What is l?
0, 2
Let p be (78/(-195))/((-14)/5). Let 0*z**2 + 3/7*z - 2/7 - p*z**3 = 0. Calculate z.
-2, 1
Let j(h) be the first derivative of -h**6/8 + 3*h**5/10 - h**3/2 + 3*h**2/8 + 3. Solve j(v) = 0.
-1, 0, 1
Suppose 5*q = 3*o - 25, 25 = -5*q - o + 5*o. Let n = -7/2 - q. Factor -2*g + g**3 - 1/2*g**4 - 2 + n*g**2.
-(g - 2)**2*(g + 1)**2/2
Let k(g) be the first derivative