).
(5*b - 1)**3/5
Let b(l) = l**3 - l**2 - l + 1. Let n(x) = 3*x**4 + 6*x**3 - 12*x**2 - 6*x + 9. Let m(h) = 9*b(h) - n(h). Factor m(w).
-3*w*(w - 1)**2*(w + 1)
Let f(w) be the first derivative of -15*w**5/7 - 285*w**4/28 - 114*w**3/7 - 78*w**2/7 - 24*w/7 + 14. Solve f(c) = 0.
-2, -1, -2/5
Let c(o) be the first derivative of -o**4/24 + o**3/3 - o**2 + 4*o/3 + 9. Factor c(p).
-(p - 2)**3/6
Let q(t) = -t**2 + t + 1. Let b(n) = n**5 - 5*n**4 + 6*n**3 + 2*n**2 - 6*n + 2. Let d(g) = b(g) - 2*q(g). Factor d(m).
m*(m - 2)**3*(m + 1)
Let -8/7*m + 0 + 2/7*m**3 + 6/7*m**2 = 0. What is m?
-4, 0, 1
Let n(b) be the first derivative of 0*b - 1/3*b**3 + 3 - 1/3*b**4 + 1/6*b**2. Factor n(o).
-o*(o + 1)*(4*o - 1)/3
Suppose 0*t - 2 = t - 4*u, t - 5*u + 3 = 0. Solve 16*z**2 - z**3 + 0*z**3 - 18*z**t = 0 for z.
-2, 0
Let l(z) be the third derivative of z**8/168 - z**6/30 + z**4/12 + 4*z**2. What is a in l(a) = 0?
-1, 0, 1
Suppose -m - 4*m = -10. What is x in 9*x - x**5 - m*x**5 + 9*x**4 - 6*x**3 - 6 + 3 - 6*x**2 = 0?
-1, 1
Let o(x) = x**3 - 15*x**2 + x - 12. Let s be o(15). Let b(m) be the first derivative of 2/3*m + 5/9*m**s + 3 + 7/6*m**2. Find j such that b(j) = 0.
-1, -2/5
Let h = 124 - 124. Solve -3/7*c - 6/7*c**2 - 3/7*c**3 + h = 0 for c.
-1, 0
Let d = 2/15 - -1/5. Let h(m) be the first derivative of -m**2 + d*m**3 + 0*m + 3. Factor h(j).
j*(j - 2)
Let m(d) be the second derivative of -d**6/180 - d**5/180 + d**4/36 + d**3/18 + d**2/2 - d. Let o(i) be the first derivative of m(i). Solve o(p) = 0.
-1, -1/2, 1
Factor -3*f**5 - 3*f**4 + 6*f**5 + 0*f**3 + 3*f**2 - 5*f**3 + 2*f**3.
3*f**2*(f - 1)**2*(f + 1)
Let u(h) be the third derivative of -h**6/540 + h**5/270 + h**4/54 + 32*h**2. Factor u(t).
-2*t*(t - 2)*(t + 1)/9
Let v(d) be the first derivative of -d**3/3 - 11*d**2/18 - 2*d/9 - 13. Factor v(x).
-(x + 1)*(9*x + 2)/9
Solve 20/3 - 35/3*n + 10/3*n**2 + 5/3*n**3 = 0.
-4, 1
Suppose -60000 + 600*h**3 - 30*h**4 - 6000*h**2 + 3/5*h**5 + 30000*h = 0. Calculate h.
10
Let n = -2 - -5. Let m(q) be the second derivative of 3/8*q**5 - 5/24*q**6 + n*q - 1/2*q**3 - 1/2*q**2 + 11/48*q**4 + 0. Factor m(i).
-(i - 1)**2*(5*i + 2)**2/4
Find z such that 0*z - 10/9*z**5 + 0 - 8/9*z**2 - 32/9*z**3 - 34/9*z**4 = 0.
-2, -1, -2/5, 0
Let x(y) = 2*y**3 - 30*y**2 + 48*y - 20. Let o(l) = -5*l**3 + 60*l**2 - 95*l + 40. Let d(b) = 3*o(b) + 5*x(b). Factor d(j).
-5*(j - 4)*(j - 1)**2
Suppose 26 = 5*v - s, 3*v - 17 - 3 = 5*s. Factor 0*r**2 + 0*r + 0 - 2/5*r**3 + 0*r**4 + 2/5*r**v.
2*r**3*(r - 1)*(r + 1)/5
Let i(w) = w**2 - 5*w - 9. Suppose -25 = -4*d + 3*y, 2*y + 5 + 7 = 2*d. Let c be i(d). Let c*r**2 + 16*r + 4 + 0 + 2*r**2 = 0. Calculate r.
-2, -2/7
Let l(x) = -14*x**2 - 8*x + 17. Let k(s) = 5*s**2 + 3*s - 6. Let u(a) = 17*k(a) + 6*l(a). Find b, given that u(b) = 0.
-3, 0
Let j(i) be the third derivative of -i**8/112 - i**7/14 - 9*i**6/40 - 7*i**5/20 - i**4/4 - 3*i**2. Factor j(q).
-3*q*(q + 1)**3*(q + 2)
Let q(h) be the second derivative of 77/120*h**6 + 7/24*h**7 - 1/2*h**2 - 17/80*h**5 - 73/48*h**4 + 0 + 3*h - 4/3*h**3. Let q(v) = 0. What is v?
-1, -2/7, 1
Let g(k) = k**2 + 1. Let w be g(-3). Let y(r) = r**3 - 10*r**2 + 2. Let j be y(w). Let -t**2 - 3*t**4 + j*t**4 + 0*t**2 + 2*t**4 = 0. What is t?
-1, 0, 1
Let c be (-14)/4*(1 + 1). Let i = -6 - c. Let s(r) = 6*r**5 - 5*r**4 - 2*r**3 + r + 5. Let h(j) = -j**5 + j**4 - 1. Let g(u) = i*s(u) + 5*h(u). Factor g(y).
y*(y - 1)**2*(y + 1)**2
Let x(b) = 2*b - 9. Let d be x(7). Let l = d + -3. What is p in -3/2*p**l - 1/2*p + 0 = 0?
-1/3, 0
Let f(u) be the first derivative of u**3/18 - u**2/4 + u/3 + 7. Find g, given that f(g) = 0.
1, 2
Let w = 0 - -1. Let -5*l**3 + 4*l**2 - 1 + w + 7*l**3 + 2*l = 0. Calculate l.
-1, 0
Let x(p) = -p**3 - p**2 - p - 1. Let u be 2*(-3 + 7/2). Let d(a) = a + 1. Let h(r) = u*d(r) + x(r). Factor h(b).
-b**2*(b + 1)
Let x(i) be the first derivative of 2*i**3/3 + 32*i**2 + 512*i - 50. Find h such that x(h) = 0.
-16
Factor 3*p**3 + 3 - 9*p + 6 + 0*p - 3.
3*(p - 1)**2*(p + 2)
Let c(x) be the first derivative of -2*x**5/5 + x**4/2 + 2*x**3 - 5*x**2 + 4*x + 5. Let c(p) = 0. What is p?
-2, 1
Let z = -8 + 13. Factor -k + 2*k**4 + 0*k**5 + k**z + k.
k**4*(k + 2)
Let r be (-32)/(-10) - (-1)/(-5). Suppose 0 = l - 5*f + 13, -6*l = -r*l + 5*f - 21. What is g in -g**l + 0 + 1/2*g**3 + 1/2*g = 0?
0, 1
Let s = -24 - -27. Factor 0 + x**4 - 1/3*x + 5/3*x**2 - 7/3*x**s.
x*(x - 1)**2*(3*x - 1)/3
Let g(u) = -5*u**3 - 12*u**2 - 2*u + 12. Let t(v) = 3*v**3 + 6*v**2 + v - 6. Let k(h) = 4*g(h) + 7*t(h). Let c be k(6). Factor w + c + 0 - 1 - w**2 - 3*w.
-(w + 1)**2
Let s(m) be the third derivative of -m**8/6720 - m**7/3360 + m**6/1440 + m**5/480 - 4*m**3/3 - 5*m**2. Let p(v) be the first derivative of s(v). Factor p(l).
-l*(l - 1)*(l + 1)**2/4
Let f = 3 - -2. Suppose -f*g + 5 = 3*w - 8*w, 3*g + w = 11. Factor -v**g + 4 - 2*v**2 + v**4 - 4.
v**2*(v - 2)*(v + 1)
Let x(b) = b**3 - b + 1. Let k(q) = -5*q**4 + 15*q**3 - 5*q**2 - 5*q + 5. Let o(j) = k(j) - 5*x(j). Factor o(i).
-5*i**2*(i - 1)**2
Let r(h) be the third derivative of 1/1260*h**7 - 7*h**2 + 0 + 0*h**3 + 0*h + 1/720*h**6 + 0*h**4 + 0*h**5. Find t, given that r(t) = 0.
-1, 0
Let a(t) be the third derivative of -3*t**2 + 1/12*t**4 + 0 + 0*t + 0*t**3 + 1/30*t**5. Factor a(h).
2*h*(h + 1)
Suppose 0*h - 2*h = 22. Let a = 15 + h. Suppose -5*z**2 + 3*z**2 + a*z - 6*z = 0. What is z?
-1, 0
Let s(q) be the first derivative of q**5/20 - q**4/16 - 11. Let s(v) = 0. What is v?
0, 1
Let c(d) be the third derivative of d**7/840 - d**6/360 - d**5/120 + d**4/24 + d**3/3 + 6*d**2. Let y(n) be the first derivative of c(n). Factor y(j).
(j - 1)**2*(j + 1)
Find d such that -26/7*d**3 - 6*d**4 + 26/7*d + 4/7 + 38/7*d**2 = 0.
-1, -1/3, -2/7, 1
Let f be ((-32)/15)/2*30/(-40). Find l such that 0 - 2/5*l + f*l**3 + 0*l**4 - 2/5*l**5 + 0*l**2 = 0.
-1, 0, 1
Let n(z) be the second derivative of z**6/75 + z**5/50 - z**4/10 - z**3/3 - 2*z**2/5 - 4*z. Factor n(u).
2*(u - 2)*(u + 1)**3/5
Let s(n) be the second derivative of n**6/30 - n**4/4 + n**3/3 - 6*n. Factor s(u).
u*(u - 1)**2*(u + 2)
Let g(h) be the second derivative of 1/20*h**5 + 1/2*h**3 - 1/4*h**4 + 0 - 1/2*h**2 + h. Factor g(p).
(p - 1)**3
Let f(s) be the third derivative of 0*s - s**2 + 1/40*s**6 + 0*s**3 + 1/10*s**5 + 0*s**4 + 0 - 1/70*s**7. Solve f(r) = 0.
-1, 0, 2
Let b(g) be the second derivative of g**6/165 - g**5/55 - 2*g. Suppose b(m) = 0. What is m?
0, 2
Let h(f) be the first derivative of 4*f**5/5 - f**4 - 4*f**3 + 10*f**2 - 8*f + 5. Suppose h(n) = 0. What is n?
-2, 1
Let s = 20 - 32. Let i be 7/(-6)*s/63. Factor i*o**2 + 8/9 + 8/9*o.
2*(o + 2)**2/9
Let t = -237 - -241. Factor 14/11*k**t - 4/11*k**5 - 2/11 - 16/11*k**3 + 4/11*k**2 + 4/11*k.
-2*(k - 1)**4*(2*k + 1)/11
Factor 0 + 8 + 4 - 4*j**2 + 8*j.
-4*(j - 3)*(j + 1)
Let c(u) be the first derivative of -14*u**5/15 + 23*u**4/6 - 6*u**3 + 13*u**2/3 - 4*u/3 - 4. Suppose c(f) = 0. Calculate f.
2/7, 1
Determine r, given that 2*r**2 + 0*r - 2*r + 9*r + 18 + 5*r = 0.
-3
Let c be 4/((-12)/(-9)) + -1. Suppose c*j - 21*j**2 - 2*j**4 - 2*j**3 + 23*j**2 + 0*j = 0. Calculate j.
-1, 0, 1
Let l = 1520/16401 + 2/781. Let b(u) be the first derivative of -l*u**3 + 0*u**2 + 0*u + 2. Determine x, given that b(x) = 0.
0
Factor -1/2*t**3 + 1/2*t**2 + 1/2*t - 1/2.
-(t - 1)**2*(t + 1)/2
Suppose 2*u + 45 = 7*u. Let i be (384/u - 4) + -4. Determine f, given that -8/3 + 18*f**2 - 4*f**5 + 8/3*f - i*f**3 + 62/3*f**4 = 0.
-1/3, 1/2, 1, 2
Determine a, given that 5*a + 69*a**2 - 3 + 5*a**4 - 54*a**2 + 3 + 15*a**3 = 0.
-1, 0
Let t(y) be the second derivative of 0 + 3*y**2 - 4*y - 1/4*y**4 - 1/2*y**3. Solve t(n) = 0.
-2, 1
Let u be (-16)/(-28) + (-1342)/(-665). Let n = u - 34/19. Determine x so that 2/5*x + 2/5*x**2 - n = 0.
-2, 1
Let p = -83 + 147. Suppose 6*q = 2*q + p. Factor q*a**2 - 20*a**2 - 2*a**3 - 2 + 2*a + 6.
-2*(a - 1)*(a + 1)*(a + 2)
Suppose 0 = -4*h - 12, -4*k = 4*h - 4 - 4. Let x(q) be the second derivative of -2*q - 1/30*q**k - 5/9*q**3 + 0 + 2/3*q**2 + 2/9*q**4. Factor x(n).
-2*(n - 2)*(n - 1)**2/3
Let n = -365/24 - -46/3. Let i(x) be the first derivative of 0*x**5 + 0*x + 0*x**3 + n*x**4 - 2 - 1/24*x**6 - 1/8*x**2. Factor i(o).
-o*(o - 1)**2*(o + 1)**2/4
Let f = 305 + -6103/20. Let o = 29/60 + f. Factor -1/3