2). Let l be i/7 - (-36)/21. Determine h so that 0 + 0*h**l + 0*h - 4/7*h**4 - 2/7*h**3 = 0.
-1/2, 0
Factor 6/5*t**2 + 0*t + 2/5*t**3 - 8/5.
2*(t - 1)*(t + 2)**2/5
Let w = 709/474 - -1/237. Solve 2*o**2 + 1/2*o**3 + w*o + 0 = 0.
-3, -1, 0
Let i(p) be the first derivative of p**7/525 - p**6/60 + 4*p**5/75 - p**4/15 + p**2/2 - 3. Let j(w) be the second derivative of i(w). What is t in j(t) = 0?
0, 1, 2
Let u = 10 - 8. What is q in -2*q**u + 2*q**5 - q - q - 4*q**4 - q**2 + 7*q**2 = 0?
-1, 0, 1
Let z(y) = -y**2 + 8*y - 12. Let j be z(5). Let u(a) be the second derivative of 0*a**2 - a - 2/3*a**j + 0 - 1/6*a**4. Factor u(i).
-2*i*(i + 2)
Let v = -10 - -14. Factor 2*s - 4*s**3 - 2*s**5 + 0*s**5 + 5*s**2 - 6*s**4 + 2 + v*s - s**2.
-2*(s - 1)*(s + 1)**4
Let o = -17 + 17. Factor o*j**2 - 2*j**2 - j - j**3 + 0*j**3.
-j*(j + 1)**2
Determine b, given that -11*b + b**3 - 2*b**3 - b + 15*b**2 - 2*b**3 = 0.
0, 1, 4
Solve -1/2*z**2 - 2*z - 3/2 = 0.
-3, -1
Let c(v) be the first derivative of -14*v**6/3 + 104*v**5/5 - 27*v**4 + 16*v**3/3 + 8*v**2 + 16. Solve c(f) = 0 for f.
-2/7, 0, 1, 2
Let i(m) be the second derivative of -m**6/120 + m**5/60 + m**4/12 - m**2 - 4*m. Let o(a) be the first derivative of i(a). Factor o(h).
-h*(h - 2)*(h + 1)
Let s = 456/5 + -90. Factor -4/5 + s*d**2 - 2*d.
2*(d - 2)*(3*d + 1)/5
Let g = 150 + -442/3. Let f be (-25)/(-36) + (-2)/8. Determine i, given that -g*i**3 + 2*i - f - 2/9*i**2 = 0.
-1, 1/4, 2/3
Let a(c) be the third derivative of c**6/360 - c**4/24 - c**3/3 - 5*c**2. Let f(n) be the first derivative of a(n). Let f(t) = 0. What is t?
-1, 1
Suppose 16 - 4 = -3*w, 5*w = -2*s - 16. Factor 4*u**2 - 4*u**2 + u**s - 2*u**2 + 4.
-(u - 2)*(u + 2)
Let h = 90 - 88. Solve v**h + 1/3*v - 2/3 - 1/3*v**3 - 1/3*v**4 = 0.
-2, -1, 1
Let l(p) be the first derivative of p**6/33 - 12*p**5/55 + 13*p**4/22 - 8*p**3/11 + 4*p**2/11 - 1. Find t such that l(t) = 0.
0, 1, 2
Let -2/11*i**2 + 0*i + 2/11*i**5 + 2/11*i**4 + 0 - 2/11*i**3 = 0. Calculate i.
-1, 0, 1
Let k(w) be the second derivative of -1/3*w**3 - 1/10*w**5 + 0*w**2 + 0 - 3*w - 1/3*w**4. Factor k(q).
-2*q*(q + 1)**2
Let y(n) = -8*n**2 + 8*n - 6. Let m(f) = -9*f**2 + 9*f - 7. Let s be (-16)/(-9) + (-4)/(-18). Suppose 5*z = s*z - 18. Let u(r) = z*m(r) + 7*y(r). Factor u(i).
-2*i*(i - 1)
Let h(w) = 3*w**3 - 3*w**2 - 3*w + 3. Let a(o) be the first derivative of -3*o**4/2 + 2*o**3 + 3*o**2 - 6*o - 2. Let f(z) = 4*a(z) + 7*h(z). Factor f(k).
-3*(k - 1)**2*(k + 1)
Factor -6/7*a + 20/7 - 2/7*a**2.
-2*(a - 2)*(a + 5)/7
Let b be 0 - 6 - 1748/(-266). Factor 2/7 + 2/7*a**2 - b*a.
2*(a - 1)**2/7
Let n be (-15)/(-27) - 20/90. Find u, given that 1/3*u**3 + 0*u**4 - n*u**5 + 0*u + 0 + 0*u**2 = 0.
-1, 0, 1
Let 5/6*a**2 + 0 - 5/6*a = 0. Calculate a.
0, 1
Let x(h) be the first derivative of 5*h**5/4 - 45*h**4/16 - 13*h**3/6 + 9*h**2/2 - 2*h - 4. Suppose x(m) = 0. What is m?
-1, 2/5, 2
Let y = -498/5 - -100. Suppose 4*n - 6 + 31 = 3*w, n = -w - 1. Factor -8/5*m - 3/5 - 7/5*m**2 - y*m**w.
-(m + 1)**2*(2*m + 3)/5
Let g be 0*((-4)/8 + 0). Let r(t) be the second derivative of 1/30*t**6 + 0*t**4 + 0*t**2 + 0*t**3 + g + 1/40*t**5 - t. Factor r(c).
c**3*(2*c + 1)/2
Let g = -344/5 - -69. Find h such that -1/5*h**2 - 3/5*h**4 + h**3 + 0 - g*h = 0.
-1/3, 0, 1
Let t(v) = v**4 + v**3 + v - 1. Let h(r) = -9*r**3 - 84*r**2 + 129*r - 25. Let d(c) = 2*h(c) + 14*t(c). Factor d(p).
2*(p - 2)**2*(p + 4)*(7*p - 2)
Suppose 4*n = h + 7, -5 = -4*n + 3*h - 0. Determine u so that -132/5*u + 357/5*u**3 - 24/5 - 147/5*u**4 - 54/5*u**n = 0.
-2/7, 1, 2
Suppose 3*c + 5*d = 29, 3*c - d + 7 = 4*c. Let o(b) be the first derivative of 2*b**2 - 2 - 2/3*b**c - 2*b. Find s such that o(s) = 0.
1
Let d(j) = -j**3 - 5*j**2 - 2*j + 2. Let s be d(-3). Let b be s/(-4) + 1/(-2). Factor 0 + 1/2*y - y**b + 1/2*y**3.
y*(y - 1)**2/2
Suppose 0 = -0*v - 4*v + 20. Let s(y) be the first derivative of y - 1/3*y**6 + 2*y**2 - y**v - 1/2*y**4 + 4/3*y**3 - 1. Suppose s(a) = 0. Calculate a.
-1, -1/2, 1
Let a(j) = -j**3 + 3. Let p be a(0). Factor -k**5 - 3*k**4 - 28 - k**2 + 28 + k**3 - 4*k**p.
-k**2*(k + 1)**3
Determine f, given that 36/7*f + 0 + 6/7*f**3 + 30/7*f**2 = 0.
-3, -2, 0
Let u be (-2)/(1*(-4)/8). Suppose -u*b - w + 5*w = 12, 0 = -2*b - w + 9. Factor -2/3*y**b + 0 - 4/3*y.
-2*y*(y + 2)/3
Let d = -2 - 24. Let g be (-35)/(-364) + (-4)/d. Factor g - 1/4*o**2 - 1/4*o**3 + 1/4*o.
-(o - 1)*(o + 1)**2/4
Let a = 0 - -3. Find l such that -12*l + 7*l**2 - a*l**2 + 2 + 12*l**2 - 6 = 0.
-1/4, 1
Let b(y) be the first derivative of 3*y**5/5 + 15*y**4/4 + 7*y**3 + 9*y**2/2 + 32. Factor b(w).
3*w*(w + 1)**2*(w + 3)
Suppose 40 = 3*z + 2*z. Let w = 8 - z. Solve 2/5*n**2 + w*n + 6/5*n**3 - 2/5*n**4 + 0 - 6/5*n**5 = 0 for n.
-1, -1/3, 0, 1
Let x(p) be the first derivative of p**6/9 + 22*p**5/75 + 7*p**4/30 + 2*p**3/45 + 15. Let x(i) = 0. What is i?
-1, -1/5, 0
Let u(w) be the first derivative of -5 - 1/5*w**5 - 1/3*w**3 - 3/4*w**4 + 3/2*w**2 + 2*w. Factor u(o).
-(o - 1)*(o + 1)**2*(o + 2)
Let g be -9 + 10 + 8 + 1. Let a be 3/1 - 25/g. Let a*u**3 + 1 + 0*u**2 - 3/2*u = 0. What is u?
-2, 1
Suppose 2*t - n + 293 = 33, 4 = 2*n. Let r = t + 647/5. Solve -1/5*j**2 + r*j - 1/5 = 0.
1
Let j = -12 + 14. Let c(p) be the first derivative of -2/21*p**3 + 4/7*p**j - 8/7*p - 1. Factor c(o).
-2*(o - 2)**2/7
Let j be (8/10)/(1/5). Suppose 2 = -w + 4. Factor 2*g**5 - 2*g + 0*g + 0*g + j*g**4 - 4*g**w.
2*g*(g - 1)*(g + 1)**3
Let x(h) = -3*h**5 - 12*h**4 - 18*h**3 - 9*h**2 - 3*h. Let s(y) = -y**2. Let j(u) = -3*s(u) - x(u). Suppose j(z) = 0. Calculate z.
-1, 0
Let b be 2/(-5) + (-114)/(-510). Let j = 63/68 + b. Suppose -5/4*c**3 + 0 + 0*c - j*c**4 - 1/2*c**2 = 0. Calculate c.
-1, -2/3, 0
Let p(l) be the third derivative of -l**8/84 + 4*l**7/35 - 7*l**6/15 + 16*l**5/15 - 3*l**4/2 + 4*l**3/3 + 16*l**2. Find f, given that p(f) = 0.
1, 2
Determine g, given that 0*g**4 + 0 + 0*g + 0*g**2 + 1/2*g**5 + 0*g**3 = 0.
0
Let b be 3 - 0*(-1)/(-2). Determine s so that -s**2 - 1 + 2*s - 2 - 8*s**2 + 7*s + b*s**3 = 0.
1
Factor -2*c**3 + 3*c**3 + 0*c**4 + 4*c**4 + 3*c**3 - 4*c**5 - 4*c**2.
-4*c**2*(c - 1)**2*(c + 1)
Suppose -3*g - 13 = -2*y - 3*y, 3*y + g = 5. Solve 6*q**2 + 0 - 5*q**y + 2 - 3*q = 0 for q.
1, 2
Let n(u) = 28*u**2 + 16*u - 36. Let v(b) = -b**2 - b + 1. Let y(r) = -n(r) - 24*v(r). Factor y(p).
-4*(p - 3)*(p + 1)
Let l(j) = -j**2 - j + 10. Let m(x) = -1. Let a(n) = -n + 3. Let q be a(6). Let k(v) = q*l(v) - 24*m(v). Factor k(d).
3*(d - 1)*(d + 2)
Let b(u) = -u + 2. Let n be b(0). Factor n*p**3 - 3*p + 2*p**2 - 3*p**4 + p**5 + 1 + 0*p**5 + 0.
(p - 1)**4*(p + 1)
Let y(s) be the first derivative of -2*s**3/9 + 10*s**2 - 150*s - 35. Factor y(l).
-2*(l - 15)**2/3
Suppose 0 = -4*u - 1 + 5. Let x be 4/4*u/5. Factor 0 + 0*m**2 + 0*m**4 + 0*m - 1/5*m**3 + x*m**5.
m**3*(m - 1)*(m + 1)/5
Factor 4/5*i**2 - 6/5*i**3 + 2/5*i**5 + 0*i + 0*i**4 + 0.
2*i**2*(i - 1)**2*(i + 2)/5
Let p be (-2)/(-6) - 145/696. Let f(t) be the first derivative of -p*t**2 + 1/16*t**4 + 0*t - 1/12*t**3 + 1/20*t**5 + 2. Factor f(a).
a*(a - 1)*(a + 1)**2/4
Let t(o) be the first derivative of 1/2*o**4 + 1/4*o**2 + 0*o - 5/6*o**3 - 1. Factor t(d).
d*(d - 1)*(4*d - 1)/2
Let n(c) be the first derivative of -2*c**6/9 + 32*c**5/15 - 8*c**4 + 128*c**3/9 - 32*c**2/3 - 2. Factor n(u).
-4*u*(u - 2)**4/3
Factor t**3 - t - 49 + 91 + t**2 - 43.
(t - 1)*(t + 1)**2
Suppose -5*k + 20 = 5*g - 0*g, 3*g - 5*k = -20. Find l such that -l + l**3 + g*l + l**2 - 4 + 3 = 0.
-1, 1
Let o(t) = 2*t**5 - 8*t**4 + 2*t**3 - 4*t**2 - 4. Let l(d) = -3*d**5 + 9*d**4 - 3*d**3 + 5*d**2 + 5. Let v(g) = -4*l(g) - 5*o(g). Factor v(n).
2*n**3*(n + 1)**2
Let t(b) be the third derivative of 1/240*b**5 + 1/12*b**3 - 1/32*b**4 + 0 + 0*b - b**2. Determine g, given that t(g) = 0.
1, 2
Solve -d**3 - 19*d + 7*d**2 + 5*d + 22 - 8 - 6 = 0 for d.
1, 2, 4
Let c(j) be the second derivative of 5/6*j**3 - 7*j + 0 + 1/4*j**4 + j**2. What is v in c(v) = 0?
-1, -2/3
Let m(a) be the second derivative of -3*a**5/80 - a**4/48 + a**3/8 + a**2/8 - 2*a. Factor m(z).
-(z - 1)*(z + 1)*(3*z + 1)/4
Let n = 0 - 0. Suppose -5*v - 5*k - 8 = -v, 4*k = -16. Factor 0*x**v - 1/2*x + 1/2*x**5 - x**2 + x**4 + n.
x*(x - 1)*(x + 1)**3/2
Suppose -4*i + 4 = -3*i. Suppose -i*d = -8 - 4. Solve 2/3*o**5 - 10/3*o**4 +