+ 1)/7
Let s(i) be the second derivative of 2*i**2 + i**3 + 0 - 1/10*i**5 + 4*i + 0*i**4. Factor s(c).
-2*(c - 2)*(c + 1)**2
Let k(p) be the first derivative of 2*p**2 + 1/4*p**4 + 0*p - 1 - 4/3*p**3. Determine w, given that k(w) = 0.
0, 2
Let t = -680/9 - -76. Factor 0 + 2/9*j**5 + 0*j**3 + 4/9*j**4 - t*j**2 - 2/9*j.
2*j*(j - 1)*(j + 1)**3/9
Let c = -26 + 29. Let 0 + 2/5*l**2 - 1/5*l - 1/5*l**c = 0. Calculate l.
0, 1
Suppose 5*w - 4*i = 205, 4*i = -4*w + 96 + 104. Let z be 2/9 + w/162. Factor -z*l**3 + 1/2*l + 1/2*l**2 - 1/2*l**4 + 0.
-l*(l - 1)*(l + 1)**2/2
Let d = 0 - -1. Let v = d + 3. Factor t**2 + 0*t**v + t**5 - 2*t**2 - t**3 + t**4.
t**2*(t - 1)*(t + 1)**2
Let g be (-1053)/(-24)*16/(-12). Let t = g - -61. Suppose 1/2*s**3 - 1 - 2*s**2 + t*s = 0. What is s?
1, 2
Suppose 8 = x + 3*x. Suppose -3*w + x*w = -4. Suppose c**3 + 4*c + 2*c**4 - w*c**3 - 2 - c**3 = 0. What is c?
-1, 1
Factor 2/9*l - 2/9*l**2 + 8/3.
-2*(l - 4)*(l + 3)/9
Let v(f) = 25*f**3 + 36*f**2 + 11*f. Let y(m) = -26*m**3 - 36*m**2 - 10*m. Let b(o) = -2*v(o) - 3*y(o). Factor b(i).
4*i*(i + 1)*(7*i + 2)
Let o = -10/3 + 38/9. Find z such that -2/9*z**2 - o + 8/9*z = 0.
2
Let k(s) = -10*s**2 - 6*s - 7. Let d(a) = -3*a**2 - 2*a - 2. Let f(q) = 7*d(q) - 2*k(q). Let o be f(-2). Factor 0*t**2 + 2*t**3 + o*t**2 + 2*t**4.
2*t**3*(t + 1)
Determine j, given that -4/5*j - 1/5*j**2 - 4/5 = 0.
-2
Let w = -2 + 5. Suppose 8 = u - 3*y, -y = -w*u + y + 10. Determine a, given that 2/7*a + 0 + 0*a**u + 0*a**4 - 4/7*a**3 + 2/7*a**5 = 0.
-1, 0, 1
Determine l, given that 0*l**4 + 0 + 2*l**3 - 2/3*l**5 + 0*l - 4/3*l**2 = 0.
-2, 0, 1
Determine w so that -40/7*w**3 + 0 + 18/7*w**4 - 4/7*w + 26/7*w**2 = 0.
0, 2/9, 1
Suppose -4*b + 7*b + 18 = -3*m, -5*b - 4*m - 25 = 0. Let k be 1/(-5) - b/5. Factor -2/7*g**4 + 0 + k*g + 0*g**3 + 2/7*g**2.
-2*g**2*(g - 1)*(g + 1)/7
Let j(c) = 26*c**2 - 50*c + 20. Let n(w) = 9*w**2 - 17*w + 7. Let p(y) = -3*j(y) + 8*n(y). Factor p(z).
-2*(z - 2)*(3*z - 1)
Let s be ((-2)/14)/((-3)/(-18)) - -1. Let i(b) be the first derivative of 0*b - 3 - s*b**2 - 2/21*b**3. What is l in i(l) = 0?
-1, 0
Factor 0*i**2 + 4/5*i**4 + 0*i**3 + 0 + 2/5*i**5 + 0*i.
2*i**4*(i + 2)/5
Let a = 11 + 14. Suppose a = 6*q - q. Factor -18 + s**q + 18 + 2*s**4 + s**3.
s**3*(s + 1)**2
Let w be (-2)/((-1)/4*2). Factor -6 + 4 - 3*j - w + 9*j**2.
3*(j - 1)*(3*j + 2)
Suppose 2*k - 18 = -5*g, 7*k = -3*g + 4*k + 18. Factor 2/3*x**3 + 2/3*x**4 - 2/3*x**g + 0 - 2/3*x.
2*x*(x - 1)*(x + 1)**2/3
Let m be (-3)/18*102/(-16) + -1. Let f(x) be the first derivative of -2 + 0*x - m*x**4 - 1/8*x**2 + 1/6*x**3. Suppose f(k) = 0. Calculate k.
0, 1
Let l(t) be the second derivative of -t**5/4 - 5*t**4/6 - 5*t**3/6 + 31*t. Factor l(u).
-5*u*(u + 1)**2
Suppose 0 = -g - 4, 3*g - 8 = -3*n + 5*g. Let i = 11 - 11. Factor i - 1/4*k + n*k**2 + 1/4*k**3.
k*(k - 1)*(k + 1)/4
Let g(a) be the third derivative of a**9/241920 - a**8/40320 + a**7/20160 - a**5/20 - 3*a**2. Let x(f) be the third derivative of g(f). Factor x(s).
s*(s - 1)**2/4
Let y(d) = 11*d**2 + d - 7. Let j(o) = -6*o**2 + 4. Let q be 7 + (0/2)/(-2). Let c(h) = q*j(h) + 4*y(h). Factor c(u).
2*u*(u + 2)
Let i = -31875/7 - -4571. Let p = i + -1084/63. Solve 4/9*z**2 + 0 - 2/9*z**5 - 4/9*z**4 + p*z + 0*z**3 = 0.
-1, 0, 1
Let a(q) = -q**4 - q**2 + 1. Let p(g) = 2*g**4 - 4*g**3 + 2*g**2 - 4. Let k(n) = 4*a(n) + p(n). Find w, given that k(w) = 0.
-1, 0
Let x(a) = -a - 1. Let c be x(-5). Suppose -18*g - c*g**4 + 14*g + 4*g**3 + 2*g**4 + 2 = 0. What is g?
-1, 1
Suppose 4*b = -i + 13, 0 = 2*b + 4*i - 24. Suppose 5*z = 4*v - 10, 4*v - 1 = -b*z - 5. Factor v*a + 0*a**4 + 1/4*a**3 - 1/4*a**5 + 0*a**2 + 0.
-a**3*(a - 1)*(a + 1)/4
Let x be ((-72)/18)/((-6)/1). Factor 2/3 - x*y + 2/3*y**4 - 4/3*y**2 + 4/3*y**3 - 2/3*y**5.
-2*(y - 1)**3*(y + 1)**2/3
Let c(j) = j**3 - j**2 + 1. Let a(b) = -6*b**3 + 7*b**2 - 3*b - 9. Let d(r) = -2*a(r) - 14*c(r). Determine m, given that d(m) = 0.
-1, 2
Let t(g) be the first derivative of g**6/3 - 7*g**5/10 + g**4/4 + g**3/6 - 6. Suppose t(r) = 0. What is r?
-1/4, 0, 1
Suppose 0 = -2*k + 1 - 7. Let g be (k - 1/3) + 4. Find y such that 2/3*y - g + 2/3*y**2 - 2/3*y**3 = 0.
-1, 1
Let r(a) be the third derivative of -a**6/540 + a**5/135 + 25*a**2. Factor r(v).
-2*v**2*(v - 2)/9
Let t be 735/(-10)*(-4)/(-3). Let f = 1080/11 + t. Factor 8/11*v**2 + 10/11*v + f.
2*(v + 1)*(4*v + 1)/11
Let k(y) be the second derivative of -y**5/120 - 23*y**4/72 - 10*y**3/3 + 12*y**2 - 12*y. Suppose k(t) = 0. Calculate t.
-12, 1
Let k(q) be the second derivative of -q**5/130 - q**4/39 - q**3/39 - 9*q. Let k(g) = 0. Calculate g.
-1, 0
Let g(q) = -q**2 + 6*q + 3. Let l be g(6). Factor 8 - 4*w**l + 4*w**2 + 7*w + 3*w**2 + 11*w**2 - 31*w.
-2*(w - 2)**2*(2*w - 1)
Let m(u) = 5*u**3 + 2*u**2 - 4*u + 4. Suppose -5*c - 17 = -2. Let b(l) = 4*l**3 + 2*l**2 - 3*l + 3. Let s(q) = c*m(q) + 4*b(q). Solve s(y) = 0.
-2, 0
Suppose -3*h = -0*h + 3*o - 27, 12 = 3*o. Suppose 4*b + 6 = t, 0 = -t + 5*b - 2*b + h. Let 4*c**t - c**2 + 10*c - 7*c = 0. What is c?
-1, 0
Let z = -5 + 4. Let i be (z - -3)*3/2. Factor 2*u**5 - 11*u**4 + 3*u**4 + 11*u**3 - 8*u**2 + 2*u + u**i.
2*u*(u - 1)**4
Suppose -4*p = 3*z - 27, 0 = z + z - 3*p - 1. Let j = 9 - z. Solve 2*o**2 + 4*o**4 + o**4 + j*o**3 + 3*o**3 = 0.
-1, -2/5, 0
Let y(c) be the first derivative of 1/18*c**4 + 0*c + 0*c**3 + 9 - 2/15*c**5 + 0*c**2. Let y(n) = 0. What is n?
0, 1/3
Let l(y) be the first derivative of -y**4/12 - y**3 - 9*y**2/2 + 3*y + 9. Let h(z) be the first derivative of l(z). Find r, given that h(r) = 0.
-3
Let a(f) = 6*f**2 + 11*f + 69. Let p(h) = -h**2 + h - 1. Let b(y) = -2*a(y) - 10*p(y). Factor b(c).
-2*(c + 8)**2
Let s(d) be the third derivative of -d**6/60 + d**5/6 - 9*d**2. Factor s(t).
-2*t**2*(t - 5)
Let b(h) be the first derivative of 16*h**5/5 - 7*h**4 + 8*h**3/3 + 2*h**2 - 6. Factor b(v).
4*v*(v - 1)**2*(4*v + 1)
What is k in 8/9*k**2 + 2/9*k**3 + 4/9 + 10/9*k = 0?
-2, -1
Let z = 16 + -8. What is t in 0*t**2 - 5*t**2 + t**2 - z*t + 0*t = 0?
-2, 0
Let p(k) be the third derivative of -k**5/300 + k**4/30 - 2*k**3/15 + 28*k**2. What is s in p(s) = 0?
2
Let v(o) be the first derivative of o**6/18 - 22*o**5/15 + 14*o**4 - 490*o**3/9 + 343*o**2/6 + 15. Factor v(z).
z*(z - 7)**3*(z - 1)/3
Solve 1/3 + 4/3*l**4 - 5/3*l**2 - l + l**3 = 0 for l.
-1, 1/4, 1
Let t be (-321)/2 + -1 + 4. Let n = t - -971/6. Factor 1/3 + 7/3*l + 5*l**2 + n*l**3 + 4/3*l**4.
(l + 1)**3*(4*l + 1)/3
Let l(p) be the second derivative of p**6/45 + 8*p. Determine s so that l(s) = 0.
0
Let a(l) = 3*l + 6. Let q be a(-4). Let v(x) = x + 9. Let o be v(q). Solve 8*g**3 + g - 14*g**2 + g + 2*g + o - 1 = 0.
-1/4, 1
Let n(s) be the second derivative of 0*s**3 + 0*s**2 + 1/50*s**5 + 0*s**4 + 2*s + 0. Factor n(h).
2*h**3/5
Let k = -256 - -7681/30. Let t(q) be the second derivative of -1/50*q**5 - q + 1/15*q**3 - 1/5*q**2 + k*q**4 + 0. Find z, given that t(z) = 0.
-1, 1
Solve 0 + 1/4*u - 1/4*u**5 + 0*u**3 - 1/2*u**2 + 1/2*u**4 = 0 for u.
-1, 0, 1
Let f(g) = -6*g**3 - 3*g**2 - 3*g. Let w be f(-2). Let d be (-2)/(-8) + w/120. Factor -3/5*c**2 + 6/5 + d*c.
-3*(c - 2)*(c + 1)/5
Suppose -2*q = -q - 64. Let m be q/126 + 8/(-36). Factor 0 + 2/7*r**2 + m*r.
2*r*(r + 1)/7
Let r be (-4 - (-12)/3) + (-6)/(-8). Suppose 1/4*o**5 - r*o**4 - 1/2*o + 1/4*o**3 + 0 + 3/4*o**2 = 0. What is o?
-1, 0, 1, 2
Let q = 149 - 451/3. Let v = -7/12 - q. Factor 1/2 - 1/4*t**3 + v*t + 0*t**2.
-(t - 2)*(t + 1)**2/4
Let x(k) be the third derivative of k**6/1800 + k**3/2 + 2*k**2. Let s(h) be the first derivative of x(h). Factor s(w).
w**2/5
Suppose -2*y + 5*y = -r + 9, 0 = -3*r + 2*y + 5. Let f(s) be the third derivative of 1/24*s**4 - r*s**2 + 0*s - 1/12*s**3 + 0 - 1/120*s**5. Factor f(w).
-(w - 1)**2/2
Let v(c) be the third derivative of -c**5/480 + 5*c**4/192 - 29*c**2. Factor v(h).
-h*(h - 5)/8
Let u be (2 + -3)*2*-1. Let s(h) be the first derivative of -3 + 0*h**u + 0*h + 4/33*h**3 + 5/22*h**4. Let s(b) = 0. Calculate b.
-2/5, 0
Let t = -58 - -61. Factor 4/7 - 4/7*m**2 - 2/7*m + 2/7*m**t.
2*(m - 2)*(m - 1)*(m + 1)/7
Let f be (-8)/(-24) + 22/6. Suppose d + f*d - 15 = 0. Factor -2/3*a**2 - 2/3*a**d + a**4 - 1/3*a**5 - 1/3 + a.
-(a - 1)**4*(a + 1)/3
Let d(t) be the first derivative of 8/3*t + 95/12*t**4 + 5/3*t**