*2 + 4*m + 7. Let l(q) = 7*q**3 - 2*q**2 + 5*q + 8. Let p(y) = -5*l(y) + 6*u(y). Factor p(f).
(f - 2)*(f - 1)*(f + 1)
Let x = 491/3 + -163. Let -2*q**2 + 0 - 2/3*q**4 + x*q + 2*q**3 = 0. Calculate q.
0, 1
Let l(y) be the second derivative of -1/6*y**4 + 0 - y**3 + 2*y**2 + 3/10*y**5 - 1/15*y**6 + y. Factor l(z).
-2*(z - 2)*(z - 1)**2*(z + 1)
Factor 1/3*n**2 - n**3 + 1/3*n**4 + n - 2/3.
(n - 2)*(n - 1)**2*(n + 1)/3
Let m(y) = -y**3 + 3*y - 7. Let v(p) = -4. Let k(x) = 7. Let g(n) = 3*k(n) + 5*v(n). Let b(j) = -5*g(j) - m(j). Solve b(c) = 0.
-2, 1
Suppose -2*l - 2*l = 12. Let t be 2*(8/(-4) - l). Let -4/5*g - 2/5*g**t - 2/5 = 0. Calculate g.
-1
Let a(t) = 240*t**4 - 766*t**3 + 649*t**2 - 194*t + 26. Let p(h) = h**3 + h**2 - h - 1. Let x(o) = a(o) + 6*p(o). Determine d, given that x(d) = 0.
1/4, 2/3, 2
Let d(m) = -m**2 - 2*m - 2. Let s be d(-2). Let a = 0 - s. Suppose -2*j**2 - 7*j**5 + 5*j**2 - 2*j**4 - j**a + 7*j**3 = 0. Calculate j.
-1, -2/7, 0, 1
Let o(s) be the third derivative of s**7/1890 - s**6/1080 - s**5/540 + s**4/216 + s**2. Factor o(z).
z*(z - 1)**2*(z + 1)/9
Suppose 3*y = 3*d + 9, 0 = 3*y - 4*y + 4*d + 6. Suppose -8/5*k**3 + 12/5*k**5 - 4/5*k + 16/5*k**4 - 16/5*k**y + 0 = 0. What is k?
-1, -1/3, 0, 1
Factor -4*d**2 + 2*d**2 - 2*d**2.
-4*d**2
Let s(k) = 6*k - 36. Let u be s(7). Let g(z) be the third derivative of 0*z - 4/15*z**3 + 0 + 7/150*z**5 + 3*z**2 + 0*z**4 - 1/100*z**u. Solve g(y) = 0.
-2/3, 1, 2
Let g be -4 + (-3)/((-15204)/20264). Let v = 140641/2534 + g. Find x such that 30*x**2 + v*x**3 + 0 + 45*x**4 + 6*x + 27/2*x**5 = 0.
-1, -2/3, 0
Factor o**2 + 1/3*o**3 - o**4 + 0 - 1/3*o.
-o*(o - 1)*(o + 1)*(3*o - 1)/3
Let q(n) = -n**3 - 6*n**2 + 4*n + 2. Let o be q(-6). Let b be (-6)/9 - o/6. Factor -3*a**b - 2*a**2 + 2*a**4 + 5*a**3 - a - a**3.
a*(a - 1)*(a + 1)*(2*a + 1)
Let o be 9 + 2 - (-6 - -4). Let m = o + -13. Factor 1/2*s**5 + 0 + m*s**3 + s**4 - 1/2*s - s**2.
s*(s - 1)*(s + 1)**3/2
Suppose -3*p - 1 = -4*p. Factor -y - y**2 - y + p - y**3 + 3*y + 0*y.
-(y - 1)*(y + 1)**2
Suppose 0 = -8*a + 16*a - 16. What is m in 2/5*m**a + 8/5*m + 6/5 = 0?
-3, -1
Suppose -9/7 + 15/7*a - 3/7*a**3 - 3/7*a**2 = 0. What is a?
-3, 1
Let l(g) be the second derivative of 0 - 4*g - 11/3*g**3 - 2*g**2 - 2*g**4. Factor l(s).
-2*(3*s + 2)*(4*s + 1)
Suppose -4*a + 15 = -3*b, 5*a = -6*b + 4*b + 36. Suppose r = a*r. Suppose r - 1/2*w**4 - w**3 + 0*w - 1/2*w**2 = 0. Calculate w.
-1, 0
Factor 10 + 10*q**2 - 55/3*q - 5/3*q**3.
-5*(q - 3)*(q - 2)*(q - 1)/3
Let s = -9 + 11. Let o(k) be the first derivative of -1/3*k**2 - 4/9*k + s + 4/27*k**3. Factor o(t).
2*(t - 2)*(2*t + 1)/9
Let z(w) = w**2 + 4*w + 3. Let d be 1 - -2 - 7/1. Let i be z(d). Find u such that 4 - 2*u**2 + 2*u**i - 4 = 0.
0, 1
Let p(h) be the third derivative of -h**7/70 + 11*h**6/120 - 11*h**5/60 + h**4/24 + h**3/3 - 22*h**2. Solve p(o) = 0 for o.
-1/3, 1, 2
Let n be (-6)/9 - 8/(-3). Factor 5*t**2 + t**2 - 4*t - 2*t - n*t**3 + 2.
-2*(t - 1)**3
Suppose -2*h = -h - 5*g + 2, 0 = -5*h - 3*g + 18. Suppose f + 6 = h*f. Solve 0 - f + 2*y**2 + 2 + y - 2*y = 0 for y.
-1/2, 1
Let x = 117 - 114. Factor 3/2*a**2 + 1/2*a**x + 3/2*a + 1/2.
(a + 1)**3/2
Let g(d) = 8*d**4 - 2*d**3 - 8*d**2 - 4*d - 6. Let v(k) = k**4 - k**2 - k - 1. Let o(c) = -g(c) + 6*v(c). Find r, given that o(r) = 0.
-1, 0, 1
Let y(m) = 3*m**4 + 15*m**3 + 27*m**2 + 21*m + 4. Let o(s) = 12*s**4 + 60*s**3 + 108*s**2 + 84*s + 15. Let x(g) = -2*o(g) + 9*y(g). Let x(b) = 0. Calculate b.
-2, -1
Let r(b) be the third derivative of 3*b**8/28 - 61*b**7/70 + 59*b**6/20 - 27*b**5/5 + 23*b**4/4 - 7*b**3/2 + 30*b**2. Let r(a) = 0. Calculate a.
1/3, 1, 7/4
Let p(v) be the third derivative of 5*v**8/112 + v**7/280 - v**6/160 - v**2. Determine c, given that p(c) = 0.
-1/4, 0, 1/5
Let d be (12/10)/((-12)/(-40)). Factor -2 + 3*p**3 + p**3 + p**2 + 1 - d*p.
(p - 1)*(p + 1)*(4*p + 1)
Factor 3/4*v**3 - 1/4*v**2 + 0 + 1/4*v**4 - 3/4*v.
v*(v - 1)*(v + 1)*(v + 3)/4
Let b(a) = 23*a**2 - 226*a. Let t(q) = 8*q**2 - 76*q. Let v(d) = -3*b(d) + 8*t(d). Find f such that v(f) = 0.
0, 14
Suppose -7*g + 60 = -4*g. Suppose 9 + 7 - 48*j + 11*j**4 - 7*j**4 - g*j**2 - 60*j**5 + 108*j**3 = 0. Calculate j.
-1, 2/5, 2/3, 1
Suppose -5*m - 73 = 6*v - 4*v, m + 11 = -4*v. Let x be 17 + m + 0 + 2. Solve -2/3*n + 2/3*n**3 + 2/3*n**x + 0 - 2/3*n**2 = 0.
-1, 0, 1
Let o(n) = 8*n**2 - 6*n - 6. Let s(l) be the third derivative of 23*l**5/60 - 17*l**4/24 - 17*l**3/6 - 3*l**2. Let h(u) = -17*o(u) + 6*s(u). Factor h(d).
2*d**2
Let i(z) = z**2 - 4*z - 17. Let r be i(7). Let h(w) be the second derivative of 0 + 1/80*w**5 - 2*w + 1/8*w**3 - 1/8*w**2 - 1/16*w**r. Factor h(q).
(q - 1)**3/4
Suppose 2*u - 9 = 15. Let b be (-3 + 3)/(u/(-3)). Factor 2/7*n + b - 2/7*n**2.
-2*n*(n - 1)/7
Let r(b) be the third derivative of b**7/5040 + b**6/1440 + b**4/24 - 3*b**2. Let p(g) be the second derivative of r(g). Factor p(v).
v*(v + 1)/2
Suppose -v - 7*c + 4*c - 10 = 0, 4*v + 4*c = -8. Suppose 1 = x - v. Let 2*f**x + f - f + 2*f**2 = 0. Calculate f.
-1, 0
Let 4*s + 1/2*s**2 + 7/2 = 0. What is s?
-7, -1
Factor -130 - 16*n**4 + 130 - 8*n**3 + 10*n**5.
2*n**3*(n - 2)*(5*n + 2)
Suppose -m - 70 = -5*d - 0*m, -2*d + 3*m = -15. Factor -4 + 18*i - 66*i - 159*i**2 + d*i**2.
-4*(6*i + 1)**2
Suppose 5*p - 6 = -2*t, 6*t - 2*t - 12 = -4*p. Let 6*v**3 - v**4 + 4*v**2 - 5*v**t - v**5 + 2*v**4 - 5*v**2 = 0. Calculate v.
-1, 0, 1
Let c be (-6)/18 - (-28)/(-6). Let u(a) = -a - 3. Let j be u(c). Factor 2/5*h**j + 2/5*h + 0.
2*h*(h + 1)/5
Let m(w) = w**3 + w**2 + w. Let t(v) = -6*v**3 + 1 - 16*v**4 - v + 5*v + 11*v**2 - 6*v**3. Let o(u) = -4*m(u) - t(u). Suppose o(r) = 0. Calculate r.
-1, -1/4, 1
Let l(g) be the first derivative of -3*g - 2 + 0*g**3 - 1/36*g**4 + 1/6*g**2. Let n(q) be the first derivative of l(q). Determine j, given that n(j) = 0.
-1, 1
Let p be (51/15 - 10/25)/1. Factor -2/3*t**4 + 0 - 2/9*t**5 - 2/3*t**p - 2/9*t**2 + 0*t.
-2*t**2*(t + 1)**3/9
Factor 3/8*p**2 + 1/8 + 3/8*p + 1/8*p**3.
(p + 1)**3/8
Let 3/8*n**2 - 1/8*n**4 + 1/8*n**3 - 1/4 - 1/8*n = 0. Calculate n.
-1, 1, 2
Let b = 18 - 16. Let p(s) be the third derivative of -2/15*s**3 - b*s**2 + 1/60*s**4 + 0*s + 0 + 1/150*s**5. Let p(c) = 0. Calculate c.
-2, 1
Let s(b) = -4*b + 7*b - 3*b + 5 + 9*b - 10*b**2. Let i(h) = h**2 + 1. Let t(d) = -2*i(d) + s(d). Find r, given that t(r) = 0.
-1/4, 1
Let c = 39/17 - 83/51. Suppose -2/3*t**3 - 2/9*t**5 + 2/9*t**2 + 0 + c*t**4 + 0*t = 0. Calculate t.
0, 1
Let b be (-830)/(-35) + 6/21. Let z be b/7 - (-6)/(-14). Factor 3/4*t**4 + 3/2*t**3 - 3*t - 9/4*t**2 + z.
3*(t - 1)**2*(t + 2)**2/4
Let q = 0 + -4. Let t = 6 + q. Find i such that i**t + 2*i - 3*i**2 + 2*i**4 - 2*i**3 + 0*i = 0.
-1, 0, 1
Let o(c) be the first derivative of 2/3*c**3 - c**2 + 0*c + 1. Suppose o(n) = 0. Calculate n.
0, 1
Let z = 3 + -4. Let s be 0/(3 - (z - -3)). Find u such that 2*u + 0 + s + 0*u**2 + u**2 + 1 = 0.
-1
Let p(k) be the first derivative of 4/3*k**3 + 0*k + 1/2*k**4 - 3 + 0*k**2. What is w in p(w) = 0?
-2, 0
Let a(q) be the first derivative of -5*q**6/6 + 6*q**5 - 15*q**4 + 40*q**3/3 + 68. Factor a(s).
-5*s**2*(s - 2)**3
Let n = -419/5 - -84. Suppose 3/5*a + 3/5*a**2 + 1/5*a**3 + n = 0. What is a?
-1
Let b(z) be the second derivative of -z**7/42 + z**6/15 - z**4/6 + z**3/6 + 6*z. Factor b(g).
-g*(g - 1)**3*(g + 1)
Let n(z) be the first derivative of -z**6/3 - 4*z**5/5 + 4*z**3/3 + z**2 + 7. Suppose n(h) = 0. Calculate h.
-1, 0, 1
Let m = -5 + 9. Let z be 3/(2 - 2/m). Determine k, given that 0*k**z - 2*k**5 + 0*k**2 - 2*k**4 = 0.
-1, 0
Suppose -3*t + 3*t = -2*t. Solve 2/3*y**3 + 0 - 1/3*y**4 + t*y - 1/3*y**2 = 0.
0, 1
Let y(u) = u**4 + u + 1. Suppose -w + 13 = 2*q, 6*q - 12 = 3*q. Let z(t) = -8*t**4 + 3*t**3 + 9*t**2 - 8*t - 11. Let l(d) = w*y(d) + z(d). Factor l(j).
-3*(j - 2)*(j - 1)*(j + 1)**2
Let -1/2*a - 1/4 - 1/4*a**2 = 0. Calculate a.
-1
Suppose -h + 30 = -3*h. Let k = h + 63/4. Let 0 + k*v**3 + 3/4*v**5 - 7/4*v**4 + 3/4*v**2 - 1/2*v = 0. What is v?
-2/3, 0, 1
Let d = 33/20 - 7/5. Determine c so that -d*c**3 + 1/4*c - 1/2*c**2 + 1/2 = 0.
-2, -1, 1
Let m(j) = -4*j**3 + 4*j**2 - j + 1. Let f(r) = 4*r**3 - 4*r**2. Let z(v) = 5*f(v) + 4*m(v). Find q such that z(q) = 0.
-1, 1
Suppose 3*u - 16 = -5*u. Suppose -2*x - x + 15 = 3*t, 0 = u*t - 