2*m**2 - m. Let a(s) = -4*s**4 + 3*s**3 + s**2 + 5*s + 5. Let b(c) = -a(c) - 5*i(c). Let b(p) = 0. What is p?
-1/4, 0, 1
Let m(q) be the first derivative of 3*q**6/5 + 8*q**5/5 + 5*q**4/6 - 2*q**3/3 + q + 6. Let f(y) be the first derivative of m(y). Factor f(v).
2*v*(v + 1)**2*(9*v - 2)
Let s(t) be the first derivative of -t**6/15 - 2*t**5/25 + t**4/10 + 2*t**3/15 - 19. Factor s(z).
-2*z**2*(z - 1)*(z + 1)**2/5
Let s be -2 + 21/15 + 1. Factor 0 + 2/5*z - s*z**2.
-2*z*(z - 1)/5
Suppose -18/11 - 2/11*v**2 - 12/11*v = 0. Calculate v.
-3
Suppose 4*j = 2*f + 22, 6*j - 5*f = j + 35. Factor 4*v + 12*v**3 - 23*v**2 - 81 - 31*v**2 - v**j + 104*v.
-(v - 3)**4
Suppose 4*t - 6 = t. Let g(u) = -2*u**4 - 8*u**3 - u**2 + 13*u + 8. Let d(n) = -n**4 - 4*n**3 - n**2 + 6*n + 4. Let c(x) = t*g(x) - 5*d(x). Factor c(m).
(m - 1)*(m + 1)*(m + 2)**2
Factor 360*l**3 + 50*l + 50*l - 8 - 374*l**2 + 3*l**3.
(3*l - 2)*(11*l - 2)**2
Let o(r) be the third derivative of -1/30*r**6 + 0*r + 0*r**3 + 1/12*r**5 + 2*r**2 + 0 - 1/24*r**4. Factor o(x).
-x*(x - 1)*(4*x - 1)
Suppose 77 - 80 = -g. Factor 0*a**g + 1/2*a**2 + 0*a + 0 - 1/2*a**4.
-a**2*(a - 1)*(a + 1)/2
Determine j, given that -69*j**2 + 28*j**3 - 11 + j**2 - 13 + 68*j + 0*j**3 - 4*j**4 = 0.
1, 2, 3
Let c = -2 - -8. Suppose -c*p = -2*p. Determine g, given that -1/2*g**3 + p*g + 0 - 1/2*g**2 = 0.
-1, 0
Let x(k) be the first derivative of 3 - 3*k + 1/2*k**3 + 3/4*k**2. Factor x(s).
3*(s - 1)*(s + 2)/2
Let d be (-2)/6 - 47/3. Let y(l) = -5*l**3 - 6*l**2 - l - 3. Let h(v) = -26*v**3 - 30*v**2 - 4*v - 16. Let b(g) = d*y(g) + 3*h(g). Factor b(p).
2*p*(p + 1)*(p + 2)
Let v = 8 - 6. Solve 4 + 3*w**v - 19*w - 5*w**2 + 21*w = 0.
-1, 2
Let l = 0 + -1. Let j = l - -2. Factor 2*z**4 - 1 + 2*z - 6*z - j + 4*z**3.
2*(z - 1)*(z + 1)**3
Let b(z) = z**3 + 163*z**2 - 2347*z + 10971. Let x(u) = 82*u**2 - 1174*u + 5486. Let r(m) = 4*b(m) - 10*x(m). Factor r(i).
4*(i - 14)**3
Let x = -9 + 11. Suppose 11*r**2 - r**2 + 8*r**2 + 54 + 54*r + x*r**3 = 0. What is r?
-3
Let r(z) = 2*z**2 + 6. Let a = 2 - -3. Let i(c) be the third derivative of c**5/30 - c**4/24 + 7*c**3/6 - c**2. Let o(x) = a*r(x) - 4*i(x). Factor o(d).
2*(d + 1)**2
Let g be (7/9*-3)/(-5). Let r(o) be the second derivative of 0 - 1/5*o**5 + 0*o**2 + g*o**6 - 2*o + 2/3*o**3 - 7/6*o**4. Solve r(l) = 0.
-1, 0, 2/7, 1
Let z(l) = -4*l**4 + 56*l**3 - 41*l**2 - 11. Let c(t) = -t**4 + 19*t**3 - 14*t**2 - 4. Let d(n) = -11*c(n) + 4*z(n). Factor d(h).
-5*h**2*(h - 2)*(h - 1)
Let q(l) be the first derivative of -l**4/2 + l**3/3 + 2. Let h be q(-1). Find z such that 8/3*z**h - 8/3*z + 2*z**2 + 2/3*z**4 - 8/3 = 0.
-2, -1, 1
Let t be -4 + (-2)/(-2) + 3. Solve 0*j - 45*j**3 - 3*j**2 + t*j + 57*j**3 - 9*j**4 = 0 for j.
0, 1/3, 1
Let d(p) = -p**5 - p**3 + 1. Let g(y) = -y**5 - 3*y**3 + 2. Suppose 3*i = -0*i. Suppose z = -i*z + 1. Let n(x) = z*g(x) - 2*d(x). Factor n(v).
v**3*(v - 1)*(v + 1)
Let h(j) be the second derivative of 0*j**5 + 0 + 4*j - 1/42*j**4 + 0*j**3 + 1/105*j**6 + 0*j**2. Factor h(u).
2*u**2*(u - 1)*(u + 1)/7
Suppose 33*b - 24 = 21*b. Factor 2/11*u**3 - 4/11*u**b + 2/11*u + 0.
2*u*(u - 1)**2/11
Let l = 7 - 6. Suppose -r + 1 = 0, -l = -5*t + 3*t + 3*r. Factor 0*f**3 - f**5 + f**3 - 14*f**t - f**4 + 15*f**2.
-f**2*(f - 1)*(f + 1)**2
Let h be 261/(-18) - -14 - (0 + -1). Factor 1/6*w**2 + 1/3*w - h.
(w - 1)*(w + 3)/6
Let d = -104 - -107. Let p(o) be the first derivative of 0*o**2 + 3 + 0*o - 2/21*o**d + 1/7*o**4 - 2/35*o**5. Let p(r) = 0. What is r?
0, 1
Let p(b) = b - 1. Let w(m) = -m**2 + 6*m - 5. Suppose -137 = -4*x - 21. Let h = 19 - x. Let k(g) = h*p(g) + 2*w(g). Factor k(l).
-2*l*(l - 1)
Let s(w) be the first derivative of 0*w**4 + 0*w**2 + 0*w**3 + 1/5*w**5 + 0*w - 1/6*w**6 - 1. Let s(v) = 0. Calculate v.
0, 1
Suppose 0 = 4*i - 0*i. Let z be i/((-3)/(-3 + 0)). Suppose -6*v**3 - 27/2*v**5 + 0*v**2 + 0*v + z + 18*v**4 = 0. Calculate v.
0, 2/3
Suppose d = 2*d + 7. Let a(v) = -v**2 - 8*v - 5. Let f be a(d). Factor -2/3*y**3 + 0 - 2/3*y - 4/3*y**f.
-2*y*(y + 1)**2/3
Suppose -5*p + 4*n - 3*n + 12 = 0, n = -3*p + 12. Let w be (-2*1 + 0)/(-1). Find m, given that -2/3*m**p + 0*m**2 + w*m + 4/3 = 0.
-1, 2
Suppose -6*l + 5 + 13 = 0. Let i(k) be the first derivative of -2/7*k - 1/7*k**4 + 2 + 0*k**l + 2/7*k**2 + 2/35*k**5. Determine g so that i(g) = 0.
-1, 1
Let k(u) be the first derivative of -u**3/12 + u**2/2 - 3*u/4 - 4. Factor k(b).
-(b - 3)*(b - 1)/4
Suppose 4*m + 4 - 12 = 0. Factor -1 + y - y**4 - m*y**3 + y**5 + 2*y**5 - 2*y**5 + 2*y**2.
(y - 1)**3*(y + 1)**2
Let h(s) = 2 + 3 - s + 0 - 4 - s**2. Let o(c) = 4*c**3 - 7*c**2 - 5*c + 4. Let b(k) = 12*h(k) - 3*o(k). Factor b(i).
-3*i*(i - 1)*(4*i + 1)
Suppose -2*a - 1 = -m - 0, -4*a + 10 = 2*m. Let h(g) be the second derivative of 0 - g - 1/6*g**2 + 1/6*g**m - 1/12*g**4 + 1/60*g**5. Factor h(d).
(d - 1)**3/3
Let j = -255 + 257. Let 1/2 - 1/2*u**j + 1/2*u - 1/2*u**3 = 0. Calculate u.
-1, 1
Factor 8/11 + 2/11*g**2 - 8/11*g.
2*(g - 2)**2/11
Let g(m) = -m - 7. Let r be g(-5). Let v(n) = n**2 + n + 1. Let b be v(r). Factor 4*a**3 + a**2 + a**2 + 0*a**b.
2*a**2*(2*a + 1)
Let b(y) be the second derivative of y + 0*y**3 - 3/28*y**7 + 0*y**2 + 0*y**4 + 0 - 1/30*y**6 + 0*y**5. What is t in b(t) = 0?
-2/9, 0
Let q(m) be the first derivative of 0*m**2 + 1 + 0*m**3 + 1/5*m**5 + 0*m - 1/4*m**4. Find p, given that q(p) = 0.
0, 1
Let x be -3 - 2/((-40)/92). Determine u, given that -2/5*u**2 + x*u - 8/5 = 0.
2
Let d be 4/(-30) - (-56)/420. Find p such that 0*p**2 - 1/2*p + d + 1/2*p**3 = 0.
-1, 0, 1
Let s be 3*30/14 - 5. Factor -16/7*p**4 + s*p + 40/7*p**3 - 33/7*p**2 - 1/7.
-(p - 1)**2*(4*p - 1)**2/7
Let s(o) be the second derivative of -5*o**7/126 - o**6/9 + 14*o + 2. Solve s(p) = 0 for p.
-2, 0
Let v be -2 + 2 - (8 - 11). Let g(f) be the first derivative of -4*f - 14/5*f**5 + 23/2*f**4 + 2 + 13*f**2 - 18*f**v. Suppose g(o) = 0. What is o?
2/7, 1
Let n(h) be the first derivative of h**7/630 - h**6/90 + h**5/45 + h**2/2 + 5. Let r(m) be the second derivative of n(m). Factor r(f).
f**2*(f - 2)**2/3
Suppose -2*r - 5*s = -29, 21 = -2*r + 2*s + 3*s. Suppose -3*m + 2*m = -6. Factor m*u - 14*u - 343*u**4 - 123*u**3 - 171*u**3 - 84*u**r.
-u*(7*u + 2)**3
Suppose -2*k = -2*l - 3*l + 46, k - 52 = -5*l. Let n be 81/15 - 4/l. Solve -n + 1 + 31*o - 6*o**2 - 12*o**2 - 9*o = 0 for o.
2/9, 1
Suppose 2*l - 5 + 21 = -5*m, -l - 18 = 5*m. Suppose 0 = 5*p, 0 = -l*i + 3*p + p. Suppose 0*u**3 + 0 + i*u**2 - 2/7*u**4 + 2/7*u**5 + 0*u = 0. Calculate u.
0, 1
Let d(f) be the third derivative of -f**5/60 - f**4/24 + f**3/3 - f**2. Let o(h) = -5*h**2 - 5*h + 11. Let p(k) = -11*d(k) + 2*o(k). Let p(l) = 0. What is l?
-1, 0
Let o(j) be the third derivative of j**7/4200 + j**6/600 - 5*j**4/24 + j**2. Let y(n) be the second derivative of o(n). Factor y(a).
3*a*(a + 2)/5
Let q be (522/40)/3 + -4. Let n(j) be the second derivative of -q*j**5 + 7/12*j**3 - 1/6*j**4 - j + 1/30*j**6 + 0 + 1/12*j**7 + 1/2*j**2. Solve n(p) = 0 for p.
-1, -2/7, 1
Let u(k) be the second derivative of k**5/110 - k**4/22 + 4*k**2/11 - 4*k. Solve u(w) = 0 for w.
-1, 2
Let a = -9/4 + 53/20. Let x = -29/5 + 6. Factor x*g + 3/5*g**2 - a.
(g + 1)*(3*g - 2)/5
Let p(b) = -b**3 - 3*b**2 + b + 6. Let m be p(-3). Let w(y) be the second derivative of -2*y - 1/9*y**m + 0 - 2/9*y**2 - 1/54*y**4. Factor w(s).
-2*(s + 1)*(s + 2)/9
Let b(h) be the third derivative of -h**6/30 + 2*h**5/15 - h**4/6 + 2*h**2. Factor b(a).
-4*a*(a - 1)**2
Let n(f) be the first derivative of 2*f**3 + 0*f**2 - 3/2*f**4 + 2 + 0*f + 3/10*f**5. Factor n(h).
3*h**2*(h - 2)**2/2
Let j(t) be the third derivative of -t**8/20160 + t**7/5040 - t**5/15 - 6*t**2. Let g(p) be the third derivative of j(p). What is d in g(d) = 0?
0, 1
Let -2*u**2 + 7 - 3*u - 9 + 3*u - 4*u = 0. What is u?
-1
Let x be ((-10)/3)/((-2)/3). Let 3*u**2 - u + 5*u - x*u**2 - 2 = 0. Calculate u.
1
Let t(m) = -5*m**3 + 5*m**2 + m + 3. Let d(f) = 6*f**3 - 6*f**2 - f - 4. Let i(x) = -4*d(x) - 5*t(x). Factor i(v).
(v - 1)**2*(v + 1)
Let z(u) = u**5 - 2*u**3 - 2*u**2 + 2*u. Let i(g) = -g**5 + g**4 + g**3 + g**2 - g. Let y(b) = 2*i(b) + z(b). Suppose y(v) = 0. Calculate v.
0, 2
Let t be ((-2)/12)/1*64/(-12). Factor -2/9 - t*g**2 + 10/9*g.
-2*(g - 1)*(4*g - 1)/9
Let u(o) = -o**3 - o + 1. Let h(s)