= 7318/6391 - z. Factor 2*y + 4/7 - w*y**2.
-2*(y - 2)*(4*y + 1)/7
Let j(t) = 11*t**3 - 7*t**2 - 11*t + 7. Let c(i) = -6*i**3 + 4*i**2 + 6*i - 4. Let g(x) = -7*c(x) - 4*j(x). Factor g(d).
-2*d*(d - 1)*(d + 1)
Suppose -3*i - 15 = 0, -3*y - 4*i = 11 - 3. Factor -2/3*z**y - 2/3*z**3 + 0 + 2/3*z + 2/3*z**2.
-2*z*(z - 1)*(z + 1)**2/3
Suppose 0 = 5*q + 20, -q - 5 = -3*c + q. Let v be 0/((-6)/3 - c). Factor -2*n**2 + 2*n**4 + v*n**4 + 2*n**3 - 6*n**5 + 4*n**5.
-2*n**2*(n - 1)**2*(n + 1)
Let i(t) = -8*t**3 - 7*t**2 + 4. Let z(d) = -4*d**3 - 3*d**2 + 2. Let r(a) = 3*i(a) - 5*z(a). Suppose r(j) = 0. Calculate j.
-1, 1/2
Let c(v) be the second derivative of -v**7/105 + v**6/36 - v**5/60 + 2*v**3/3 + 5*v. Let p(n) be the second derivative of c(n). Factor p(k).
-2*k*(k - 1)*(4*k - 1)
Let p = 3 + 20. Let o = p - 23. Determine a, given that o - 1/2*a**3 + 0*a - 1/2*a**2 = 0.
-1, 0
Let a(m) be the third derivative of m**7/105 + m**6/60 - m**5/15 + 15*m**2. Find f, given that a(f) = 0.
-2, 0, 1
Suppose 0 = 2*r + 2*r. Suppose 4*n = -4*i + 28, 3*n + 4*i - 23 = -r*n. Factor -n*b**2 + 2*b**2 + b**2 + 2*b.
-2*b*(b - 1)
Let l(m) = -578*m**2 - 139*m - 5. Let f(o) = 1734*o**2 + 418*o + 14. Let z(s) = 6*f(s) + 20*l(s). Factor z(i).
-4*(17*i + 2)**2
Let m = -2 + -8. Let v be (-118)/(-5) - m/5. Factor -v*i**3 - 24/5*i - 96/5*i**2 - 2/5.
-2*(4*i + 1)**3/5
Let n be 7/(-6)*30/(-42). Let z(p) be the first derivative of -3/8*p**4 + 2*p - n*p**3 + p**2 + 2. Determine m so that z(m) = 0.
-2, -2/3, 1
Let n(j) = -j**4 + 7*j**3 - 4*j**2 - 2*j + 7. Let p(k) = k**4 - 6*k**3 + 3*k**2 + 2*k - 6. Let h(l) = -6*n(l) - 7*p(l). Let h(b) = 0. Calculate b.
-2, 0, 1
Let d(a) = 3*a**2 + 7 - 4 - 2*a**2. Let g be d(0). Factor y**3 + 0*y**3 - y**4 - 2*y**g.
-y**3*(y + 1)
Let u(o) be the second derivative of -o**4/4 + 9*o**3 - 243*o**2/2 - 12*o. Factor u(l).
-3*(l - 9)**2
Let k(g) be the third derivative of -g**7/210 - g**6/60 + g**5/20 + 8*g**2. Let n(i) = 2*i**4 + 2*i**3 - 4*i**2. Let j(c) = -6*k(c) - 4*n(c). Factor j(v).
-2*v**2*(v - 1)**2
Let t(w) be the second derivative of -w**6/4 - 9*w**5/40 + w**4/4 - 4*w. Let t(z) = 0. Calculate z.
-1, 0, 2/5
Let p(r) = 5*r**3 - 9*r**2 + 3*r + 8. Let x(s) = 36*s**3 - 64*s**2 + 22*s + 56. Let w(j) = -44*p(j) + 6*x(j). Determine l, given that w(l) = 0.
-1, 2
Let h(v) be the second derivative of -1/45*v**6 + 2*v + 0 + 0*v**3 - 1/18*v**4 + 0*v**2 + 1/15*v**5. Factor h(f).
-2*f**2*(f - 1)**2/3
Let q(s) = -s + 6. Let a be q(3). Factor 0 + 0*u**2 + 0*u + 1/4*u**a.
u**3/4
Let m be 24/18*(2 - -1). Let h(u) be the second derivative of -u**3 + 1/6*u**m - u + 2*u**2 + 0. Factor h(i).
2*(i - 2)*(i - 1)
Let s(f) be the second derivative of f**7/1260 - f**6/180 + f**5/60 + f**4/12 - 3*f. Let v(w) be the third derivative of s(w). Factor v(c).
2*(c - 1)**2
Let m = 14 - 10. Let a be 14/8 + (3 - 4). Solve 0 - 5/4*k**5 + 1/2*k + 7/4*k**2 + a*k**3 - 7/4*k**m = 0.
-1, -2/5, 0, 1
Let t = 52 - 31. Let s = -19 + t. Factor 0 + 2/3*h - 2/3*h**3 - 2/3*h**s + 2/3*h**4.
2*h*(h - 1)**2*(h + 1)/3
Let f(r) be the first derivative of r**4/10 - 2*r**3/5 + 3*r**2/5 - 2*r/5 + 6. What is p in f(p) = 0?
1
Find l, given that 0 - 8/7*l**4 - 4/7*l**5 - 4/7*l**3 + 0*l**2 + 0*l = 0.
-1, 0
Let f(t) be the first derivative of 3*t**4/4 - 13*t**3 + 72*t**2 - 108*t + 15. Factor f(c).
3*(c - 6)**2*(c - 1)
Suppose 2*c - c = 2. Factor 2*d**2 - 2*d**4 + c*d**5 - d**4 + 0*d**4 + d**4 - 2*d**3.
2*d**2*(d - 1)**2*(d + 1)
Let z(n) = 4*n**4 + 12*n**3 + 8*n**2 + 5. Let y(k) = 6*k**4 + 2 + 9*k**3 - 3*k**3 + 6*k**2 - 4*k**4 - 2*k**2. Let i(f) = -5*y(f) + 2*z(f). Factor i(d).
-2*d**2*(d + 1)*(d + 2)
Let u(j) be the third derivative of -j**9/7560 + j**7/630 - j**5/60 - j**4/8 + 4*j**2. Let o(v) be the second derivative of u(v). Let o(i) = 0. What is i?
-1, 1
Let c(g) be the second derivative of -g**7/49 + 2*g**6/21 - 2*g**5/35 - 4*g**4/21 + 9*g. What is z in c(z) = 0?
-2/3, 0, 2
Let s = -1 - -10. Suppose -s*a + 7*a = -4. Factor l**a + 1/2 - 5/4*l - 1/4*l**3.
-(l - 2)*(l - 1)**2/4
Factor -16/7*n**3 + 2/7*n**5 + 0 + 0*n + 2/7*n**4 - 24/7*n**2.
2*n**2*(n - 3)*(n + 2)**2/7
Let n = -163 + 979/6. Let t(m) be the second derivative of 1/3*m**2 + 1/36*m**4 - n*m**3 + 3*m + 0. Factor t(j).
(j - 2)*(j - 1)/3
What is l in -l**2 + 1/4*l**3 + 0 + 3/4*l = 0?
0, 1, 3
Let m(k) = -3*k**4 - 5*k**3 - 6*k**2 - 9*k + 5. Let l(o) = -2*o**4 - 3*o**3 - 3*o**2 - 5*o + 3. Let i(n) = 5*l(n) - 3*m(n). Factor i(x).
-x*(x - 2)*(x + 1)**2
Let p(j) be the first derivative of -j**3/15 + j**2/5 + 5. Factor p(l).
-l*(l - 2)/5
Let k(f) be the second derivative of -1/50*f**5 + 0 + 0*f**4 + 6*f + 1/15*f**3 + 0*f**2. Factor k(a).
-2*a*(a - 1)*(a + 1)/5
Suppose 4*t + 0*t = 52. Suppose 2*r**3 - 3*r - 8*r**2 + t*r - 4 - r**3 + r**3 = 0. What is r?
1, 2
Let b be 20/70*49/12. Let w = b - 23/30. Factor 0*j - 2/5*j**5 + 2/5*j**2 - 2/5*j**4 + 0 + w*j**3.
-2*j**2*(j - 1)*(j + 1)**2/5
Factor -8/3*t + 0 - 2/3*t**2.
-2*t*(t + 4)/3
Let c = -152 + 152. Let 2/3*g**3 + 4/3*g**4 + 0*g**2 + c*g + 0 + 2/3*g**5 = 0. Calculate g.
-1, 0
Let l(m) be the second derivative of 3*m**5/20 + m**4/2 - m**3/2 - 3*m**2 - 21*m. Solve l(g) = 0.
-2, -1, 1
Let q(b) be the third derivative of 1/60*b**5 + 1/3*b**3 + 1/8*b**4 + 0*b + b**2 + 0. Solve q(t) = 0 for t.
-2, -1
Let i(t) be the third derivative of -t**6/60 + t**5/15 - t**4/12 - 10*t**2. Solve i(r) = 0.
0, 1
Let a(n) = n**3 - 3*n**2 + n. Let p be a(3). Let c(u) = -p*u**2 - u + 0*u - 6 + 7. Let d(g) = g**3 - g**2 - g + 1. Let v(b) = -c(b) + d(b). Factor v(o).
o**2*(o + 2)
Let q(d) be the third derivative of -d**7/735 + d**6/140 - d**5/70 + d**4/84 + 7*d**2. Find y such that q(y) = 0.
0, 1
Let b be (0 + (-4)/10)*(-5 + -5). Let j(m) be the first derivative of -3*m**2 - 3 + 9/8*m**b - 3/4*m**5 + m**3 + 0*m + 1/8*m**6. Factor j(l).
3*l*(l - 2)**3*(l + 1)/4
Let q(g) = -g**3 - g. Let v(b) = 5*b**3 - 8*b**2 + 5*b. Let p(k) = -q(k) - v(k). Solve p(a) = 0.
0, 1
Let i = 203 - 9743/48. Let a(z) be the second derivative of 0 - i*z**4 - z - 1/24*z**3 + 0*z**2. Factor a(j).
-j*(j + 1)/4
Let a(w) = 2*w**2 + 7*w - 6. Let v(m) = -m**2 - 4*m + 3. Suppose 5*h = 57 - 2. Let s(q) = h*v(q) + 6*a(q). Factor s(o).
(o - 3)*(o + 1)
Let t = 17 - 15. Find d such that -2*d**2 + 8*d + 6*d**2 - 3*d**3 + t*d**3 - 3*d**3 = 0.
-1, 0, 2
Determine a, given that 21*a**5 - 4*a + 5*a**3 - 23*a**5 + 2*a**4 - 4*a**4 + 2*a**2 + a**3 = 0.
-2, -1, 0, 1
Let x(t) be the third derivative of -t**7/70 - t**6/40 + 3*t**5/20 + t**4/8 - t**3 + 3*t**2. Factor x(k).
-3*(k - 1)**2*(k + 1)*(k + 2)
Let v(q) be the second derivative of -2*q - 1/3*q**3 + 1/6*q**4 + 0 + 0*q**2. Let v(w) = 0. What is w?
0, 1
Let n(m) = 3*m**2 - 6*m. Let i(g) = -3*g**2 + 5*g. Let u be 6/(1/2 - -1). Let o(d) = u*n(d) + 5*i(d). Factor o(x).
-x*(3*x - 1)
Factor 8/15*o + 2/15*o**4 + 0*o**2 - 2/5*o**3 + 0.
2*o*(o - 2)**2*(o + 1)/15
Let b(r) be the second derivative of r**5/160 - r**4/24 + 5*r**3/48 - r**2/8 - 19*r. Suppose b(z) = 0. Calculate z.
1, 2
Let m(c) = -c**3 - 7*c**2 - c - 7. Let r be m(-7). Let i(y) be the first derivative of y**2 + r*y - 2/3*y**3 - 2 - y**4. Suppose i(u) = 0. Calculate u.
-1, 0, 1/2
Let p(d) be the second derivative of -d**6/165 + d**5/110 + d**4/66 - d**3/33 - 4*d. Factor p(u).
-2*u*(u - 1)**2*(u + 1)/11
Let h = 11 + -10. Suppose 5*q + 4 = -m - h, q = -5*m - 25. What is x in -x**2 + q + 1/4*x = 0?
0, 1/4
Let j be (-1 - 5 - -6)*(-2 + 1). Let v(x) be the second derivative of j*x**2 - 1/12*x**4 + 1/80*x**5 + 3*x + 0 + 1/6*x**3. Factor v(r).
r*(r - 2)**2/4
Let j = -538 - -543. Let 1/5*q**j + 2*q**3 + q + 2*q**2 + q**4 + 1/5 = 0. Calculate q.
-1
Find p, given that 5/2*p**5 + 0 + 0*p - 5*p**4 - 5/2*p**3 + 5*p**2 = 0.
-1, 0, 1, 2
Let g(s) be the second derivative of 0*s**4 + 0*s**3 + 0 - 1/420*s**7 - 1/240*s**6 - 2*s + s**2 + 0*s**5. Let w(q) be the first derivative of g(q). Factor w(o).
-o**3*(o + 1)/2
Let a(m) be the second derivative of m**7/3360 + m**6/360 + m**5/96 + m**4/48 + m**3/2 - 4*m. Let z(n) be the second derivative of a(n). Factor z(w).
(w + 1)**2*(w + 2)/4
Let m(o) be the third derivative of o**9/211680 + o**8/70560 + o**5/60 + 2*o**2. Let a(y) be the third derivative of m(y). Solve a(n) = 0.
-1, 0
Let h(b) = -5*b**3 - b**2 + 4*b + 3. Let g(m) = -10*m**3 + 12*m + 8 - 6*m**2 + 