e a.
-1, 0
Let l = 240732166/301 + -799768. Let w = l + -52/43. Factor 50/7*b**2 + w*b**3 + 2/7*b**5 + 2*b**4 + 8/7 + 32/7*b.
2*(b + 1)**3*(b + 2)**2/7
Suppose 4*n - 2*b = 10, 4*n + b - 7 = -0. Factor 2*c**3 + 2*c**2 - 5*c**3 + 3*c**3 + n*c**3.
2*c**2*(c + 1)
Let x(j) be the first derivative of -j**4/12 + j**3/3 - 6. Factor x(q).
-q**2*(q - 3)/3
Let r(y) be the third derivative of 0*y + 6*y**2 + 3/2*y**3 + 0 - 1/20*y**5 + 1/4*y**4. Factor r(n).
-3*(n - 3)*(n + 1)
Let d(j) be the first derivative of -j**3/3 - 2*j**2 + j + 4. Let s be d(-3). What is c in -6*c**3 + 0*c**3 - c + 4*c**s - 3*c**3 + 6*c**2 = 0?
0, 1/4, 1
Let w be (5/3)/5*16. Factor -w*i - 2/3*i**5 - 40/3*i**2 - 14/3*i**4 + 0 - 12*i**3.
-2*i*(i + 1)*(i + 2)**3/3
Suppose 0*i + 2*i + 2 = 5*t, 0 = -4*t + 3*i - 4. Solve -2 - y**t - 2*y + 2*y - 3*y = 0.
-2, -1
Let j be ((-2)/4)/(24/(-16)). Factor -1/3*k**4 + 1/3*k**2 + 0 + 1/3*k - j*k**3.
-k*(k - 1)*(k + 1)**2/3
Let q = 18 + -6. Suppose 2*y + 2*y - 2*a - q = 0, 0 = 2*y + 4*a - 6. Factor 0*r + 0*r**4 + 2/3*r**y + 0*r**2 - 2/3*r**5 + 0.
-2*r**3*(r - 1)*(r + 1)/3
Let r(q) be the first derivative of q**8/112 - q**6/20 + q**4/8 + 5*q**2/2 - 4. Let x(k) be the second derivative of r(k). Factor x(t).
3*t*(t - 1)**2*(t + 1)**2
Factor 32/17*v**3 - 14/17*v**4 + 0 + 4/17*v - 22/17*v**2.
-2*v*(v - 1)**2*(7*v - 2)/17
Let l be (-3)/2*(-16)/6. Suppose -c + 27 = 3*g, -l*g + 3*c - 3 = -26. Find n, given that -n**5 - 4*n**5 + 4*n**2 - g*n**4 + 2*n**3 - n**5 = 0.
-1, 0, 2/3
Let i = -11/8 - -103/72. Let w(f) be the second derivative of 1/6*f**2 - 1/36*f**4 - 1/60*f**5 + 3*f + 0 + i*f**3. Let w(s) = 0. Calculate s.
-1, 1
Factor -2/7*j**2 - 2/7 - 1/7*j**5 + 5/7*j + 4/7*j**4 - 4/7*j**3.
-(j - 2)*(j - 1)**3*(j + 1)/7
Let w(g) = -7*g**4 - 7*g**3 + 8*g**2 + 3. Let n(t) = -20*t**4 - 20*t**3 + 24*t**2 + 8. Let p(x) = 3*n(x) - 8*w(x). Solve p(u) = 0.
-2, 0, 1
Let b be 1/(-15) + 24/60. Factor -1/3*g - 1/3 + 1/3*g**3 + b*g**2.
(g - 1)*(g + 1)**2/3
Let t = 532 + -528. Find z, given that 9/4*z**t + 21/2*z**3 + 15*z**2 + 6*z + 0 = 0.
-2, -2/3, 0
Let z(r) = -r**3 + r**2 + r + 1. Let h(m) = 8*m**3 + 10*m**2 + 6*m + 6. Let q(f) = -h(f) + 6*z(f). Factor q(j).
-2*j**2*(7*j + 2)
Let m(x) be the first derivative of -x**6/120 - 7*x**5/300 - x**4/60 - 3*x**2/2 - 6. Let y(z) be the second derivative of m(z). Suppose y(k) = 0. Calculate k.
-1, -2/5, 0
Solve -6*m**3 + 2 - 6*m**2 + 6*m**3 + 4*m**4 - 8*m**3 + 3*m**5 + 5*m = 0 for m.
-2, -1, -1/3, 1
Let w(z) = -z + 1. Let y(h) = h**2 + h - 1. Let g be y(1). Let b(v) = 3*v**3 - 15*v**2 + 29*v - 17. Let j(o) = g*b(o) + 5*w(o). Factor j(d).
3*(d - 2)**2*(d - 1)
Let j(l) be the first derivative of 2*l**3/27 + 20*l**2/9 + 200*l/9 - 2. Factor j(g).
2*(g + 10)**2/9
Let d(i) be the first derivative of -i**8/112 + 3*i**7/35 - 3*i**6/10 + 2*i**5/5 + 2*i**2 - 1. Let a(m) be the second derivative of d(m). Factor a(h).
-3*h**2*(h - 2)**3
Suppose -4*n - 37 = -0*t + 3*t, -4*t + 2 = -2*n. Let p be (-16)/n + (-5 - -3). Solve 0 + p*c**2 + 2/7*c = 0.
-1, 0
Let u(h) be the second derivative of -h**9/1008 + h**8/280 - h**7/280 + 2*h**3/3 + h. Let f(d) be the second derivative of u(d). Factor f(g).
-3*g**3*(g - 1)**2
Let m be (24/10)/((-2)/(-5)). Suppose -5*r = -4*q - m - 9, 5*r + 5*q = 15. Factor 2*o**2 + r*o - 7*o + 6*o.
2*o*(o + 1)
Let u(f) be the first derivative of -f**6/180 - f**5/30 - f**4/12 - f**3 - 3. Let z(r) be the third derivative of u(r). Determine v, given that z(v) = 0.
-1
Let i(n) be the second derivative of 25*n**7/21 + 2*n**6 - 11*n**5/10 - 2*n**4 + 4*n**3/3 - n. Determine c so that i(c) = 0.
-1, 0, 2/5
Let l(b) = -b - 4. Let z be l(-4). Let p(s) be the third derivative of 0*s**4 + z*s + 0 + 2*s**2 + 0*s**3 + 1/140*s**7 + 1/40*s**5 - 1/40*s**6. Factor p(f).
3*f**2*(f - 1)**2/2
Let t be 38 + -43 + 37/7. Factor -4/7 + 6/7*m - t*m**2.
-2*(m - 2)*(m - 1)/7
Let l(y) be the second derivative of y**6/180 - y**4/12 - 2*y**3/9 + 3*y**2 + y. Let t(r) be the first derivative of l(r). Find c such that t(c) = 0.
-1, 2
Let g = 262/63 + -37/9. Let z(w) be the second derivative of 1/70*w**5 - g*w**3 + 0 + w + 1/42*w**4 - 1/7*w**2. Factor z(r).
2*(r - 1)*(r + 1)**2/7
Let s = 5 + 3. Suppose -9 = -4*r - 1, -4*x + s = 4*r. Factor 0 + x*n + 0*n**3 + 1/2*n**4 + 0*n**2.
n**4/2
Let -6*d**3 - 6*d**2 + 2*d**4 + 3*d**5 - 9*d + 0 + 12*d + 3 + d**4 = 0. Calculate d.
-1, 1
Let k(p) be the first derivative of -5*p**4/4 - 5*p**3/3 + 11. What is v in k(v) = 0?
-1, 0
Let f be ((-10)/21)/(-1*45/210). Let -f*q**4 + 0 - 4/9*q**2 - 2/3*q**5 + 0*q - 2*q**3 = 0. Calculate q.
-2, -1, -1/3, 0
Suppose -4 + 20 = 5*k + 4*v, k = -5*v - 1. Let q be (-136)/(-288) - 1/k. Factor 0 - q*h + 2/9*h**2.
2*h*(h - 1)/9
Let g(w) = w**2 - 6*w + 2. Let u = 12 + -6. Let k be g(u). Let 2*f**3 + 0 + 3/2*f**4 + 1/2*f**k + 0*f = 0. Calculate f.
-1, -1/3, 0
Let g(x) = -2 + 2 + 1. Let t(v) = 2*v**2 + 2*v - 1. Let j(l) = -2*l**2 - 3*l + 2. Let i(h) = 6*j(h) + 7*t(h). Let f(z) = 5*g(z) - i(z). Factor f(d).
-2*d*(d - 2)
Let i(p) be the third derivative of p**5/210 - p**4/42 - p**3/7 - p**2 + 2. Find u, given that i(u) = 0.
-1, 3
Let r(i) be the third derivative of -3*i**7/70 + i**6/40 + i**5/12 + i**4/24 + 7*i**2. Factor r(w).
-w*(w - 1)*(3*w + 1)**2
Suppose 3*d = d + 36. Solve -26*b**2 - 24*b + d*b**4 + 3 - 14*b**5 + 14*b**3 + 5 + 24*b**3 = 0 for b.
-1, 2/7, 1, 2
Let h(d) be the third derivative of 0*d**3 + 0*d + 1/30*d**5 - 1/30*d**6 + 1/105*d**7 + 0 + 0*d**4 - 3*d**2. Solve h(m) = 0.
0, 1
Solve -2/9*a**2 - 2/9*a**3 + 2/9*a + 2/9 = 0 for a.
-1, 1
Let d be 25/9 + (-2)/(-9). Suppose c + 3*h = 0, d*c + 4*h + 1 - 6 = 0. Determine y, given that 8/7*y**2 - 2/7*y**5 + 0 + 8/7*y**4 - 12/7*y**c - 2/7*y = 0.
0, 1
Let i(d) be the third derivative of -d**6/280 - 25*d**2. Factor i(h).
-3*h**3/7
Let n = -108 + 111. Solve 0 + 0*m**2 - 2/9*m**n + 2/9*m = 0 for m.
-1, 0, 1
Let 0*k + 0 - 6/5*k**2 = 0. What is k?
0
Let w(o) be the second derivative of o**7/252 + o**6/180 - o**5/120 - o**4/72 - 4*o. What is a in w(a) = 0?
-1, 0, 1
Let o = -19 + 30. Let l be 2/o - 176/(-363). Factor -4/9*d + 0 - l*d**2.
-2*d*(3*d + 2)/9
Let q(v) = -3*v**3 - 10*v**2 + 21*v - 13. Let p(d) = d**3 + 5*d**2 - 10*d + 6. Let z(s) = 5*p(s) + 2*q(s). Factor z(b).
-(b - 2)**2*(b - 1)
Suppose 0 = -2*v - 2*v + 20. Factor -4*b**2 + 4 - v*b - 5*b + 4*b.
-2*(b + 2)*(2*b - 1)
Let f(z) be the second derivative of -z**3 + 0 + 1/21*z**7 - 1/3*z**4 + 1/5*z**6 + 1/5*z**5 - z**2 + 2*z. Determine y so that f(y) = 0.
-1, 1
Let k = 5 + -5. What is r in -2/3*r**3 - 2/3*r + k + 4/3*r**2 = 0?
0, 1
Let f(h) be the first derivative of h**5/210 - h**4/28 + 2*h**3/21 + h**2/2 + 2. Let d(m) be the second derivative of f(m). Factor d(w).
2*(w - 2)*(w - 1)/7
Solve 0*l + 0*l**3 + 2/5*l**2 + 0 - 2/5*l**4 = 0.
-1, 0, 1
Let g = -1 - -4. Let 8*k + 4*k**2 - 3*k**g - k**2 + 2*k**4 - 9*k - k**4 = 0. Calculate k.
0, 1
Find y, given that 0*y + 2/19*y**3 + 0*y**2 + 0 = 0.
0
Let n(s) be the third derivative of s**6/60 - s**5/10 - s**3/3 - s**2. Let l(m) = -m. Let p(d) = 6*l(d) - n(d). Factor p(w).
-2*(w - 1)**3
Let h(y) = 3*y**3 - y**2 - 4*y. Let w(d) = -2*d**3 + d**2 + 3*d. Let j(g) = 3*h(g) + 4*w(g). Factor j(x).
x**2*(x + 1)
Suppose z - 3 = -0*z. Factor 6*u**z + u**3 + 7*u**2 - 12*u**3 - 2*u.
-u*(u - 1)*(5*u - 2)
Let o be 2 - ((-1 - 2) + 5). Suppose o = 5*r + 12 - 32. Factor 4 + 4*k**4 - 3*k**2 - 6*k**r - 4*k**3 + 0*k**3 + k**4 + 4*k.
-(k - 1)*(k + 1)*(k + 2)**2
Solve 5/2*q**3 + 0 + 0*q + 0*q**2 = 0 for q.
0
Let m = -25597 - -5605667/219. Let i = -1/73 - m. Solve i*b**3 + b - b**2 - 1/3 = 0.
1
Let p(b) be the second derivative of b**8/420 - b**7/420 + 5*b**3/6 + 2*b. Let u(a) be the second derivative of p(a). Suppose u(z) = 0. What is z?
0, 1/2
Suppose 5*m = 5*y - 10, -2*y + 3*m - 6*m - 6 = 0. Suppose 5*w = 2*w. Let w*p - 2/11*p**2 + y - 2/11*p**3 = 0. What is p?
-1, 0
Let p be 4 - 2 - 4 - -4 - 2. Let o(c) be the second derivative of -c**4 + p - 5/3*c**3 - 3*c - c**2. Factor o(u).
-2*(2*u + 1)*(3*u + 1)
What is h in -2/3 - 2*h - 2*h**2 - 2/3*h**3 = 0?
-1
Let d = -10 - -29. Suppose 4*m + 3*b = d, 0 = m + 4*b - 2 - 6. Determine k, given that 0*k + 0*k**m + 0*k**2 - 1/2*k**3 + 0 + 1/2*k**5 = 0.
-1, 0, 1
Let r be 0*(1/(-2))/(-1). Let h(q) be the third derivative of 0 + 0*q**3 + 1/210*q*