 4*i**3 + 3*i**2 + 1 + 2*i + 0. Let g(w) = -6*b(w) + 34*f(w). Factor g(m).
2*(m - 1)**2*(m + 2)
Let x be (-2)/(-40)*4/1. Let m(y) be the first derivative of -2/15*y**3 + 0*y + x*y**2 - 1. Let m(f) = 0. Calculate f.
0, 1
Let j(i) = 15*i**4 + 9*i**3 - 23*i**2 - 7*i + 8. Let x(k) = 105*k**4 + 63*k**3 - 162*k**2 - 48*k + 57. Let r(f) = 15*j(f) - 2*x(f). Factor r(h).
3*(h - 1)*(h + 1)**2*(5*h - 2)
Suppose -9*q - 3 = -10*q. Solve -1/2*w + 1/2 + 1/2*w**q - 1/2*w**2 = 0 for w.
-1, 1
Let i(h) be the first derivative of h**8/1680 - h**6/180 + h**4/24 + h**3/3 + 1. Let g(v) be the third derivative of i(v). Factor g(a).
(a - 1)**2*(a + 1)**2
Let v be ((-8)/(-2))/(-4) + 3. Suppose -2*j + v*r + 14 = 0, -r + 3*r = -2*j - 6. Factor 2/5*g + 0 + 6/5*g**j.
2*g*(3*g + 1)/5
Suppose -4*m + 9*m - 10 = 0. Let g = 7 + -4. Factor 0*v**3 - v**g + 2*v**m - 3*v**2 + v + 1.
-(v - 1)*(v + 1)**2
Determine u, given that 8*u + 5*u**2 - 4*u**2 + 16*u**3 + 19*u**2 + 4*u**4 = 0.
-2, -1, 0
Let k be 20/(-8)*-2 - 3. Let x(v) be the third derivative of 0*v - 1/9*v**4 - 3*v**k + 0 + 1/60*v**6 - 1/315*v**7 + 0*v**5 + 0*v**3. Factor x(h).
-2*h*(h - 2)**2*(h + 1)/3
Let u(y) be the second derivative of y**4/4 + y**3/2 + 17*y + 2. What is w in u(w) = 0?
-1, 0
Let r(c) be the first derivative of -c**3/18 + c/6 - 16. Factor r(k).
-(k - 1)*(k + 1)/6
Let a(v) be the first derivative of 7*v**3 - 3*v**2 + 3. Factor a(n).
3*n*(7*n - 2)
Let s(p) be the second derivative of 0 - p + 27/2*p**2 + 1/4*p**4 + 3*p**3. Factor s(u).
3*(u + 3)**2
Let i(t) be the first derivative of t**3/9 - t**2/2 + 2*t/3 - 17. Factor i(s).
(s - 2)*(s - 1)/3
Let 9/7*p**4 - 9/7*p**2 + 36/7*p + 12/7 - 24/7*p**3 = 0. What is p?
-1, -1/3, 2
Let o be (8 - 3) + -1 + 2. What is a in 11 + 2*a**3 - 16 + 6*a**2 + o*a + 7 = 0?
-1
Suppose 8/7 + 14*o**2 - 8*o = 0. What is o?
2/7
Let x(l) = l**3 + l**2. Let o(u) = 6 + 2*u**3 + 8*u + 19*u**2 - 11*u**2 - 2 + 2*u**3. Let v(q) = 2*o(q) - 6*x(q). Factor v(h).
2*(h + 1)*(h + 2)**2
Let r(u) be the third derivative of 0*u**3 + 1/840*u**6 - 1/168*u**4 + 7*u**2 + 0 + 0*u**5 + 0*u. Factor r(f).
f*(f - 1)*(f + 1)/7
Let k(d) be the first derivative of d**2 + 1/2*d**4 + 0*d - 4/3*d**3 + 1. Factor k(p).
2*p*(p - 1)**2
Let h(c) be the third derivative of -c**7/280 + c**6/160 + c**5/80 - c**4/32 + 2*c**2. Let h(r) = 0. What is r?
-1, 0, 1
Suppose -4*h = 5*j + 755, -5*h - 3*j = -4*j + 980. Let d be h/(-180) + (-1)/(-4). Find c, given that c**3 + 0 - d*c - 1/3*c**4 + 0*c**2 = 0.
-1, 0, 2
Let j(w) be the first derivative of -w**6/18 - 2*w**5/15 + 11. Let j(h) = 0. What is h?
-2, 0
Let c(b) be the second derivative of -b**6/90 - 7*b**5/60 - b**4/2 - 10*b**3/9 - 4*b**2/3 - 14*b. Factor c(q).
-(q + 1)*(q + 2)**3/3
Let n be -6*(0 - 6/9). Find f such that -f**n + 3*f**4 - 5*f**5 + 0*f**5 = 0.
0, 2/5
Let c(f) = -f**2 - 10*f - 5. Let d be c(-6). Suppose -4 = 5*u - d. Factor 0*s**2 - 4*s**2 + u*s**4 + s**2.
3*s**2*(s - 1)*(s + 1)
Let r be (-1 - 0)/(3/(-180)). Let g be 57/r + 3/12. What is f in -2/5*f**2 - g*f - 4/5 = 0?
-2, -1
Let r(b) be the third derivative of -b**5/12 - 5*b**4/6 - 5*b**3/2 - 35*b**2. Factor r(k).
-5*(k + 1)*(k + 3)
Let u be 28/(-24)*(-6)/28. Let h(m) be the first derivative of 0*m**2 + u*m**3 - 3/4*m + 3. Factor h(n).
3*(n - 1)*(n + 1)/4
Let t be (-6)/15 - 2/(-55). Let w = 2/55 - t. Suppose 2/5*x - w - 2/5*x**3 + 2/5*x**2 = 0. What is x?
-1, 1
Let h(g) be the third derivative of -g**5/15 + 2*g**3/3 - 6*g**2. Suppose h(c) = 0. Calculate c.
-1, 1
Let a(l) = -l**3 + l**2 + l - 1. Let d(b) = -35*b**4 + 40*b**3 - 5*b**2 + 5*b - 5. Let i(o) = -5*a(o) + d(o). Factor i(j).
-5*j**2*(j - 1)*(7*j - 2)
Let p(y) be the second derivative of -y**5/50 - 3*y**4/5 - 36*y**3/5 - 216*y**2/5 + 5*y. Factor p(l).
-2*(l + 6)**3/5
Suppose 4*m = -3*a - 12, 3*a + 0 = m + 3. Suppose -4*c - w = -3, -5*c + a*c + 3 = w. Factor -10/7*b**2 - 6/7*b**3 + c - 4/7*b.
-2*b*(b + 1)*(3*b + 2)/7
Suppose 4 = -a - 0. Let b be (1 - -3) + 8/a. Factor b + q**2 - q**2 - 6*q**2 + 2*q**2 + 2*q**4.
2*(q - 1)**2*(q + 1)**2
Suppose x - 3*r + 8 = 0, -4*x + 28 = 2*r + r. Solve x + 0*j - j - j**2 - 2 = 0 for j.
-2, 1
Let o(q) be the third derivative of 0 + 0*q - 1/60*q**6 + 0*q**4 + 1/15*q**5 + 0*q**3 - q**2. Let o(w) = 0. What is w?
0, 2
Let z(r) be the second derivative of r**9/60480 - r**8/8960 + r**7/3360 - r**6/2880 - r**4/12 - 4*r. Let l(t) be the third derivative of z(t). Factor l(m).
m*(m - 1)**3/4
Solve -1/5*s**2 - 1/5*s + 2/5 = 0 for s.
-2, 1
Let a(p) be the third derivative of p**6/900 - p**5/100 + p**4/30 + p**3/3 - p**2. Let o(w) be the first derivative of a(w). Find b such that o(b) = 0.
1, 2
Let b(o) be the second derivative of -o**7/1260 + o**6/360 + o**5/30 - o**4/6 - 2*o. Let w(l) be the third derivative of b(l). Factor w(j).
-2*(j - 2)*(j + 1)
Let k(j) be the third derivative of j**8/336 - j**7/210 + 3*j**2. Determine h, given that k(h) = 0.
0, 1
Let h = 373/7 + -53. Let l be ((-33)/22)/((-19)/8 + 2). Factor 0 + 0*p**2 - h*p**3 + 0*p - 4/7*p**l.
-2*p**3*(2*p + 1)/7
Let f(n) be the first derivative of -n**4/8 + 13. Solve f(z) = 0.
0
Let u(z) = 6*z. Let d be u(-3). Let k be (-3)/2*8/d. What is c in -1/3*c + k - 1/3*c**2 = 0?
-2, 1
Let k(i) = i**3 + i**2 + i + 1. Let z(p) = -4*p**2 - 6*p - 2. Let o(t) = 3*k(t) + z(t). Find s such that o(s) = 0.
-1, 1/3, 1
Factor 23*m - 11*m**3 + 11/3*m**2 + 7/3*m**4 + 6.
(m - 3)**2*(m + 1)*(7*m + 2)/3
Let q(z) = 2*z**2 + 5*z + 2. Let m be q(-3). Factor -1 + 0*a**m - a**4 + 0*a**3 + 2*a**2 + 2*a**3 - a - a**5.
-(a - 1)**2*(a + 1)**3
Let b be 0/(0 - 3/3). Suppose -3*f = -b*f - 3. Let g(j) = j + 1. Let a(n) = -4*n**2 - 10*n - 8. Let k(m) = f*a(m) + 8*g(m). Suppose k(o) = 0. What is o?
-1/2, 0
Let h(d) = d**2 - 3*d - 8. Let n = 20 - 15. Let y be h(n). Factor -2/11*r**y + 0 - 2/11*r.
-2*r*(r + 1)/11
Let z(l) = -l**3 + 4*l**2 + 6*l - 1. Let c be z(5). Suppose -2*v**2 + v**4 + 4*v**2 + c*v**3 - 4*v**2 + 5*v**4 = 0. What is v?
-1, 0, 1/3
Suppose -x + 6*x = 0. Factor 8/3*a**2 + 2/3*a + x.
2*a*(4*a + 1)/3
Let o(s) be the second derivative of -s**4/3 - 4*s**3/3 - 2*s**2 + s. Find x such that o(x) = 0.
-1
Let g(n) be the first derivative of 27*n**5/40 - 21*n**4/32 - n**3/4 + 13. Let g(k) = 0. What is k?
-2/9, 0, 1
Let u(f) be the first derivative of -f**6/21 + 8*f**5/35 - 3*f**4/7 + 8*f**3/21 - f**2/7 + 12. Factor u(q).
-2*q*(q - 1)**4/7
Let y be 2223/7560 + (-6)/21. Let r(o) be the third derivative of -2*o**2 - 1/840*o**7 + y*o**6 - 1/48*o**5 + 0*o**3 + 0 + 0*o + 1/48*o**4. Factor r(g).
-g*(g - 2)*(g - 1)**2/4
Let z be 1731/15 + -1 + 0. Let i = -114 + z. Factor i - 4/5*q + 2/5*q**2.
2*(q - 1)**2/5
Let x(o) = -o**4 - 9*o**3 - o**2 - 9*o - 6. Let j(m) = -m**3 + m**2 - m - 1. Let c(p) = 5*j(p) - x(p). Factor c(k).
(k + 1)**4
Determine g so that 0*g + 0 + 6*g**4 - 3/2*g**3 + 0*g**2 + 15/2*g**5 = 0.
-1, 0, 1/5
Let c(a) be the second derivative of a**4/60 + 2*a**3/15 + 2*a**2/5 - 3*a. Factor c(w).
(w + 2)**2/5
Let y(k) be the first derivative of -k**3/12 + 3*k**2/4 - 2*k - 9. Factor y(q).
-(q - 4)*(q - 2)/4
Let h(x) be the third derivative of x**8/3360 + x**7/252 + x**6/45 + x**5/15 - x**4/6 + x**2. Let u(w) be the second derivative of h(w). Factor u(d).
2*(d + 1)*(d + 2)**2
Let a(v) = -v - 27. Let s be a(0). Let h be ((-3)/s)/(7/14). Determine r so that 2/9*r**3 - 2/9*r + 2/9*r**2 - h = 0.
-1, 1
Let v(p) = 2*p**5 - 2*p**3 - 2*p**2 + 2*p + 2. Let y(h) = -2*h**5 + 3*h**3 + 3*h**2 - 3*h - 3. Suppose -12 = 2*m + 4*m. Let f(j) = m*y(j) - 3*v(j). Factor f(g).
-2*g**5
Let u(s) be the first derivative of -1/2*s**6 + 0*s**2 + 0*s + 0*s**3 - 1 + 6/5*s**5 - 3/4*s**4. Find i, given that u(i) = 0.
0, 1
Let b(s) = 79*s**3 + 171*s**2 - 51*s - 11. Let j(l) = -16*l**3 - 34*l**2 + 10*l + 2. Let u(w) = 2*b(w) + 11*j(w). Find n, given that u(n) = 0.
-2, 0, 2/9
Let m(j) = 32*j**2 - 12. Let h(g) = -13*g**2 + 5. Let t(s) = 12*h(s) + 5*m(s). Factor t(f).
4*f**2
Suppose 6*v - 2*v + 28 = 0. Let y = v + 11. Factor y*p**4 - 2*p - 4*p**2 + 4*p**5 + 0*p**5 - 2*p**5.
2*p*(p - 1)*(p + 1)**3
Suppose -1 = -2*j + 3. Determine m so that 9*m - 2*m + 7 - 3 - 4*m**j - m = 0.
-1/2, 2
Let s(m) = -8*m**4 - 10*m**3 - 27*m**2 - 26*m - 6. Let g(q) = -9*q**4 - 9*q**3 - 27*q**2 - 27*q - 6. Let o(d) = -5*g(d) + 6*s(d). Factor o(n).
-3*(n + 1)**3*(n + 2)
Supp