0 - c**4/12 - 100*c**2. Factor d(x).
-x*(x + 1)**2*(7*x + 2)**2/2
Let o(z) = -135*z - 2292. Let j be o(-17). Factor -8/3*p - 2/3*p**5 - 4/3*p**4 + 8/3*p**2 + 0 + 2*p**j.
-2*p*(p - 1)**2*(p + 2)**2/3
Let w = 40 - 39. Let r(t) = -4*t**4 + 11*t**3 + 16*t**2 + t. Let q(l) = l**4 + l**3 + l**2 + l. Let k(x) = w*r(x) - 6*q(x). Factor k(h).
-5*h*(h - 1)*(h + 1)*(2*h - 1)
Let r(l) be the first derivative of 3*l**4/20 + 4*l**3/5 + 3*l**2/2 + 6*l/5 - 33. Let r(v) = 0. What is v?
-2, -1
Let o(s) be the second derivative of -3*s**5/100 - s**4/5 - s**3/10 + 9*s**2/5 - 20*s. Let o(h) = 0. Calculate h.
-3, -2, 1
Let v(r) = 4*r**5 - 3*r**4 - 7*r**3 + 5*r**2 - 3*r + 1. Let z(j) = 11*j**5 - 8*j**4 - 20*j**3 + 14*j**2 - 7*j + 2. Let o(q) = -8*v(q) + 3*z(q). Factor o(d).
(d - 1)**3*(d + 1)*(d + 2)
Factor -156*h - 52*h**2 + 2*h**3 - 6*h**3 - 182*h + 2*h**3.
-2*h*(h + 13)**2
Let r(m) = -m**3 + 48*m**2 - 447*m - 12. Let c(a) = -a**2 + a + 2. Let w(g) = 6*c(g) + r(g). Let w(q) = 0. What is q?
0, 21
Let y(v) be the third derivative of -28*v**2 + 0 - 1/140*v**6 - 20/7*v**4 + 64/7*v**3 + 17/70*v**5 + 0*v. Suppose y(x) = 0. Calculate x.
1, 8
Let m = 293/8 - 257/8. Solve -15/2*x**3 + 45*x**2 + m*x**5 - 42*x - 12*x**4 + 12 = 0 for x.
-2, 2/3, 1, 2
Let b(y) = -y**2 + y. Let l = 14 + -13. Let n(k) = -2*k**3 + 9*k**2 - k - 6. Suppose j + 11 = 4*j + f, 3*f - 15 = -3*j. Let v(i) = j*b(i) + l*n(i). Factor v(a).
-2*(a - 3)*(a - 1)*(a + 1)
Let p(w) be the third derivative of 1/5*w**5 + 0 + 1/10*w**6 + 0*w + 0*w**3 - 5*w**2 + 1/6*w**4 + 2/105*w**7. Factor p(d).
4*d*(d + 1)**3
Let s be (-5)/(3/6*-1). Suppose -4*l = -s + 2. Factor 2*p**2 + 4*p + 0*p**l + 3 - p**2.
(p + 1)*(p + 3)
Suppose 21 = f + 5*u, -5*u + 4 + 1 = 0. Suppose -3*d + f = 13. Factor -6*r - d - 3*r**3 + 65*r**2 + 1 - 74*r**2.
-3*r*(r + 1)*(r + 2)
Let f(c) = -c**3 - 11*c**2 - 38*c - 22. Let u be f(-4). What is q in 0 + 24*q**2 + 236/5*q**3 + u*q**4 + 16/5*q = 0?
-2, -2/5, -2/9, 0
Let v(j) = 10*j**2 + 1. Let s be v(-1). Let d be (3 - 4)*(-2 - 1). Factor -6*o**2 - d*o - s*o**4 + 24*o**3 - 9*o**4 - o + 6*o**4.
-2*o*(o - 1)**2*(7*o + 2)
Let i(y) be the second derivative of 0 - 4/3*y**3 + 2*y**2 + 1/5*y**5 - 5*y - 1/15*y**6 + 1/2*y**4. Let a(b) be the first derivative of i(b). Factor a(x).
-4*(x - 2)*(x + 1)*(2*x - 1)
Let r = -4 - -9. Let f(s) = s**3 + 8*s**2 - 4*s - 27. Let d be f(-8). Solve 3*g**4 + 6*g**r - 4*g**5 + g**d = 0 for g.
-1, 0
Let v be (-10)/(-4)*(-1 + 3). Let u(t) = t**3 + 3*t**2 - 1. Let n be u(-2). Factor -3*g**5 - g**2 + v*g**3 + 2*g**3 - 12 + 3*g**4 + 8*g**n - 24*g - 2*g**2.
-3*(g - 2)**2*(g + 1)**3
Let f(k) = 3*k + 39. Let u be f(-12). Let w(b) be the second derivative of -1/7*b**2 + 1/42*b**4 + 0*b**u - 3*b + 0. Solve w(o) = 0.
-1, 1
Let u(j) = -j**2 - 38*j - 156. Let x(b) = 4*b**2 + 192*b + 778. Let c(l) = 14*u(l) + 3*x(l). Suppose c(s) = 0. What is s?
-3, 25
Let n(z) = -5*z**2 - z + 2. Let x be n(-1). Let o(j) = 15*j**2 - 260*j + 1690. Let w(u) = -7*u**2 + 130*u - 845. Let p(y) = x*o(y) - 5*w(y). Factor p(g).
5*(g - 13)**2
Let z(s) = 3*s**2 - 9*s + 15. Let o be z(3). Find u such that -7*u**2 - 3 - 6*u**2 - 48*u**3 + 4*u**2 + 21*u**3 + o*u = 0.
-1, 1/3
Let c(g) be the first derivative of -56*g**5/5 + 31*g**4 - 24*g**3 - 2*g**2 + 8*g - 76. Solve c(k) = 0 for k.
-2/7, 1/2, 1
Let a(i) be the first derivative of -14 + 75/2*i**2 + 15*i**3 + 3/5*i**5 + 0*i - 27/4*i**4. Factor a(q).
3*q*(q - 5)**2*(q + 1)
Let b(p) be the third derivative of p**5/150 - 41*p**4/15 + 6724*p**3/15 + 441*p**2. Factor b(l).
2*(l - 82)**2/5
Let y(o) = o**3 - 6*o**2 - 5*o - 10. Let d be y(7). Suppose -45 = u - 46. Suppose -4*x**2 - u + 0 + d*x**3 + 1 = 0. Calculate x.
0, 1
Let m(a) be the first derivative of -22 - 2/9*a**2 - 2/27*a**3 + 2/9*a + 1/9*a**4. Factor m(t).
2*(t - 1)*(t + 1)*(2*t - 1)/9
Let z(f) = -3*f**2 - 20*f - 10. Let s be z(-6). Suppose 3*b + 12 = -4*n, -12 - 4 = -5*n + 4*b. Factor 8/5*h**s - 4*h**3 + 0 + 12/5*h**4 + n*h.
4*h**2*(h - 1)*(3*h - 2)/5
Let g(i) be the second derivative of -2/15*i**5 + 0*i**2 - 13*i - 5/18*i**4 + 0 - 1/45*i**6 - 2/9*i**3. Factor g(x).
-2*x*(x + 1)**2*(x + 2)/3
Let g be 2/(-5) + 6/12. Let t(k) be the second derivative of 0 - 1/2*k**3 - 5*k - g*k**6 + 1/4*k**4 + 3/20*k**5 + 0*k**2. Factor t(z).
-3*z*(z - 1)**2*(z + 1)
Let d(c) be the third derivative of -c**5/330 - 35*c**4/66 - 23*c**3/11 + 7*c**2 - 6. Factor d(x).
-2*(x + 1)*(x + 69)/11
Suppose 2 = -2*k, -5*o = -9*o - 2*k + 6. Suppose 8/3*a**3 - 4/3*a - 4/3*a**o + 0 = 0. What is a?
-1/2, 0, 1
Let c be (-3 - -9)*(1 + 1)/6. Factor 4*s**3 - s**3 - 11*s**2 - c*s**2 + 19*s**2.
3*s**2*(s + 2)
Let u(o) be the first derivative of -o**4/2 - 20*o**3/3 - 23*o**2 - 28*o + 235. Factor u(q).
-2*(q + 1)*(q + 2)*(q + 7)
Let m(g) = 2*g + 28. Let p(a) = 10*a + 141. Let n(c) = -11*m(c) + 2*p(c). Let w be n(-14). Factor -46/3*f**4 - 4/3*f + 0 - 26/3*f**w - 18*f**3 - 14/3*f**5.
-2*f*(f + 1)**3*(7*f + 2)/3
Let t(z) be the first derivative of -11*z**6/4 + 21*z**5/2 - 117*z**4/8 + 17*z**3/2 - 3*z**2/2 - 67. Suppose t(q) = 0. Calculate q.
0, 2/11, 1
Let k = -64 + 55. Let u(z) = 3*z**2 + 5*z + 6. Let d(b) = 7*b**2 + 11*b + 13. Let h(o) = k*u(o) + 4*d(o). Let h(v) = 0. Calculate v.
-1, 2
Let d = -11 + 15. Factor -338*n**d - 4*n**3 + 3*n**2 - 2*n**2 + 341*n**4.
n**2*(n - 1)*(3*n - 1)
Let h(r) be the second derivative of r**5/4 + 35*r**4/12 + 35*r**3/3 + 20*r**2 + 36*r. Factor h(l).
5*(l + 1)*(l + 2)*(l + 4)
Let a(s) = s**2 + s + 1. Let r = -1 + 0. Let v(q) be the first derivative of q**4/4 + 2*q**3/3 + q**2/2 + q + 13. Let m(k) = r*v(k) + a(k). Factor m(u).
-u**2*(u + 1)
Let i(b) be the second derivative of -1/15*b**6 + 0 + 0*b**2 + 2/3*b**3 - 8*b + 1/2*b**4 + 0*b**5. What is w in i(w) = 0?
-1, 0, 2
Let w = -22385 - -111926/5. Let -1/5*o**2 - 2/5*o - w = 0. What is o?
-1
Factor 9/4*o**2 + 1/4*o**3 + 2*o + 0.
o*(o + 1)*(o + 8)/4
Let k be 8/(104/(-205))*(-322)/5. Let z = 1016 - k. Determine i, given that -z - 2/13*i**3 - 10/13*i**2 - 14/13*i = 0.
-3, -1
Let y(k) be the first derivative of -7*k**7/60 + 7*k**6/45 - k**5/15 + k**3 - 2. Let p(l) be the third derivative of y(l). Factor p(m).
-2*m*(7*m - 2)**2
Factor 18/5 + 12/5*y**2 - 33/5*y + 3/5*y**3.
3*(y - 1)**2*(y + 6)/5
Let h(w) be the third derivative of -2*w**7/105 - 23*w**6/30 - 143*w**5/15 - 121*w**4/6 + 77*w**2. Factor h(o).
-4*o*(o + 1)*(o + 11)**2
Let z(j) be the third derivative of j**5/30 - 13*j**4/12 - 14*j**3/3 + 20*j**2 - 2. Factor z(y).
2*(y - 14)*(y + 1)
Let b(i) be the second derivative of i**7/42 + 2*i**6/3 - 3*i**5/20 - 29*i**4/6 + 20*i**3/3 + 227*i. Factor b(z).
z*(z - 1)**2*(z + 2)*(z + 20)
Let y = -5/2 - -17/6. Let u(b) be the first derivative of 0*b - b**2 - y*b**3 - 4. Factor u(w).
-w*(w + 2)
Let t(z) be the second derivative of 2*z**7/21 - 4*z**6/15 - 2*z**5/5 + 8*z**4/3 - 14*z**3/3 + 4*z**2 + 9*z - 18. Determine x so that t(x) = 0.
-2, 1
Let m = 6627 + -6624. Find l such that -3/2*l**4 + 5/2*l - 5/2*l**m - 1 + 5/2*l**2 = 0.
-2, -1, 1/3, 1
Let p(c) be the second derivative of c**4/8 - 19*c**3/4 - 63*c**2/2 + 200*c. Solve p(j) = 0.
-2, 21
Let i = 246 + -228. Let c be (-3)/6*i/(-15). Determine h, given that 0 + 9/5*h**2 + c*h - 12/5*h**3 = 0.
-1/4, 0, 1
Suppose -3*k + k + 4 = 0. Suppose 0 = -4*m - 3*z + 74, m = -4*m + k*z + 81. Suppose -m*q**4 + 8*q**2 + 8*q**4 + 7*q**4 = 0. Calculate q.
-2, 0, 2
Suppose -6 + 1/3*m**2 - 7/3*m = 0. What is m?
-2, 9
Suppose -2*z = 5*z - 42. Let g(w) = w**3 + 7*w**2 + 6*w + 6. Let q(o) = 6*o**3 + 43*o**2 + 35*o + 37. Let f(k) = z*q(k) - 39*g(k). Factor f(n).
-3*(n + 1)*(n + 2)**2
Let s(d) = -7*d**2 + 958*d - 75847. Let z(r) = -8*r**2 + 959*r - 75848. Let p(c) = 5*s(c) - 4*z(c). What is t in p(t) = 0?
159
Let k(j) = 5*j**5 - 15*j**4 + 14*j**3 - 17*j**2 + 17*j. Let w(l) = -2*l**5 + 5*l**4 - 5*l**3 + 6*l**2 - 6*l. Let r(p) = -6*k(p) - 17*w(p). Factor r(q).
q**3*(q + 1)*(4*q + 1)
Let b(g) = -4*g**2 + 27*g - 69. Let c(f) = -f**2 + 0*f**2 + 26*f + 0*f**2 - 3*f**2 - 70. Let u(m) = 6*b(m) - 5*c(m). What is d in u(d) = 0?
4
Let r(c) be the second derivative of c**5/60 - c**4/12 - 2*c**2 + 6*c. Let f(g) be the first derivative of r(g). Factor f(o).
o*(o - 2)
Suppose -4*q + 14 = -c, -q = -11*c + 13*c - 17. Suppose 2/3*n**2 + c + 4*n = 0. Calculate n.
-3
Let b(i) be the third 