d**3/15 - 8. Factor c(q).
2*q**2*(q + 1)**3/5
Let o be (-360)/50 - (3 + -2). Let s = -8 - o. Determine a, given that 0*a + 0*a**2 - 1/5*a**3 + s*a**4 + 0 = 0.
0, 1
Factor -4/3*p + 0 + 28/3*p**2 - 32/3*p**3 - 64/3*p**4.
-4*p*(p + 1)*(4*p - 1)**2/3
Let k = 5 + -2. Factor -8 - 1 - 15*d**2 - 26*d + 5*d - 3*d**k.
-3*(d + 1)**2*(d + 3)
Let c(q) be the third derivative of q**7/70 - q**6/20 + q**4/4 - q**3/2 - 12*q**2. Factor c(m).
3*(m - 1)**3*(m + 1)
Let o(v) be the first derivative of 1/36*v**4 - 1 + 1/9*v**3 - 1/45*v**5 + 0*v - v**2. Let d(x) be the second derivative of o(x). Factor d(w).
-2*(w - 1)*(2*w + 1)/3
Find x such that 3*x**2 + 6*x - 6*x**2 - 7*x**2 + 2*x**3 + 2*x**2 = 0.
0, 1, 3
Let j be 6/(-9) + 2/3. Let b be 0 - (1 - j)*-2. Find v such that 7 + 4*v**3 - 9 + 5*v**2 + v**b = 0.
-1, 1/2
Factor 0*v**2 + 0 + 1/2*v - 1/2*v**3.
-v*(v - 1)*(v + 1)/2
Let 9*b**4 + 18/5*b**2 + 0 + 0*b + 51/5*b**3 + 12/5*b**5 = 0. What is b?
-2, -1, -3/4, 0
Let d(c) = 12*c + 4. Let t(i) = i**2 + 11*i + 4. Let q(w) = -3*d(w) + 4*t(w). Factor q(m).
4*(m + 1)**2
Let g = -153 + 1073/7. What is p in -3/7*p**3 - g*p**2 + 2/7 + 3/7*p = 0?
-1, -2/3, 1
Let i(o) = -5*o + 25. Let d be i(5). Determine c, given that -3/5*c**5 + 4/5*c**4 + 1/5*c + 2/5*c**3 - 4/5*c**2 + d = 0.
-1, 0, 1/3, 1
Let h = -11 + 15. Let m(z) be the second derivative of -2/9*z**3 + 1/15*z**5 + 0*z**h - z + 0 + 1/3*z**2 - 1/45*z**6. Suppose m(q) = 0. Calculate q.
-1, 1
Let l(i) = i**3 + 5*i**2 - i + 7. Let z(k) = 2*k**3 + 9*k**2 - 2*k + 13. Let f(j) = 11*l(j) - 6*z(j). Factor f(h).
-(h - 1)**2*(h + 1)
Let g(c) be the first derivative of -c**3/15 + 3*c**2/10 + 4*c/5 - 5. Factor g(r).
-(r - 4)*(r + 1)/5
Let s(c) be the third derivative of -c**8/100800 + c**6/3600 - c**5/12 - 6*c**2. Let a(p) be the third derivative of s(p). Solve a(d) = 0 for d.
-1, 1
Let b = 58 - 56. Factor -3/2*q + 0 + 3/2*q**b.
3*q*(q - 1)/2
Let n(i) be the third derivative of i**7/210 - i**6/60 + i**4/12 - i**3/2 + 3*i**2. Let m(o) be the first derivative of n(o). Factor m(r).
2*(r - 1)**2*(2*r + 1)
Let k = 39 + -311/8. Let x(i) be the first derivative of -1/12*i**6 + 0*i**5 + 0*i + 0*i**2 + 3 + k*i**4 + 0*i**3. Factor x(l).
-l**3*(l - 1)*(l + 1)/2
Factor -21/2*f + 9/2*f**3 - 3 - 3*f**2.
3*(f - 2)*(f + 1)*(3*f + 1)/2
Factor 6*b**2 + b**3 + 3*b**3 - b + 2*b**3 + 2*b**4 + 3*b.
2*b*(b + 1)**3
Let l(g) = -5*g**4 + 29*g**3 - 180*g**2 + 403*g - 250. Let s(y) = 14*y**4 - 88*y**3 + 540*y**2 - 1208*y + 750. Let t(m) = -8*l(m) - 3*s(m). Factor t(c).
-2*(c - 5)**3*(c - 1)
Let j(y) = y**3 + 4*y**2 + 3*y. Let g be j(-2). Suppose -7*r + g*r + 5*u + 30 = 0, -3*r - 2*u = 2. What is x in -7*x**2 - 4*x + r*x**2 - 5*x**2 = 0?
-2/5, 0
Suppose 5*g - 8 = 2*t, -3*t + 1 - 27 = -4*g. Let h(k) = -k - 11. Let j be h(t). Factor 0 + 1/2*r**2 + 1/4*r**j + 0*r.
r**2*(r + 2)/4
Suppose -2*g - 8 = 2*s + 8, 2*g - 3*s + 31 = 0. Let v be (-15)/g + -7 + 6. Factor 8/11*p**2 + 2/11*p**3 + 10/11*p + v.
2*(p + 1)**2*(p + 2)/11
Let s(a) = 4*a**4 + 14*a**3 - 12*a**2 + 8*a + 4. Let h = -3 - 3. Let n(m) = m**4 + m**3 + 1. Let r(d) = h*n(d) + s(d). Factor r(p).
-2*(p - 1)**4
Factor 2/5*d**2 + 1/5*d**5 + 8/5*d**3 - 9/5*d + 4/5 - 6/5*d**4.
(d - 4)*(d - 1)**3*(d + 1)/5
Let o(d) be the second derivative of -3*d**5/20 - 7*d**4/4 - 15*d**3/2 - 27*d**2/2 + d. Suppose o(w) = 0. What is w?
-3, -1
Let a(r) be the third derivative of -1/45*r**5 + 1/180*r**6 - r**2 + 0*r**3 + 1/36*r**4 + 0*r + 0. Factor a(s).
2*s*(s - 1)**2/3
Factor -4*g + g**2 - 8 + 2*g**3 - 4*g**2 - 7*g**2 + 20*g.
2*(g - 2)**2*(g - 1)
Let d(n) = -6*n**3 - 12*n**2 + 6*n + 12. Let m(s) = s**3 + 2*s**3 - 4 + 3*s**2 + s**2 - 2*s - s**3. Let r(p) = -5*d(p) - 14*m(p). Factor r(o).
2*(o - 1)*(o + 1)*(o + 2)
Let d(c) = 3*c**2 - 14*c - 2. Let o be d(5). Factor -12/7*j**2 - 2/7*j**4 - 8/7*j**o - 2/7 - 8/7*j.
-2*(j + 1)**4/7
Let n(o) be the second derivative of -o**5/50 + o**4/5 - 11*o**3/15 + 6*o**2/5 - 25*o. Determine v, given that n(v) = 0.
1, 2, 3
Let l(c) be the first derivative of -5*c**6/18 - 4*c**5/3 - 5*c**4/2 - 20*c**3/9 - 5*c**2/6 - 1. Factor l(g).
-5*g*(g + 1)**4/3
Let l be 12 - (1 - -2) - 3. Suppose -3*t + l*t = 0. Suppose t + 4*c**2 - 2*c**2 + 0 = 0. What is c?
0
Let d(y) = y**3 + 3*y**2 + y - 1. Let z be d(-2). Let u be (-31)/3 - (-2)/6. Let f(q) = 12*q**3. Let a(j) = j**3. Let c(l) = u*a(l) + z*f(l). Factor c(o).
2*o**3
Find c such that -9*c - 5 - 2*c**2 - c + 0 - 3 = 0.
-4, -1
Let c(x) be the first derivative of 7*x**8/600 - 11*x**7/300 + 8*x**6/225 - x**5/75 + x**3/3 + 1. Let h(l) be the third derivative of c(l). Factor h(w).
2*w*(w - 1)*(7*w - 2)**2/5
Let w(r) = -r**2 - r - 14. Let n(z) = -z + 1. Let t(p) = 5*n(p) + w(p). Factor t(c).
-(c + 3)**2
Let l be (571 - 564) + (-19)/6*2. Suppose -a**3 + 7/3*a**2 - 7/3*a**4 + 0 + 5/3*a**5 - l*a = 0. What is a?
-1, 0, 2/5, 1
Suppose -10 = -2*i - 3*r, 0 = 3*r - 8 + 2. Factor 66*w - 4*w**4 + 4*w**2 - 66*w - 2 + i*w**4.
-2*(w - 1)**2*(w + 1)**2
Let m(o) = 4*o**3 - 12*o**2 + 51*o - 67. Let u(f) = -11*f**3 + 36*f**2 - 152*f + 200. Let w(x) = 8*m(x) + 3*u(x). Factor w(p).
-(p - 4)**3
Let s = 2150/39 - 158/3. Factor 2/13 + 2/13*d**2 + 48/13*d**3 + s*d**4 - 12/13*d.
2*(d + 1)**2*(4*d - 1)**2/13
Let d = 16 - 14. Let m(k) be the second derivative of 1/2*k**d - 1/10*k**5 + 1/42*k**7 + 1/6*k**3 + 3*k + 0 + 1/30*k**6 - 1/6*k**4. Factor m(j).
(j - 1)**2*(j + 1)**3
Let w(m) be the second derivative of -4*m**7/189 + m**6/135 + 4*m**5/45 - m**4/27 - 4*m**3/27 + m**2/9 + m + 10. Determine y so that w(y) = 0.
-1, 1/4, 1
Let p(g) = -g**3 - g**2. Let b(u) = -5*u**3 - 6*u**2 - u. Let r(t) = -b(t) + 4*p(t). Let r(c) = 0. Calculate c.
-1, 0
Let u(k) = 5*k**5 + 3*k**4 - k**3 + 2*k. Let d(w) = 6*w**5 + 3*w**4 - w**3 + w**2 + 3*w. Let f(p) = 3*d(p) - 4*u(p). Let f(g) = 0. What is g?
-1, -1/2, 0, 1
Let u(v) = -5*v**3 - 12*v**2 - 5*v + 2. Let x(n) = 85*n**3 + 205*n**2 + 85*n - 35. Let c(m) = -35*u(m) - 2*x(m). Find w, given that c(w) = 0.
-1, 0
Let v = -1 + 0. Let y = v + 8. Solve 2*x**2 + y*x**3 - x**5 - 2*x**4 - 5*x**5 - x**5 = 0.
-1, -2/7, 0, 1
Let w be (-42)/(-18) - (-1)/(-3). Factor 2*k**5 + 0*k**2 + 0*k**5 + 2*k**4 - 2*k**3 - 2*k**w.
2*k**2*(k - 1)*(k + 1)**2
Let w(h) be the second derivative of h**8/28 - h**7/210 - 3*h**6/40 - h**5/30 - 3*h**2/2 - 3*h. Let p(g) be the first derivative of w(g). Solve p(z) = 0.
-2/3, -1/4, 0, 1
Let v(r) be the third derivative of -r**5/60 - r**4/12 - 6*r**2. Factor v(p).
-p*(p + 2)
Let h(f) = f**2 + 6*f - 7. Let i(v) = -2*v**2 - 13*v + 15. Suppose z + 4*z - 4*t = 14, 0 = 4*z - 3*t - 12. Let d(m) = z*i(m) + 13*h(m). Factor d(s).
(s - 1)*(s + 1)
Let f(u) be the first derivative of -u**7/21 + u**6/15 + u**5/10 - u**4/6 + 7*u - 1. Let i(j) be the first derivative of f(j). Solve i(l) = 0 for l.
-1, 0, 1
Let h(l) be the first derivative of -5*l**6/14 + 114*l**5/35 - 78*l**4/7 + 16*l**3 - 24*l**2/7 - 96*l/7 - 18. Determine y so that h(y) = 0.
-2/5, 2
Let t(q) = 3*q**2 - 5 + 2*q**5 - 6*q**3 - 3*q**2 + 1. Suppose 1 = 2*v - v. Let p(d) = -d**2 + 1. Let z(h) = v*t(h) + 4*p(h). Factor z(o).
2*o**2*(o - 2)*(o + 1)**2
Let g = 199 + -196. Solve 0*q + 1/4*q**4 + 1/4*q**5 + 0*q**2 + 0 + 0*q**g = 0 for q.
-1, 0
Let o(z) = 3*z**4 - z**3 + 4*z**2 - 4. Let i(m) = -m**4 - m**2 + 1. Let r(v) = -4*i(v) - o(v). Suppose r(s) = 0. What is s?
-1, 0
Let s be (-1 - 1)/2 - (-7)/3. Factor 2/3*d**4 - 4/3*d**3 - 2/3 + s*d + 0*d**2.
2*(d - 1)**3*(d + 1)/3
Let q be 4 + (-12)/(-66) + 324/(-88). What is g in -9/4 + q*g**2 - 3*g - 1/4*g**4 + g**3 = 0?
-1, 3
Let v(i) be the second derivative of 11*i**7/6300 - 13*i**6/1800 + i**5/150 + i**4/12 - 2*i. Let m(w) be the third derivative of v(w). Factor m(y).
2*(y - 1)*(11*y - 2)/5
Let g(x) be the first derivative of -3*x**4/32 + 3*x**3/8 - 2. Factor g(o).
-3*o**2*(o - 3)/8
Let o = -994 + 997. Let 9/2*d - 6*d**2 + 3*d**4 - 9/2*d**o + 3 = 0. What is d?
-1, -1/2, 1, 2
Let c(h) = -14*h**2 - 4*h. Let p = -21 - -16. Let k(b) = -15*b**2 - 4*b. Suppose -2*o + 4 = -4. Let u(w) = o*k(w) + p*c(w). Factor u(l).
2*l*(5*l + 2)
Let p(t) be the first derivative of 7*t**4/6 + 20*t**3/3 + 12*t**2 + 16*t/3 - 47. Let p(z) = 0. Calculate z.
-2, -2/7
Let o(m) be the first derivative of -m**6/20 - m**5/40 + m**4/8 + m**3/12 + 4*m - 4. Let r(x) be the first derivative of o(x). Fac