*a*(a + 1)**2*(a + 2)/9
Let x(w) = 5*w**2 + 11*w. Let t(n) = 30*n**2 + 65*n. Let d(p) = 6*t(p) - 35*x(p). Factor d(v).
5*v*(v + 1)
Let s(n) be the third derivative of -n**9/120960 + n**7/3360 - n**6/720 + n**5/12 - n**2. Let a(q) be the third derivative of s(q). Factor a(y).
-(y - 1)**2*(y + 2)/2
Let d(o) be the third derivative of -6*o**2 - 1/80*o**6 + 0*o**4 + 1/280*o**7 + 1/80*o**5 + 0*o**3 + 0 + 0*o. Solve d(v) = 0.
0, 1
Suppose 5*a = 3*j + 9, 0*j + 2*j = 3*a - 6. Let r(s) be the second derivative of 0*s**2 + 1/10*s**5 + a + s + 0*s**4 - 1/3*s**3. Factor r(k).
2*k*(k - 1)*(k + 1)
Let c(i) be the third derivative of i**5/12 + 5*i**4/4 - 35*i**3/6 - 3*i**2 + 4. Factor c(n).
5*(n - 1)*(n + 7)
Let -16/3*b**2 - 2/3 + 34/9*b = 0. Calculate b.
1/3, 3/8
Let y(d) = -d**2 + 10*d + 6. Let g be y(9). Determine s so that -3*s**3 + 2*s**3 - s**3 + 6 + g*s - 4*s**3 + 3*s**2 = 0.
-1, -1/2, 2
Let s = 82 + -570/7. Let r(c) be the first derivative of 1/7*c**2 - s*c + 2/21*c**3 + 3. Factor r(w).
2*(w - 1)*(w + 2)/7
Let g(l) = 4*l + 152. Let d be g(-38). Suppose 22/9*k**2 - 2/9*k**4 + 4/9*k - 8/9*k**5 + d + 8/3*k**3 = 0. Calculate k.
-1, -1/4, 0, 2
Suppose 3*y = 2*y - 6. Let j be 9/y*8/(-18). Factor -2/3*n**2 - j*n + 0.
-2*n*(n + 1)/3
Let m(o) be the third derivative of 0 + 1/360*o**6 + 1/180*o**5 + 0*o + 3*o**2 - 1/72*o**4 - 1/18*o**3. Factor m(i).
(i - 1)*(i + 1)**2/3
Let j(x) be the first derivative of -3*x**5/5 + 8*x**3 - 48*x + 35. Suppose j(c) = 0. Calculate c.
-2, 2
Let -4*m**2 - 284*m - 2 + 2 + 276*m = 0. Calculate m.
-2, 0
Suppose 0*j + 4*j = 2*f + 6, -f = 3. Let z(o) be the third derivative of 0*o**4 + 0 - 3*o**2 + 1/21*o**3 + j*o - 1/210*o**5. Determine m, given that z(m) = 0.
-1, 1
Determine n so that -2/11 - 6/11*n - 2/11*n**3 - 6/11*n**2 = 0.
-1
Let o = -2957/4 - -746. Solve -1/4*t**3 - 9/4*t**2 - 27/4 - o*t = 0 for t.
-3
Suppose -2*k - 4 + 0 = 0. Let i = k - -10. Factor -58*t**2 - 60*t**4 - 25*t**4 + i*t - 1 + 5*t + 25*t**5 + 106*t**3.
(t - 1)**3*(5*t - 1)**2
Factor 0*n - 2/11*n**3 + 0 - 2/11*n**2.
-2*n**2*(n + 1)/11
Let z(h) be the first derivative of 4 + 0*h - 2/21*h**3 + 1/7*h**2. Factor z(v).
-2*v*(v - 1)/7
Factor -25*s - 16 + 0 - 14 - 5*s**2.
-5*(s + 2)*(s + 3)
Let z(r) be the third derivative of 2*r**7/105 + 11*r**6/30 + 3*r**5 + 27*r**4/2 + 36*r**3 + 8*r**2. Let z(k) = 0. What is k?
-3, -2
Let y(n) be the third derivative of n**6/60 + 7*n**5/30 + 5*n**4/4 + 3*n**3 + 6*n**2. Suppose y(d) = 0. What is d?
-3, -1
Factor 0 + 27/5*j + 3/5*j**3 + 18/5*j**2.
3*j*(j + 3)**2/5
Suppose -1/4 - 1/4*r + 1/2*r**2 = 0. Calculate r.
-1/2, 1
Let q(b) be the second derivative of 0*b**3 - 1/36*b**4 + 0 + 3*b + 1/6*b**2. Solve q(z) = 0.
-1, 1
Let n be 3 + (1 + -1)/(-1). Let g = 24 + -21. Factor 1/2 - 7/4*p**n - g*p**2 - 3/4*p.
-(p + 1)**2*(7*p - 2)/4
Let m = -1385/14 + 199/2. Factor m*k**3 + 2/7*k**4 + 0 + 2/7*k**2 + 0*k.
2*k**2*(k + 1)**2/7
Suppose 18*x**5 + 20*x**2 + 2*x**5 - 32*x**4 - 36*x**3 + 4*x**2 + 8*x**2 + 16*x = 0. What is x?
-1, -2/5, 0, 1, 2
Let z(m) be the second derivative of 4*m**7/147 + m**6/35 - m**5/14 - m**4/14 + m**3/21 + 5*m. Determine v, given that z(v) = 0.
-1, 0, 1/4, 1
Let u(l) = 11*l**4 + 8*l**3 - 3*l**2 - 8. Let z(h) = 7*h**4 + 5*h**3 - 2*h**2 - 5. Let q(t) = 5*u(t) - 8*z(t). Determine n so that q(n) = 0.
-1, 0, 1
Let a(v) be the third derivative of v**6/6 - v**5/15 - 8*v**4/15 - 8*v**3/15 - 12*v**2. Let a(j) = 0. What is j?
-2/5, 1
Let b(m) be the third derivative of -m**7/35 + m**6/12 + m**5/15 + 3*m**2. Factor b(c).
-2*c**2*(c - 2)*(3*c + 1)
Let d(w) be the second derivative of 2*w**7/21 - 8*w**6/15 + 4*w**5/5 + 12*w. Factor d(j).
4*j**3*(j - 2)**2
Determine z, given that 2*z - 3*z**2 + 5*z - 5*z - 5*z = 0.
-1, 0
Let -14*w**4 - 1 - 12*w**3 - 7 - 26*w**2 + 16*w**4 - 4*w**4 - 24*w = 0. Calculate w.
-2, -1
Factor 2/7*r**4 + 0*r**2 + 0 + 4/7*r**3 + 0*r - 2/7*r**5.
-2*r**3*(r - 2)*(r + 1)/7
Determine p, given that -1/2*p**2 - 1/2 - p = 0.
-1
Suppose 2*h - n = -6*n + 21, h - 4*n = 17. Suppose -13 + 3*t**2 + h = 0. What is t?
0
Let w(a) be the second derivative of 4/75*a**6 - 1/105*a**7 + 3*a - 2/15*a**4 + 0 + 4/15*a**3 + 0*a**2 - 3/50*a**5. Let w(n) = 0. Calculate n.
-1, 0, 1, 2
Let t(s) be the first derivative of -s**3 - 3/2*s**2 - 1/4*s**4 - s - 2. Factor t(l).
-(l + 1)**3
Let d(q) be the second derivative of q**5/10 - q**4/2 + 4*q**2 + 3*q. What is l in d(l) = 0?
-1, 2
Let f(t) be the first derivative of -2*t**6/9 + 16*t**5/9 - 3*t**4 + 40*t**3/27 + 11. What is h in f(h) = 0?
0, 2/3, 1, 5
Let m(i) = -14*i**2 - 16*i - 2. Let j(x) = -x**2 - x. Let c(r) = 12*j(r) - m(r). Factor c(y).
2*(y + 1)**2
Let t be (-75)/(-250)*4/3. Factor -t - 2/5*o + 2/5*o**2 + 2/5*o**3.
2*(o - 1)*(o + 1)**2/5
Let o(l) be the first derivative of l**3/21 + 6*l**2/7 + 36*l/7 + 13. Factor o(w).
(w + 6)**2/7
Let x(p) = -2*p - 46. Let d be x(-24). Let h(l) = -l**3 - 5*l**2 + 6*l + 4. Let o be h(-6). Factor 0*q + 3/4*q**o + 0 + 1/2*q**d + 5/4*q**3.
q**2*(q + 1)*(3*q + 2)/4
Let m(q) = -6*q + 3. Let r be m(-3). Suppose 3*h = 2*i - r, i - 3*h = -0*h + 18. Factor -5/3*g - 10/3*g**2 - 10/3*g**i - 1/3 - 1/3*g**5 - 5/3*g**4.
-(g + 1)**5/3
Suppose -2 - 1 = -f. Let i(c) be the first derivative of 0*c**3 + 1 - 2*c**f + c**2 - 2*c + 6*c. Factor i(n).
-2*(n - 1)*(3*n + 2)
Let s(j) = -j**2 + 16*j - 16. Let m(d) = d**2 - d + 1. Let x(n) = -4*m(n) + s(n). Factor x(a).
-5*(a - 2)**2
Let f(m) be the second derivative of m**5/60 + m**4/18 + m**3/18 - 6*m. Factor f(d).
d*(d + 1)**2/3
Factor 0*i - 3/8*i**3 + 0 - 3/8*i**2.
-3*i**2*(i + 1)/8
Determine l so that 18/7 - 12/7*l**2 + 3/7*l**3 + 3/7*l = 0.
-1, 2, 3
Let z(c) = c**3 + 4*c**2 + 3*c + 2. Let h be z(-3). Suppose -4*r - h = -10. Find m such that 10/7*m**5 + r*m**4 - 2*m**2 - 4/7*m + 0 - 6/7*m**3 = 0.
-1, -2/5, 0, 1
Let r be (-3 - -4) + (-2 + -1 - -5). Let y(a) be the first derivative of -4/5*a + 2/25*a**5 - 1/10*a**4 + a**2 - 4 - 2/5*a**r. What is u in y(u) = 0?
-2, 1
Let s(c) = -c**3 + 9*c**2 - 8*c + 2. Let u be s(8). Solve -1 - 3 + u*m**2 + 0 - 2*m = 0.
-1, 2
Let l be (-38)/132*(2 + -6). Let c = l - 9/11. Factor p - p**2 - 1/3 + c*p**3.
(p - 1)**3/3
Let v(f) be the second derivative of 0*f**3 - 2*f + 1/40*f**5 - 1/24*f**4 + 0 + 0*f**2. Solve v(n) = 0 for n.
0, 1
Let l be 9/6*2*1. Suppose -2*k = -4*g + 18, -4*g + 1 - l = 2*k. Factor -b + 1 + 1/4*b**g.
(b - 2)**2/4
Determine s, given that 2*s**3 + 2*s**2 - 2*s**3 + 5*s**3 + 18*s**2 = 0.
-4, 0
Let x = -16423/75 - -219. Let u(r) be the second derivative of -2*r + 1/105*r**7 + x*r**6 - 1/15*r**3 + 0*r**2 + 0*r**5 - 1/15*r**4 + 0. Factor u(b).
2*b*(b - 1)*(b + 1)**3/5
Let k(y) be the second derivative of 2/3*y**3 - 8*y + 4*y**2 - 2/3*y**4 - 1/5*y**5 + 0. Factor k(u).
-4*(u - 1)*(u + 1)*(u + 2)
Let a(d) be the third derivative of -1/30*d**5 + 0*d + d**3 + 0 - 6*d**2 + 1/6*d**4. Factor a(v).
-2*(v - 3)*(v + 1)
Let n(o) be the second derivative of 0*o**2 - 1/9*o**3 + 0 - 1/18*o**4 + 3*o. What is r in n(r) = 0?
-1, 0
Let n be (-165)/(-44) - (0 + (-1)/4). Let v(d) be the first derivative of -1/8*d**2 + 0*d + 0*d**3 + 1/16*d**n + 2. Factor v(x).
x*(x - 1)*(x + 1)/4
Let x(l) = -l**2 - l - 1. Let s(h) = 3*h**3 + 19*h**2 + 25*h + 13. Let j(y) = -s(y) - 4*x(y). Let j(m) = 0. Calculate m.
-3, -1
Let x(b) be the second derivative of b**4/4 - b**3/2 + 2*b. Determine i so that x(i) = 0.
0, 1
Let w(z) be the third derivative of -z**8/252 + z**7/630 + z**6/45 - z**5/90 - z**4/18 + z**3/18 + 7*z**2. Let w(n) = 0. What is n?
-1, 1/4, 1
Let m(p) be the third derivative of -p**7/105 - p**6/60 + p**5/15 - p**2. Factor m(w).
-2*w**2*(w - 1)*(w + 2)
Solve -16/7*r + 2/7*r**2 + 24/7 = 0.
2, 6
Suppose 5*c + 36 = 11. Let w = -3 - c. Let -2*k**3 + 0*k - k**w - 8*k - 7*k**2 = 0. What is k?
-2, 0
Factor -2*a**4 - a**4 - 3*a**4 + 4*a**4 - 4*a**3.
-2*a**3*(a + 2)
Let j(n) be the third derivative of -7*n**6/120 - n**5/2 - 3*n**4/2 - 4*n**3/3 - 7*n**2. Factor j(p).
-(p + 2)**2*(7*p + 2)
Let c = -42 + 43. Let d = c - -1. Suppose p**4 - 1/3*p + 0 - p**d + 1/3*p**3 = 0. What is p?
-1, -1/3, 0, 1
Let t(f) be the third derivative of -f**5/330 + 3*f**4/11 - 108*f**3/11 + 38*f**2 + 2. Let t(c) = 0. What is c?
18
Let p(g) be the second derivative of -1/40*g**5 + 0 + 3*g - 1/4*g**3 + 1/4*g**2 + 1/8*g**4. Factor p(v).
-(v -