 Let q(x) be the third derivative of 0 + 2*x**2 + 0*x**5 - 1/280*x**8 - 1/300*x**6 + 0*x**4 + s*x**7 + 0*x**3 + 0*x. Factor q(p).
-2*p**3*(p - 1)*(3*p - 1)/5
Let o(w) be the first derivative of -2 + 0*w - 1/24*w**4 - 1/120*w**6 - 1/2*w**2 + 0*w**3 - 1/30*w**5. Let p(q) be the second derivative of o(q). Factor p(d).
-d*(d + 1)**2
Let b be (3 - 46/14)/((-3)/7). Let n(i) be the first derivative of -b*i + 2 - 1/6*i**2 + 1/9*i**3. Factor n(g).
(g - 2)*(g + 1)/3
Let l(b) = -b**3 - b + 4. Let x be ((-2 - -1)*0)/(-2). Let t be l(x). Suppose -5 + 0*d**2 + t + d**2 = 0. Calculate d.
-1, 1
Let v be 6 - 186/22 - 3/(-1). Find x such that v*x**2 - 6/11*x**4 + 0 - 4/11*x + 4/11*x**3 = 0.
-1, 0, 2/3, 1
Let k(f) be the second derivative of -f**7/189 - f**6/27 - 7*f**5/90 - f**4/18 + 28*f. Solve k(c) = 0 for c.
-3, -1, 0
Let h(x) be the first derivative of x**4/7 - 8*x**3/7 + 18*x**2/7 + 10. Factor h(a).
4*a*(a - 3)**2/7
Let x(u) = -u**3 - u**2 + u - 1. Let y be (-95)/(-15) + 1/(-3). Let q(m) = 8*m**3 + 8*m**2 - 6*m + 6. Let g(s) = y*x(s) + q(s). Find r such that g(r) = 0.
-1, 0
Suppose 3*h = -0*h + 12. Let -h*j - 1 + 4*j**2 - 4*j**2 + 2*j + j**4 + 2*j**3 = 0. What is j?
-1, 1
Let m(r) be the second derivative of -1/130*r**5 + 1/39*r**3 + 1/78*r**4 + 0*r**2 - 1/195*r**6 + 0 + 3*r. Factor m(b).
-2*b*(b - 1)*(b + 1)**2/13
Let r be 1 + -3 + (-1 - 0) + 3. Let v(m) be the second derivative of -1/48*m**4 + r + 0*m**2 - 1/24*m**3 - 3*m. Factor v(q).
-q*(q + 1)/4
Let h(r) be the third derivative of r**7/4200 - r**6/1800 - r**5/300 + r**3/3 - r**2. Let c(v) be the first derivative of h(v). Solve c(t) = 0.
-1, 0, 2
Let r(v) be the second derivative of -v**7/49 - v**6/21 + 2*v**5/35 + 2*v**4/21 + 17*v. Let r(d) = 0. Calculate d.
-2, -2/3, 0, 1
Let u(w) = -3*w - 91. Let q be u(-31). Factor -8/5*l + 0 - 18/5*l**3 + 24/5*l**q + 4/5*l**4.
2*l*(l - 2)**2*(2*l - 1)/5
Suppose 0 = 4*w + w - 0*w. Let t(m) be the second derivative of -1/70*m**5 + 1/42*m**4 + m + w + 0*m**2 - 1/105*m**6 + 1/21*m**3. Factor t(n).
-2*n*(n - 1)*(n + 1)**2/7
Let a be 19/57 - 115/3. Let z be a/(-60) - 7/(-42). Factor 0*j + 0 - z*j**2 + 2/5*j**3.
2*j**2*(j - 2)/5
Let s be (-1*3 - -2) + 756/324. Determine t, given that -2/3 + s*t - 2/3*t**2 = 0.
1
Suppose 4*w - 4*t = 14 + 6, 2*w = 3*t + 15. Factor 0 + 0*h + 0*h**2 - 1/4*h**5 + w*h**3 - 1/4*h**4.
-h**4*(h + 1)/4
Let r(w) be the third derivative of 5/84*w**4 + 0*w + 1/420*w**6 + 0 + 2*w**2 - 2/105*w**5 - 2/21*w**3. Find n, given that r(n) = 0.
1, 2
Let b be ((-2)/72)/((-16)/12*10). Let y(p) be the third derivative of -1/240*p**5 + 1/840*p**7 + 0 + b*p**6 + 0*p**3 - 1/96*p**4 + 0*p + p**2. Factor y(v).
v*(v - 1)*(v + 1)**2/4
Let k(c) be the third derivative of -c**5/30 - c**4/4 - 6*c**2. Factor k(l).
-2*l*(l + 3)
Factor 60*q**2 - 20*q - 63*q**3 + 176*q - 55 + 7.
-3*(q - 2)*(3*q + 4)*(7*q - 2)
Let j(k) = -k - 3. Let h be j(-6). Suppose h*b = 5*z - 3, -5*b + 3*z + 11 = -0*b. What is u in -3*u + 2*u**2 + u + b - 6*u**3 + 4*u - 10*u**2 = 0?
-1, 2/3
Let c be (-3 - 22)*(1 - 2). Let x = c + -18. Let o(z) = 3*z**3 - 4*z**2 - z. Let v(h) = -h**4 - 8*h**3 + 12*h**2 + 4*h. Let g(m) = x*o(m) + 2*v(m). Factor g(t).
-t*(t - 1)**2*(2*t - 1)
Let n(r) = 3 + 6 + 7*r**2 - 13 + 7*r. Let p be 104/28 - (-2)/7. Let x(i) = -15*i**2 - 15*i + 9. Let b(q) = p*x(q) + 9*n(q). Factor b(k).
3*k*(k + 1)
Let n(d) be the second derivative of 2*d**6/135 + d**5/6 + 37*d**4/54 + 11*d**3/9 + d**2 - 9*d. What is u in n(u) = 0?
-3, -1, -1/2
Suppose 2*u - 4 = -u - 2*l, -4*u = 4*l. Factor 0*h - 1/3*h**5 + h**u - h**3 + 1/3*h**2 + 0.
-h**2*(h - 1)**3/3
Suppose -3*a + 14 = -16. Determine y, given that 15*y - 18*y**2 - 1 - 3 - 2*y**4 - y + a*y**3 = 0.
1, 2
Let d(x) = x**4 - 2*x**3 + 2*x**2 - x - 3. Let k(o) = -o**3 + o**2 - 1. Let j(t) = -t - 9. Let n be j(-10). Let p(f) = n*d(f) - 3*k(f). Solve p(i) = 0.
-1, 0, 1
Let j(n) = -n**3 - n**2 - n + 3. Let f be j(0). Factor 4 - 29*s + 31*s + 0*s**3 - 2*s**f - 4*s**2.
-2*(s - 1)*(s + 1)*(s + 2)
Find q, given that 1 + 20*q + 15 + 4*q**2 - 4*q = 0.
-2
Let b = 19704 - 1714192/87. Let l = b - -2/87. Suppose 0 + 2/3*o + l*o**2 = 0. Calculate o.
-1, 0
Suppose -5*r = -5*u + 250, -u - 5*r + 50 = -0*u. Let m be (-12)/u*(-5)/3. Factor -2/5*x**4 + 4/5*x**2 + 2/5*x**5 + 2/5*x - 4/5*x**3 - m.
2*(x - 1)**3*(x + 1)**2/5
Let n(s) be the second derivative of 0 - 6*s + 2/3*s**3 - 3*s**2 + 1/6*s**4. Factor n(j).
2*(j - 1)*(j + 3)
Let f be 6/4*(6/(-6))/(-6). Determine s, given that 1/4*s + 0 + f*s**2 = 0.
-1, 0
Let w(x) be the third derivative of -x**8/1512 - x**7/189 - 2*x**6/135 - 2*x**5/135 - 11*x**2. Factor w(r).
-2*r**2*(r + 1)*(r + 2)**2/9
Let d(w) be the third derivative of -w**7/630 - w**6/72 - w**5/20 - 7*w**4/72 - w**3/9 - 13*w**2 + 2. Factor d(a).
-(a + 1)**3*(a + 2)/3
Factor -28/5*l**2 - 4/5*l**4 + 0*l + 32/5*l**3 + 0.
-4*l**2*(l - 7)*(l - 1)/5
Let r(c) be the second derivative of c**4/24 + c**3/6 - 16*c. Factor r(n).
n*(n + 2)/2
Let k(v) be the first derivative of -v**5/5 - v**4/2 + v**3/3 + v**2 - 35. Let k(b) = 0. Calculate b.
-2, -1, 0, 1
Let l = -132 - -139. Let k(g) be the third derivative of 3*g**2 + 0*g**3 + 1/112*g**8 + 0*g**l + 0 + 1/8*g**4 - 1/20*g**6 + 0*g + 0*g**5. Solve k(f) = 0 for f.
-1, 0, 1
Let t(f) be the third derivative of f**5/45 - 17*f**4/9 + 578*f**3/9 + 36*f**2. Solve t(q) = 0.
17
Find l such that 48/7*l - 12/7 - 3*l**2 = 0.
2/7, 2
Let w(g) be the first derivative of 1/12*g**3 - 1/8*g**2 - 2 - 1/48*g**4 - 3*g. Let p(n) be the first derivative of w(n). What is j in p(j) = 0?
1
Factor -6 + 4*r**2 + 0 + 2.
4*(r - 1)*(r + 1)
Let c(w) be the first derivative of -1/30*w**4 + 0*w**3 - w - 2 + 0*w**2. Let t(i) be the first derivative of c(i). Determine x, given that t(x) = 0.
0
Let x = 97/273 - 2/91. Let a(r) be the second derivative of -3/10*r**5 + 1/2*r**4 + 4*r - x*r**3 + 1/15*r**6 + 0*r**2 + 0. Factor a(t).
2*t*(t - 1)**3
Solve 8 - 20 + c - 3*c**2 - c**3 + 9 + 6 = 0 for c.
-3, -1, 1
Let t(o) be the first derivative of -5*o**3/18 - 5*o**2/6 - 5*o/6 - 13. Solve t(j) = 0.
-1
Let p(k) = 2*k + 22. Let j be p(-9). Let d(n) be the second derivative of 0 + n - 1/66*n**j + 2/33*n**3 - 1/11*n**2. Factor d(s).
-2*(s - 1)**2/11
Let y(q) be the second derivative of -q**6/90 - q**5/10 + 7*q**4/36 - 14*q + 1. Let y(i) = 0. What is i?
-7, 0, 1
Let b(d) be the first derivative of d**4/4 - d**2/2 + 3. Factor b(j).
j*(j - 1)*(j + 1)
Suppose 4*w = -2*z + 12, 6 = -w + 3*w - 5*z. Factor 7*a - 5*a**2 + w*a**2 - 4 + a**2 - 3*a.
-(a - 2)**2
Let v(d) = d**2 - 3*d - 7. Let o = 5 + 0. Let b be v(o). Factor -15*h**b + 3*h - 9*h**2 + 2*h + h.
-3*h*(h + 1)*(5*h - 2)
Suppose -y + 1 = -6. Let k(s) = s - 2. Let d be k(6). Let d*z**5 + 5*z**5 - 6*z**4 + 6*z**3 - 2*z**2 - y*z**5 = 0. What is z?
0, 1
Let p(o) = o**3 + 5*o**2 - 7*o - 4. Let z be p(-6). Solve -6*l**3 + 76*l**2 + 3*l + z*l**4 - 72*l**2 - 3*l = 0 for l.
0, 1, 2
Let j(i) be the second derivative of i**7/49 + 8*i**6/105 + 2*i**5/35 - i**4/7 - i**3/3 - 2*i**2/7 + 12*i. Suppose j(n) = 0. What is n?
-1, -2/3, 1
Let o be (2/36)/(16/42). Let v = o - -3/16. Factor -v*j + 0 + 2/3*j**2 - 1/3*j**3.
-j*(j - 1)**2/3
Solve -4*a**3 - 4*a**2 + 21 + 4*a + 0*a - 17 = 0.
-1, 1
Suppose -f + 4*c + 19 = 0, -3 = -4*f - c + 5. Let x**2 + 0 - x - f + 1 = 0. Calculate x.
-1, 2
Factor -3*n**2 - 5 + 9*n**3 + 5 + 0*n**3.
3*n**2*(3*n - 1)
Let h(b) = b**3 + 5*b + 6. Let k(m) = m**3 + 4*m + 5. Let w(q) = -5*h(q) + 6*k(q). Factor w(o).
o*(o - 1)*(o + 1)
Let r(n) be the third derivative of -n**8/70560 + n**5/60 - 2*n**2. Let k(j) be the third derivative of r(j). Factor k(g).
-2*g**2/7
Let x = 9 + -5. Determine t so that 0 + 0*t**3 + 0*t + 2/3*t**x + 0*t**2 = 0.
0
Suppose 12 = -p + 7*p. Suppose -2*v + p*h - 14 + 4 = 0, -v - h + 5 = 0. Factor -5/3*i**3 + 2/3*i + i**2 + v.
-i*(i - 1)*(5*i + 2)/3
Let d(c) be the first derivative of c**3/7 + 3*c**2 + 21*c + 44. Factor d(k).
3*(k + 7)**2/7
Let q(x) = x**2 + 5*x - 8. Let a be q(-7). Suppose -4*f - a = -7*f. Factor 0*h**4 + 3*h**2 + 2*h**4 + 0*h**f - h**2 - 4*h**3.
2*h**2*(h - 1)**2
Let a(o) = -4*o**5 - 12*o**4 - 12*o**3 + o**2 - 5*o + 5. Let g(s) = -6*s**5 - 18*s**4 - 18*s**3 + s**2 - 7*s + 7. Let q(t) = -7*a(t) + 5*g(t). Factor q(u).
-2*u**2*(u + 1)**3
Find c, given that 0 + 4/9*c**2 + 2/9*c + 2/9*c**3 = 