+ 3654/2772. Factor -9/4 - 1/4*x**2 + i*x.
-(x - 3)**2/4
Suppose 0*x + 15 = x - 2*k, 0 = x + 3*k + 10. Suppose -a + 3 = 2*y, -2*a = -x*y + 15 - 3. Factor 0*n + 0 - 2/5*n**4 - 4/5*n**3 - 2/5*n**y.
-2*n**2*(n + 1)**2/5
Let d(y) be the second derivative of y**7/210 + y**6/75 - y**4/30 - y**3/30 - 3*y. Factor d(f).
f*(f - 1)*(f + 1)**3/5
Let w(o) = 5*o + 230. Let q be w(-46). Factor q - 1/3*m**2 + 0*m - 1/3*m**5 - m**3 - m**4.
-m**2*(m + 1)**3/3
Let p(r) = 12*r**2 + 3*r - 6. Let m(b) = 35*b**2 + 9*b - 18. Let h(q) = 3*m(q) - 8*p(q). Factor h(o).
3*(o + 1)*(3*o - 2)
Let o(q) be the second derivative of -q**4/36 - q**3/18 - 6*q. Let o(h) = 0. What is h?
-1, 0
Factor -12*k**4 - 11*k**2 + 16*k - 16*k**2 - 21*k**2 + 44*k**3.
-4*k*(k - 2)*(k - 1)*(3*k - 2)
Let w = 14 + -7. Let x be 1*-2 + 16/w. What is d in -x*d + 2/7 - 2/7*d**2 + 2/7*d**3 = 0?
-1, 1
Suppose -2 = -f + 2*y - 0, -5*f + 2*y + 26 = 0. Suppose -f*n**2 - 12*n**3 - 7*n**3 - 2*n**3 - 15*n**4 = 0. Calculate n.
-1, -2/5, 0
Let z(o) be the first derivative of -o**4/30 + 4*o**3/45 - 35. Factor z(w).
-2*w**2*(w - 2)/15
Let j(y) be the third derivative of 0*y - 1/30*y**5 + 1/315*y**7 + 1/180*y**6 - 2/9*y**3 - 5/36*y**4 - 2*y**2 + 0. Find d such that j(d) = 0.
-1, 2
Factor 27*d + 53*d**3 - 3*d**4 + 2*d**2 - 11*d**2 - 68*d**3.
-3*d*(d - 1)*(d + 3)**2
Let z(c) be the third derivative of -1/6*c**5 + 1/30*c**6 + 0 + 0*c - 1/6*c**4 + 3*c**2 + 1/21*c**7 + 0*c**3. Factor z(f).
2*f*(f - 1)*(f + 1)*(5*f + 2)
Let p(g) be the second derivative of -g**8/6720 + g**7/3360 + g**3/3 - g. Let j(a) be the second derivative of p(a). Let j(l) = 0. Calculate l.
0, 1
Suppose 4*g + 3 = 15. Suppose 4 = 4*s - g*s. Suppose -5*q**s + q**5 + 5*q**4 + 2*q**4 + q**3 = 0. Calculate q.
-1, 0
Let p(m) be the second derivative of -7/18*m**4 + 0*m**2 + 2/9*m**3 + 0 + 4*m + 1/6*m**5. Suppose p(i) = 0. What is i?
0, 2/5, 1
Let 15*x + 74*x**3 + 23*x**2 - 69*x**3 - 3*x**2 = 0. Calculate x.
-3, -1, 0
Let p(j) be the first derivative of j**7/105 - j**6/20 + j**5/30 + j**4/4 - 2*j**3/3 - j**2/2 - 2. Let h(i) be the second derivative of p(i). Factor h(y).
2*(y - 2)*(y - 1)**2*(y + 1)
Let k(j) = 2*j**3 + 3*j**2 + 3*j - 2. Let s(r) = r**3 + r**2. Let v(f) = 5*k(f) - 15*s(f). Factor v(t).
-5*(t - 1)**2*(t + 2)
Let g(h) be the third derivative of h**8/1344 - h**7/840 - h**6/480 + h**5/240 - 7*h**2. What is b in g(b) = 0?
-1, 0, 1
Suppose 1 + 7 = 4*r. Let z(u) be the second derivative of 2/3*u**3 - u**r - 3*u + 0 - 1/6*u**4. Factor z(x).
-2*(x - 1)**2
Let q be (2/(-5))/2*10/(-4). Let l be (-3)/9 - 1/(-3). Factor l - w**2 + 1/2*w + q*w**3.
w*(w - 1)**2/2
Let v(d) be the third derivative of d**6/480 + d**5/60 + d**4/24 - 20*d**2. Let v(f) = 0. Calculate f.
-2, 0
Let q(l) = l. Let y(r) = -45*r**2 + 32*r - 5. Let n(p) = -2*q(p) + y(p). Factor n(m).
-5*(3*m - 1)**2
Let j(z) be the second derivative of 9*z**7/14 - 9*z**5/4 + 5*z**4/6 + 10*z**3/3 - 4*z**2 + z. Factor j(t).
(t + 1)**2*(3*t - 2)**3
Let x(r) = 10*r + 133. Let u be x(-13). Find p, given that 6*p**2 + 9*p**u + 0 + 3/2*p**5 + 3/2*p + 6*p**4 = 0.
-1, 0
Suppose 2/3*d + 0 - 4*d**3 - d**2 - 7/3*d**4 = 0. What is d?
-1, 0, 2/7
Let l(i) be the first derivative of -1/45*i**5 + 1 - 5/36*i**4 + i**2 + 1/36*i**6 + 2/9*i**3 + 0*i. Let h(j) be the second derivative of l(j). Factor h(q).
2*(q - 1)*(q + 1)*(5*q - 2)/3
Suppose 0*p + 15 = 3*p. Suppose -5*c + 4 + 6 = 0. Let 0*i**3 - 2/7*i**p - 4/7*i**4 + 4/7*i**c + 0 + 2/7*i = 0. Calculate i.
-1, 0, 1
Let r(j) be the second derivative of -j**6/45 + j**5/30 + j**4/6 - j**3/9 - 2*j**2/3 + 42*j. Find t such that r(t) = 0.
-1, 1, 2
Let g = 328 + -2950/9. Suppose -2*y = -4*y. Factor 2/9*l**3 - g*l + 0*l**2 + y.
2*l*(l - 1)*(l + 1)/9
Let a(v) = -6*v**2 + 8*v + 14. Let x be (9/3)/(6/10). Let j(g) = 4*g**2 - 5*g - 9. Let q(y) = x*a(y) + 8*j(y). Factor q(u).
2*(u - 1)*(u + 1)
Let i(g) be the third derivative of -g**6/90 - g**5/24 - g**4/24 - g**3/6 - g**2. Let h(b) be the first derivative of i(b). Factor h(s).
-(s + 1)*(4*s + 1)
Determine z so that 5/3*z**2 + 0 + 1/3*z**4 + 2/3*z + 4/3*z**3 = 0.
-2, -1, 0
Let w = -32 - -40. Let q be 62/w - (-14)/(-56). Suppose -13*r**4 + 0 + 6*r**2 + 3/2*r**3 + q*r**5 - 2*r = 0. Calculate r.
-2/3, 0, 2/5, 1
Find h such that 0*h**2 - 2/3*h**5 + 0*h + 0*h**3 - 2/3*h**4 + 0 = 0.
-1, 0
Suppose -2*l + s = 3*s + 10, -5*s = 5. Let b be (-1)/(2/l) - 0. Factor -8*o - 10*o**3 + 2*o**4 + 12*o**b - 1 + 2*o**3 + 3.
2*(o - 1)**4
Let k(c) = 4*c**2 + 26*c - 50. Let o(a) = -3*a**2 - 25*a + 50. Let l(g) = 5*k(g) + 6*o(g). Determine w, given that l(w) = 0.
5
Let s(l) be the third derivative of 4/135*l**6 + 1/18*l**4 + 0 + 0*l + 1/756*l**8 + 4*l**2 - 1/27*l**3 - 1/105*l**7 - 7/135*l**5. Factor s(w).
2*(w - 1)**4*(2*w - 1)/9
Let a(g) be the third derivative of g**5/270 + g**4/36 - 25*g**2. Factor a(j).
2*j*(j + 3)/9
Let y(n) be the second derivative of 0*n**3 + 0*n**4 - 1/25*n**5 + 0 + 4*n + 0*n**2 + 1/75*n**6. What is j in y(j) = 0?
0, 2
Let u = 2 - 3. Let a(z) = 2*z**2 + z + z**2 - z**3 - 2*z**2. Let w(g) = -7*g**3 + 6*g**2 + 9*g + 2. Let j(f) = u*w(f) + 6*a(f). Factor j(i).
(i - 2)*(i + 1)**2
Let f(c) be the third derivative of c**8/1680 + c**7/420 + c**6/360 + c**4/8 - 5*c**2. Let z(r) be the second derivative of f(r). Factor z(y).
2*y*(y + 1)*(2*y + 1)
Let v = -108 - -111. Let 4/3*l - 4/3*l**v + 2/3 - 2/3*l**4 + 0*l**2 = 0. Calculate l.
-1, 1
Let m(d) = -d**2 + 10*d + 2. Let r be m(10). Let s(o) be the first derivative of 2 + 0*o + 1/9*o**3 + 1/6*o**r. Determine x so that s(x) = 0.
-1, 0
Let j(f) be the second derivative of f**7/630 + f**6/90 + f**5/45 + 7*f**2/2 - 4*f. Let u(p) be the first derivative of j(p). Suppose u(x) = 0. Calculate x.
-2, 0
Suppose 0 = -5*j - 2*g + 2 - 0, -4*j - 2*g = 0. Let 1 + 0 - 16*n**2 + 15*n**j = 0. Calculate n.
-1, 1
Let i(u) be the third derivative of u**8/16800 + u**7/6300 - u**6/1800 - u**5/300 + u**4/8 + u**2. Let h(o) be the second derivative of i(o). Factor h(s).
2*(s - 1)*(s + 1)**2/5
Let z(b) be the second derivative of 2/3*b**3 - 1/5*b**5 + 0 + 1/15*b**6 + 3*b + 0*b**4 - b**2. Factor z(q).
2*(q - 1)**3*(q + 1)
Let r(h) be the first derivative of 2*h**5/5 + h**4 - 2*h**3 + 10. Suppose r(t) = 0. What is t?
-3, 0, 1
Factor 13*n**3 - 8 + 28*n + 8*n - 49*n**2 + 7*n**3 + n**2.
4*(n - 1)**2*(5*n - 2)
Let u(k) be the second derivative of k**5/20 - k**4/6 + k**3/6 - 4*k - 3. Factor u(s).
s*(s - 1)**2
Let u(m) be the first derivative of m**4/12 - m**3/9 - 5*m**2/6 - m + 12. Solve u(o) = 0 for o.
-1, 3
Let x(d) be the third derivative of -d**7/840 - d**6/480 + d**5/240 + d**4/96 - 3*d**2. Factor x(z).
-z*(z - 1)*(z + 1)**2/4
Let r be ((-10)/(-3))/(11/(-396)). Let l = 1082/9 + r. Solve 16/9*i - l*i**5 + 10/9*i**4 - 14/9*i**3 - 8/9 - 2/9*i**2 = 0 for i.
-1, 1, 2
Let c(u) = -2*u**2 + 8*u - 4. Let j = -4 + 5. Let x(d) = 3 - 1 - j. Let z(r) = c(r) - 4*x(r). Factor z(s).
-2*(s - 2)**2
Suppose -4*q - 12 = 2*s, 4*q = 2*s + 11 - 31. Let -2*u - 2*u**3 - 6*u**2 + 4*u + s*u**2 - 4*u = 0. Calculate u.
-1, 0
Let q = -5 + 12. Let o(u) = -u**2 + 7*u + 2. Let n be o(q). Solve -d**n - 2*d**2 + 5*d**2 = 0.
0
Factor 32 - 5*d**2 + 3*d**3 - 4*d**3 - 32.
-d**2*(d + 5)
Let 2/3*s - 1/3*s**2 + 0 = 0. What is s?
0, 2
Let z(k) = k + 3. Let n be 3*1*(-4)/4. Let b be z(n). Factor 1/5*w**5 + b - 2/5*w**4 + 1/5*w**3 + 0*w + 0*w**2.
w**3*(w - 1)**2/5
Let i(v) be the second derivative of v**6/165 + 3*v**5/110 + v**4/22 + v**3/33 + 9*v. Factor i(j).
2*j*(j + 1)**3/11
Factor -4/7*w**2 + 0 + 4/7*w.
-4*w*(w - 1)/7
Let m(o) = -o**2 + o + 2. Let l be m(0). Let f be (-4)/(-40)*l*1. Factor 1/5*i**3 + 3/5*i**2 + f + 3/5*i.
(i + 1)**3/5
Factor 22/3*w**2 + 0 - 4/3*w.
2*w*(11*w - 2)/3
Solve -4/3*v**2 - 4/3*v + 8 = 0 for v.
-3, 2
Let t(v) be the third derivative of -1/6*v**3 + 0*v - 1/600*v**5 + 0 - 1/60*v**4 + v**2 + 1/1800*v**6. Let o(k) be the first derivative of t(k). Factor o(u).
(u - 2)*(u + 1)/5
Factor 2 + 2/9*i**2 + 4/3*i.
2*(i + 3)**2/9
Factor -2/9*b**5 + 2/9*b**2 - 2/9*b**4 + 2/9*b**3 + 0*b + 0.
-2*b**2*(b - 1)*(b + 1)**2/9
Let h be (-1)/(3/(-6)) - 0. Let b(u) = -h*u**2 - 8*u**2 + 12 + 0*u**2. Let f(r) = -r**2 + 1. Let k(m) = b(m) - 12*f(m). Factor k(a).
2*a**2
Let h(g) be the third derivative of -g**7/560 + g**6/80 - g**5/40 - 4*g**2. Solve h(k) = 0.
0, 