1)**2*(2*g - 1)**2
Let v = 785/526 + 2/263. Find y, given that -15/2*y**2 - 6 - v*y**3 - 12*y = 0.
-2, -1
Let m(b) be the second derivative of -b**6/30 + b**5/10 + b**4/12 - b**3/3 - 7*b. Factor m(u).
-u*(u - 2)*(u - 1)*(u + 1)
Let m = -35/3 - -37/3. Let p(i) be the second derivative of m*i**3 - 4*i + 0 + 1/4*i**4 - 2*i**2. Let p(v) = 0. Calculate v.
-2, 2/3
Let s = 17 - 39. Let i = -22 - s. Factor -1/3*j**2 + 0 + i*j - 1/3*j**3.
-j**2*(j + 1)/3
Let s(a) be the third derivative of a**8/588 - a**6/210 + 23*a**2. Factor s(u).
4*u**3*(u - 1)*(u + 1)/7
Let k(p) be the second derivative of -p**4/16 - p**3/2 - 9*p**2/8 + 36*p. Factor k(j).
-3*(j + 1)*(j + 3)/4
Let j(b) be the first derivative of b**5/5 - b**4/4 - b**3 + b**2/2 + 2*b + 3. Factor j(q).
(q - 2)*(q - 1)*(q + 1)**2
Let w(x) be the second derivative of -5*x**5/6 + 5*x**4/6 - x**3/3 - x**2 - 3*x. Let y(r) be the first derivative of w(r). Solve y(n) = 0.
1/5
Let w be (-6*(-5)/(-600))/((-2)/8). Factor -1/5*d + 1/5*d**3 + 0 + w*d**4 - 1/5*d**2.
d*(d - 1)*(d + 1)**2/5
Let i(r) be the third derivative of 4*r**2 + 0 + 1/6*r**3 + 0*r**4 - 1/480*r**6 + 0*r - 1/80*r**5. Factor i(x).
-(x - 1)*(x + 2)**2/4
Let g(s) = -11*s**3 - 5*s**2 - 12*s - 11. Let c(t) = -5*t**3 - 3*t**2 - 6*t - 5. Let a(q) = -7*c(q) + 3*g(q). Let a(n) = 0. Calculate n.
-1
Let k(o) be the third derivative of o**6/200 + 3*o**5/100 - 2*o**3/5 + 24*o**2. Determine p, given that k(p) = 0.
-2, 1
Let s(v) be the second derivative of -1/12*v**4 - 1/20*v**5 + 0*v**2 + 0*v**3 + 0 + 4*v. Solve s(z) = 0.
-1, 0
Let t(g) be the second derivative of g**4/4 - g**3/2 + 11*g. Determine y so that t(y) = 0.
0, 1
Let s(d) be the first derivative of -7*d**6/12 + 9*d**5/10 + 19*d**4/8 - 13*d**3/6 - 3*d**2 + 2*d + 34. Solve s(v) = 0 for v.
-1, 2/7, 1, 2
Let u(o) be the first derivative of -2*o**3/9 - 2*o**2 - 6*o - 2. Find s, given that u(s) = 0.
-3
Let t(f) be the first derivative of -f**5/36 - 5*f**4/24 - 5*f**3/9 - 4*f**2 - 5. Let j(k) be the second derivative of t(k). What is v in j(v) = 0?
-2, -1
Let l be (0 + (-4)/(-6))/((-188)/(-141)). Let 1/2 + l*q**2 - q = 0. What is q?
1
Suppose -4*f - 5 = -17. Let y(v) = v**2 - v - 4. Let h be y(f). Factor 0*o**2 - h*o - 3*o**2 - 2*o**2.
-o*(5*o + 2)
Let w be 1/(((-5)/(-3))/(28/21)). Let d(m) be the first derivative of w*m - 3 + 2/3*m**3 + 7/5*m**2. Factor d(k).
2*(k + 1)*(5*k + 2)/5
Let b(h) be the first derivative of -h**4/2 + 2*h**3/3 + 4*h**2 - 8*h - 40. Solve b(q) = 0.
-2, 1, 2
Factor 2/5*u**3 - 4/5*u**2 + 0 - 6/5*u.
2*u*(u - 3)*(u + 1)/5
Let o be 4/(-22) + 272/528. Let -s**2 + 2/3*s**3 + o*s + 0 = 0. Calculate s.
0, 1/2, 1
Let j = 12 - 8. What is w in -w**j - 5*w**2 + 2*w**2 + 4*w**2 = 0?
-1, 0, 1
Let 0*j**4 + 0*j**3 + 0*j**2 - 3/4*j**5 + 0 + 0*j = 0. Calculate j.
0
Factor 0*m**2 + 1/2 - 1/2*m**4 + m**3 - m.
-(m - 1)**3*(m + 1)/2
Let x = 3/76 - -27/38. Find z, given that 3/2*z**4 + 0*z**3 - 3/2*z**2 + 3/4*z**5 + 0 - x*z = 0.
-1, 0, 1
Solve 4/7 + 13/7*c**2 + 52/7*c**3 - 5*c**4 - 50/7*c**5 - 20/7*c = 0.
-1, 2/5, 1/2
Let z(r) = 8*r**2 + 5*r - 8. Let w(q) = 1. Let d(c) = -5*w(c) - z(c). Let b(y) = -39*y**2 - 24*y + 15. Let o(j) = 5*b(j) - 24*d(j). Find v, given that o(v) = 0.
-1, 1
Let n be (387/24)/(3/4). Let o = 219/10 - n. Determine m, given that 0*m + o - 2/5*m**2 = 0.
-1, 1
Let l = 39 - 35. Let t(h) be the third derivative of 0*h**3 + 0*h + 0*h**l + 1/630*h**7 + 0 - 3*h**2 + 0*h**6 + 0*h**5. Factor t(c).
c**4/3
Let u(m) be the second derivative of m**6/10 - 9*m**5/20 + 2*m**3 + m. Factor u(t).
3*t*(t - 2)**2*(t + 1)
Let k(t) be the third derivative of -t**9/7560 + t**7/1260 + t**4/12 - 2*t**2. Let y(r) be the second derivative of k(r). Determine u so that y(u) = 0.
-1, 0, 1
Let u be 0*9/6*(-21)/(-63). Determine x so that -2/3*x**3 + 4/3*x + 2/3*x**2 + u = 0.
-1, 0, 2
Let y = -3 + 6. Determine u, given that -u**5 + 2*u - 4*u**5 - y*u + 4*u**5 + 2*u**3 = 0.
-1, 0, 1
Let m(o) be the first derivative of -o**3/5 + 3*o**2/10 + 6*o/5 + 8. Let m(w) = 0. What is w?
-1, 2
Factor 60/11 + 78/11*x - 18/11*x**2.
-6*(x - 5)*(3*x + 2)/11
Let v be 12/(-5)*(-20)/3. Let d = v - 12. Factor 0*j**2 + 1/5*j**d + 1/5*j**3 + 0*j + 0.
j**3*(j + 1)/5
Let k(q) = -q + 12. Suppose -4*b = -h - 46, 9 = 4*h + 1. Let n be k(b). What is a in n - 1/4*a**3 - 1/4*a**2 + 0*a = 0?
-1, 0
Let o = -5 + 7. Let b(c) be the third derivative of 0*c**5 + 0*c + 0*c**3 - 2*c**o + 0 + 1/48*c**4 - 1/240*c**6. What is i in b(i) = 0?
-1, 0, 1
Let h(v) = v**3 + v**2 + v - 1. Let c be h(1). Let p be 14/6 + (-1)/3. Solve -2*r**5 + 6*r**4 + 5*r - 2*r**2 - 4*r**3 + r - p - 2*r**c = 0.
-1, 1
Let c(f) be the second derivative of -3/4*f**4 + 0 + 3/2*f**2 - 3*f - f**3. Factor c(s).
-3*(s + 1)*(3*s - 1)
Factor 6 - 1 - 10*k - 9*k**2 + 14*k**2.
5*(k - 1)**2
Suppose -3 = d + 3*z - 2, -5*z - 15 = -5*d. Let t be d - (-1 - (-4)/4). Determine u so that 1/2*u**3 + 3/2*u + 3/2*u**t + 1/2 = 0.
-1
Let u(z) be the second derivative of z**5/140 + 2*z**4/21 + z**3/2 + 9*z**2/7 - 11*z. Determine s so that u(s) = 0.
-3, -2
Let j(t) be the third derivative of 0*t**3 + 1/24*t**4 - 1/12*t**5 + 0*t + 6*t**2 + 0 + 5/96*t**6. Solve j(k) = 0.
0, 2/5
Let c(y) be the first derivative of -2*y**5/15 - y**4/6 + 4*y**3/9 - 10. Factor c(t).
-2*t**2*(t - 1)*(t + 2)/3
Suppose 4 = h + 4*i - 5*i, 24 = 3*h + 3*i. Suppose -4*t + 14 = h. Factor -1/2*q**2 + t*q - 2.
-(q - 2)**2/2
Let l be (-35)/30 + 1/6. Let w be (12/(-9))/(l + -1). What is d in -4/3*d**3 + w*d**5 + 0*d**4 + 2/3*d + 0 + 0*d**2 = 0?
-1, 0, 1
Factor -26/7*j + 6/7 - 6/7*j**3 + 26/7*j**2.
-2*(j - 3)*(j - 1)*(3*j - 1)/7
Let l(n) be the third derivative of 0 - 2/315*n**7 + 0*n + 11/540*n**6 - 1/9*n**4 + 8/27*n**3 + 1/1512*n**8 - 2*n**2 - 1/135*n**5. Solve l(h) = 0.
-1, 1, 2
Find z, given that z**3 + 4*z**4 - 2*z**2 - 2*z**4 - z**4 = 0.
-2, 0, 1
Let u = -267 + 1339/5. Factor -4/5*h**3 - u*h - 1/5 - 6/5*h**2 - 1/5*h**4.
-(h + 1)**4/5
Let l(n) be the second derivative of 0 + 8*n + 1/105*n**6 + 1/21*n**3 + 0*n**2 + 1/14*n**4 + 3/70*n**5. Let l(a) = 0. What is a?
-1, 0
Suppose -3*s - 37 = b + s, 3*s - 44 = b. Let t = b - -165/4. Determine x so that t + 1/4*x**2 - 1/2*x = 0.
1
Suppose -4*v - 40 = -4*q, -3*q = -4*v - 8*q + 5. Let p(g) = -g - 1. Let w be p(v). Factor 2*x**5 - 4*x**4 + w*x**2 - 8 + 8 - 2*x.
2*x*(x - 1)**3*(x + 1)
Let u = 402 + -399. Solve 2/7*y**u + 6/7*y + 2/7 + 6/7*y**2 = 0.
-1
Let y(d) be the second derivative of d**5/50 - d**4/10 + 4*d**2/5 + 3*d. Factor y(b).
2*(b - 2)**2*(b + 1)/5
Let v(i) be the second derivative of -5*i**7/14 + 2*i**6/3 + i**5/2 - 5*i**4/3 + 5*i**3/6 + 13*i. Determine l so that v(l) = 0.
-1, 0, 1/3, 1
Let c(r) = -r + 7. Suppose 5*a - 20 = 5. Let g be c(a). Factor -3/2*u + 1/2 + u**g.
(u - 1)*(2*u - 1)/2
Let t(z) be the third derivative of -z**6/30 + z**4/2 + 4*z**3/3 + 5*z**2. Factor t(m).
-4*(m - 2)*(m + 1)**2
Let n(f) be the second derivative of f**6/240 - f**5/120 - f**4/48 + f**3/12 + 2*f**2 + 3*f. Let b(q) be the first derivative of n(q). Factor b(t).
(t - 1)**2*(t + 1)/2
Suppose 9*d = 4*d. Let j(f) be the third derivative of 0*f + d + 0*f**3 - 1/240*f**5 + f**2 + 0*f**4. Suppose j(l) = 0. Calculate l.
0
Let z be ((-55)/15 - -1)/((-6)/9). Let q(i) be the second derivative of 0 - 1/2*i**2 - 7/12*i**z - 3*i + 5/6*i**3 + 3/20*i**5. Solve q(a) = 0 for a.
1/3, 1
Let j(b) be the first derivative of b**7/336 + b**6/144 - b**5/48 - 5*b**4/48 + 5*b**3/3 + 5. Let x(q) be the third derivative of j(q). Factor x(m).
5*(m - 1)*(m + 1)**2/2
Let n(u) be the second derivative of 18*u**6/5 + 33*u**5/5 + 17*u**4/4 + u**3 - 15*u. Determine b so that n(b) = 0.
-1/2, -2/9, 0
Let v = -247/15 + 83/5. Let g = 1/5 + v. Factor 4/3*w - 4/3 - g*w**2.
-(w - 2)**2/3
Let v(i) = 56*i**3 + 34. Let l(m) = -5*m**3 - 3. Let t(p) = -68*l(p) - 6*v(p). Factor t(c).
4*c**3
Let f(m) = -m**3 + 18*m**2 - 20*m + 53. Let l be f(17). Factor 3/2*h**l + 1/2 - 2*h.
(h - 1)*(3*h - 1)/2
Factor -7*o**3 - 106*o**2 + 38*o**2 + 35 - 155*o + 15.
-(o + 5)**2*(7*o - 2)
Solve 2*z**2 + 2/3 + 8/3*z = 0 for z.
-1, -1/3
Let d(s) = s**2 - 7*s + 8. Let x be d(6). Suppose x*r = 3*r - h - 6, -3*h - 8 = 2*r. Determine a so that 0*a**2 - 4/3 + r*a - 2/3*a**3 = 0.
-2, 1
Let z(j) = -j**3 + 14*j**2 + 15*j + 4. Let v be z(15). Factor -2/3 + t**2 + t + t**v - 7/3*t**3.
(t