 Let b(u) = -5 - 2*u**2 - 1 + 11*u - 6*u**2 - 8. Let m(h) = -4*b(h) - 11*c(h). Determine f, given that m(f) = 0.
-1, 1
Let h(o) be the first derivative of -o**3 - 15*o**2 - 75*o + 13. Factor h(d).
-3*(d + 5)**2
Factor 4*u**2 + 4 - 8*u**2 + u**2 + u**3.
(u - 2)**2*(u + 1)
Let j(s) be the third derivative of -s**6/30 - s**5/5 - s**4/3 + 6*s**2. Factor j(t).
-4*t*(t + 1)*(t + 2)
Let w(v) = -6*v**3 + v**2 + v. Let g be w(-1). Let z**2 - 4*z**2 + 9 - g*z + 4*z**2 = 0. What is z?
3
Let a = -76 - -457/6. Factor -1/6*m - a*m**2 + 1/3.
-(m - 1)*(m + 2)/6
Let t(s) = -s**4 + s**3 - 9*s**2 + 9*s - 6. Let y(n) = -n**4 - n - 1. Let m(v) = t(v) - 2*y(v). Solve m(i) = 0 for i.
-4, 1
Let w = -20 - -21. Let q be 6/27 + (1 - w). Factor -2/9*s**3 + 0 + q*s**4 + 0*s - 4/9*s**2.
2*s**2*(s - 2)*(s + 1)/9
Suppose -3/4 - 1/4*h**3 - 7/4*h - 5/4*h**2 = 0. What is h?
-3, -1
Let y = 7/5 - 51/40. Let c(a) be the first derivative of 1/4*a**2 - y*a**4 + 0*a - 2 + 0*a**3. Let c(g) = 0. Calculate g.
-1, 0, 1
Let r = -491/6 - -82. Factor 0*m**2 + 1/3*m**3 + r*m**4 - 1/3*m - 1/6.
(m - 1)*(m + 1)**3/6
Let k = -1376 - -1378. Determine g so that 2/3*g - 2*g**k + 0 = 0.
0, 1/3
Let a(r) = -9*r - 15*r**2 - r**3 + 22*r**3 - r**4 - r**4 - 4*r**4. Let g(f) = -f**4 + f**2 + f. Let s(p) = -a(p) - 9*g(p). Factor s(o).
3*o**2*(o - 1)*(5*o - 2)
Let s(i) = i**2 - i. Let u(z) = -z**3 + 5*z**2 - 4*z - 11. Let y(c) = -c**2 + c + 2. Let a(w) = -2*u(w) - 11*y(w). Let m(f) = a(f) - 3*s(f). Factor m(q).
2*q**2*(q - 1)
Suppose 2*z - 2*u = -u + 7, 3*z - 18 = 4*u. Let i be 4/(-34) - 106/(-34). Let -8*w**i - 22/3*w**z - 4/3*w + 0 + 22/3*w**4 + 28/3*w**5 = 0. What is w?
-1, -1/2, -2/7, 0, 1
Let q(u) = u**2 + u + 1. Let g be q(-2). Solve -i**4 - 2*i**g - 19 + 19 = 0.
-2, 0
Let l be -5*((-832)/(-276) - 3). Let f = l + 61/207. Factor -2/9*b**3 + 0*b + 2/9*b**4 - f*b**2 + 0 + 2/9*b**5.
2*b**2*(b - 1)*(b + 1)**2/9
Let a(j) be the third derivative of -j**8/1680 + j**7/150 - 2*j**2 + 18. Factor a(d).
-d**4*(d - 7)/5
Factor 56*a - 50/3*a**4 + 22/3*a**2 - 140/3*a**3 - 24.
-2*(a + 2)**2*(5*a - 3)**2/3
Let r = 3 + 0. Suppose i**2 + 6*i**5 + 2*i**3 + 14*i**4 + i**2 + 8*i**r = 0. Calculate i.
-1, -1/3, 0
Let b = -6/31 - -105/62. Factor -1/2*r**2 - 1 + b*r.
-(r - 2)*(r - 1)/2
Find m such that 104/19*m**2 + 246/19*m**4 + 244/19*m**3 + 90/19*m**5 + 0 + 16/19*m = 0.
-1, -2/3, -2/5, 0
Let s(i) be the third derivative of -i**7/1120 - i**6/120 - 3*i**5/160 + 7*i**3/6 - i**2. Let j(z) be the first derivative of s(z). Find b, given that j(b) = 0.
-3, -1, 0
Let y(a) be the second derivative of -a**5/110 - 3*a**4/22 - 8*a**3/11 - 16*a**2/11 + 12*a. Solve y(d) = 0.
-4, -1
Let q be (-8)/(-6) + (-1)/3. Let -d - 5*d**2 + 4*d**2 - 2*d + d - q = 0. What is d?
-1
Let z(t) = 7*t**3 + 2*t - 1. Let j be z(1). Let s(g) = -2*g**2 - 5*g + 2. Let f(x) = -3*x**2 - 8*x + 3. Let v(h) = j*s(h) - 5*f(h). Solve v(o) = 0 for o.
-1, 1
Let i(g) be the second derivative of -4*g**4/27 + 2*g**3/9 + 2*g**2/9 - 2*g + 5. Factor i(s).
-4*(s - 1)*(4*s + 1)/9
Let d(t) be the second derivative of -2*t**7/21 + 4*t**6/15 + 2*t**5/5 - 4*t**4/3 - 2*t**3/3 + 4*t**2 - 5*t - 6. Solve d(x) = 0 for x.
-1, 1, 2
Suppose -4*z + 0 = -5*j + 29, 5*j + 2*z - 23 = 0. Suppose -c = -j*c. Factor 2/5*u**3 - 4/5*u**2 + 2/5*u + c.
2*u*(u - 1)**2/5
Find z such that 130*z**3 + 0*z**2 + 16*z**2 - 134*z**3 = 0.
0, 4
Let y(o) be the first derivative of 8/11*o - 4/11*o**2 + 2 + 2/33*o**3. Factor y(p).
2*(p - 2)**2/11
Let t(b) be the third derivative of -b**7/105 - b**6/10 - 13*b**5/30 - b**4 - 4*b**3/3 - 10*b**2. Factor t(a).
-2*(a + 1)**2*(a + 2)**2
Let x(s) be the third derivative of 3*s**2 + 0 + 1/240*s**6 + 1/40*s**5 + 1/16*s**4 + 1/12*s**3 + 0*s. Factor x(z).
(z + 1)**3/2
Let o(x) = x**5 + x**4 + x**3 - x. Let b = 11 + -9. Let r(v) = -2*v**5 - 5*v**4 - 6*v**3 - 2*v**2 + v. Let t(k) = b*o(k) + 2*r(k). Find i such that t(i) = 0.
-2, -1, 0
Let d(a) be the third derivative of -a**6/540 + a**5/10 - 9*a**4/4 + 27*a**3 + 7*a**2. Factor d(x).
-2*(x - 9)**3/9
Let 1/4*t + 4*t**2 + 0 = 0. What is t?
-1/16, 0
Let f(k) be the third derivative of -k**6/30 + 2*k**5/3 - 25*k**4/6 + 13*k**2. Factor f(h).
-4*h*(h - 5)**2
Let j = -10 - -5. Let t be (-1)/((j/4)/5). Factor 2*s**2 + 0*s**2 - 5*s**4 + 2*s**t + s**2 + 3*s**3 - 3*s**5.
-3*s**2*(s - 1)*(s + 1)**2
Let v(b) be the first derivative of 2*b**3/9 + b**2/3 + 8. Factor v(h).
2*h*(h + 1)/3
Let m(n) = 2 + 6 + 3*n**2 + 2 + 9*n - 2*n**2. Let x be m(-8). Let -6/5*l**x - 4/5*l - 2/5*l**3 + 0 = 0. Calculate l.
-2, -1, 0
Let g(t) be the third derivative of 3*t**7/35 - 7*t**6/20 + t**5/30 + 3*t**4/4 + 2*t**3/3 + 17*t**2. Find a, given that g(a) = 0.
-1/3, 1, 2
Let o = -137/2 + 69. Let p(b) be the first derivative of 1/12*b**6 + 0*b - 3/8*b**4 + o*b**2 + 1/10*b**5 - 2 - 1/6*b**3. Solve p(l) = 0.
-2, -1, 0, 1
Let d be 2/(0 + 2)*-10. Let h = d + 15. Factor -2/7*w - 2/7*w**h - 8/7*w**4 - 12/7*w**3 + 0 - 8/7*w**2.
-2*w*(w + 1)**4/7
Let s(a) = -2*a**2 - 6*a - 4. Let b(h) = -6*h + 18 + 2*h**2 - 5*h**2 + h**2 - 22. Let v(m) = -7*b(m) + 6*s(m). Factor v(t).
2*(t + 1)*(t + 2)
Let v(d) be the first derivative of 4 - 2/15*d**3 + 1/5*d**2 + 2/5*d - 1/10*d**4. Factor v(j).
-2*(j - 1)*(j + 1)**2/5
Let z = 22 - 14. Let h = 8 - z. Solve -1/3*q**4 + 1/3*q**2 + 0*q**3 + h*q + 0 = 0.
-1, 0, 1
Solve 2/9*h + 4/9*h**2 + 2/9*h**3 + 0 = 0 for h.
-1, 0
Let o(v) = 2*v**2 - 2. Suppose 0 = b + 2*t + 7, 5*t = t - 20. Let m(i) = i + 6*i**2 - 3 - b*i**2 + i**2. Let r(g) = 2*m(g) - 5*o(g). Factor r(k).
-2*(k - 2)*(k + 1)
Suppose 3*r + 5 = 8*r. Factor -3*m - 2 + r + m**2 + 3*m.
(m - 1)*(m + 1)
Let l(h) = -3*h**2 - 3*h + 7. Let u(a) = a**2 + a - 2. Let w = 25 + -18. Let s(j) = w*u(j) + 2*l(j). Let s(b) = 0. What is b?
-1, 0
Let k = 3577/22754 - -3/734. Let g = k - -99/155. Factor -2/5*q**2 + 0 + g*q.
-2*q*(q - 2)/5
Let w(f) be the third derivative of -f**6/360 - f**5/30 - f**4/8 - 2*f**3/3 - 3*f**2. Let y(r) be the first derivative of w(r). Factor y(b).
-(b + 1)*(b + 3)
Let g(f) be the second derivative of f**6/2340 + f**5/390 - f**4/52 + 7*f**3/6 + f. Let x(o) be the second derivative of g(o). Factor x(t).
2*(t - 1)*(t + 3)/13
Suppose 0 = 8*k + 24*k. Solve 0 + 4/17*y**3 + 0*y**2 + 6/17*y**4 + 2/17*y**5 + k*y = 0.
-2, -1, 0
Let o be (-4)/(-10) - (-231)/35. Let x(w) = -w**3 + 6*w**2 + 8*w - 5. Let m be x(o). Factor 0*h + h + 2*h**2 + h**m + h**4 + 3*h**3.
h*(h + 1)**3
Let p be (-3 + 225/78)/((-66)/176). Find j, given that p*j**3 - 4/13*j**2 - 6/13*j + 6/13*j**4 + 2/13*j**5 - 2/13 = 0.
-1, 1
Let t = -120 - -122. Let q(m) be the second derivative of -1/3*m**4 + 3/10*m**5 + 0*m**t + 0 + 0*m**3 - m. Factor q(h).
2*h**2*(3*h - 2)
Let g(v) be the first derivative of 7*v**3/15 + 23*v**2/10 + 6*v/5 + 3. Suppose g(w) = 0. Calculate w.
-3, -2/7
Let h(j) = 4*j**2 - 46*j + 48. Let q(z) = -4*z**2 + 45*z - 46. Let p(m) = -5*h(m) - 6*q(m). Factor p(o).
4*(o - 9)*(o - 1)
Let x be 0/8 + (-3)/(-2). Factor 0 - x*n**3 - 1/2*n + 3/2*n**2 + 1/2*n**4.
n*(n - 1)**3/2
Factor 11*f + 10*f + 0*f**2 - 11*f + 2*f**2.
2*f*(f + 5)
Factor -3 - 2*d + 4 - 5 + 1 + d**2.
(d - 3)*(d + 1)
Factor -52*i**3 - 54*i**3 + 118*i**3 + 1 - 13*i**2.
(i - 1)*(3*i - 1)*(4*i + 1)
Let h(k) be the third derivative of k**7/30 + 3*k**6/40 - k**5/5 - k**4/6 + 14*k**2. Determine q, given that h(q) = 0.
-2, -2/7, 0, 1
Suppose -6*q - 216 + 60 = 0. Let m = q + 28. Suppose -8/9*s**4 + 8/9*s**3 + 4/9*s**m + 2/9*s**5 - 10/9*s + 4/9 = 0. Calculate s.
-1, 1, 2
Let n(q) be the third derivative of -q**5/20 - 3*q**4/8 + 3*q**2. Factor n(a).
-3*a*(a + 3)
Let w(o) be the first derivative of o**7/105 + o**6/15 + o**5/5 + o**4/3 + o**3/3 + o**2 + 3. Let m(v) be the second derivative of w(v). Factor m(z).
2*(z + 1)**4
Let t(z) = 2*z**3 - 3*z**2. Let x(p) = -p - 4. Let w be x(-6). Let v be t(w). Factor 0 + 2 - v*i**2 - 3*i - i**2.
-(i + 1)*(5*i - 2)
Let u be ((-180)/(-27))/((70/3)/5). Find y, given that u*y**2 + 8/7*y**3 - 4/7*y - 6/7 = 0.
-1, 3/4
Let q(j) be the second derivative of 5*j**7/2 + 457*j**6/30 + 139*j**5/5 + 8*j**4 - 32*j**3/3 - 8*j**2 + 33*j. Suppose q(r) = 0. Calculate r.
-2, -2/5, -2/7, 1/3
Let h(p) = 8*p**3 - 8*p - 2. Let l(m) = m**4 - 17*m**3 + m**2 + 17*m + 3. Let x(t) = 5*h(t) + 2*l(t). Let x(j) = 0. What is j?
-2, -1, 1
Let k = -1031 - -1033. 