of m**7/945 - m**6/108 + m**5/30 - 7*m**4/108 + 2*m**3/27 + 25*m**2. What is b in g(b) = 0?
1, 2
Let b(c) = 2*c + 12. Let n be b(-4). Suppose -3 = n*q + t, q - 5*t + 1 = 16. Factor 0*p - 1/2*p**2 + q.
-p**2/2
Solve -36 + 15*a**2 + 40*a - 31*a**2 + 12*a**2 = 0 for a.
1, 9
Let w(j) = 5*j**5 + 19*j**4 + 51*j**3 + 41*j**2 + 16*j + 6. Let z(p) = -p**4 + p**3 + p**2 + p + 1. Let d(h) = -w(h) + 6*z(h). Suppose d(o) = 0. Calculate o.
-2, -1, 0
Determine z so that 2*z**5 - 2*z**3 + 2*z**5 - z**3 - 3*z**5 - 2*z**2 = 0.
-1, 0, 2
Let q be (12/(-20))/(81/(-36)). Factor -2/15*t**2 + q - 2/15*t.
-2*(t - 1)*(t + 2)/15
Let f(m) = -m**3 + m**2 + m - 1. Let p(j) = 2*j**2 + 8*j + 6. Let d(z) = -2*f(z) - 2*p(z). Factor d(n).
2*(n - 5)*(n + 1)**2
Let t(y) = 2*y**2 + 2*y - 1. Let h be t(-2). Determine o, given that 3*o**4 - 3*o**2 + 0*o - 3*o**5 + 2*o + 2*o**5 - o**h = 0.
-1, 0, 1, 2
Let u(d) = 7*d**3 - 15*d + 13 - d**3 + 19*d**2 + d**3 - 11*d**4. Let q(c) = 5*c**4 - 3*c**3 - 9*c**2 + 7*c - 6. Let j(v) = -13*q(v) - 6*u(v). Solve j(z) = 0.
0, 1
Let 44*u**2 + u**3 - 8*u - 5*u**3 - 32*u**2 = 0. What is u?
0, 1, 2
Let x(t) be the third derivative of t**8/504 - t**6/180 + 36*t**2 + 1. Factor x(z).
2*z**3*(z - 1)*(z + 1)/3
What is d in -7*d + 17*d + 7*d + 10*d - 3*d**2 = 0?
0, 9
Let f(h) be the first derivative of h**3/12 - 4*h**2 + 64*h + 21. Factor f(d).
(d - 16)**2/4
Let g(x) = -x + 7. Let v be g(0). Let j(k) = 3*k**3 + k**2 - 2*k + 5. Let c(m) = 4*m**3 + m**2 - 3*m + 7. Let t(n) = v*j(n) - 5*c(n). Factor t(w).
w*(w + 1)**2
Suppose 4*a + a - 10 = 0. Suppose 4*n**4 + 4*n**2 - 2*n**3 - 2*n**3 - n - a*n**3 - n**5 = 0. Calculate n.
0, 1
Let b(v) be the second derivative of v**7/2100 - v**6/180 + 2*v**5/75 - v**4/15 + 2*v**3/3 + 2*v. Let s(i) be the second derivative of b(i). Factor s(k).
2*(k - 2)**2*(k - 1)/5
What is r in -2*r**3 + 0*r - 3/2*r**2 - 1/2*r**4 + 0 = 0?
-3, -1, 0
Find v such that 6*v**3 + v**4 + 3 - 6*v - 2*v**2 - 4*v**4 + 2*v**2 = 0.
-1, 1
Factor 1/4*m**2 + 2*m + 3.
(m + 2)*(m + 6)/4
Let k(l) be the first derivative of 2*l + 3 + 7/5*l**5 - 23/4*l**4 - 13/2*l**2 + 9*l**3. Determine r so that k(r) = 0.
2/7, 1
Let k(d) be the second derivative of 1/8*d**4 + 0*d**2 + 0 - 1/40*d**5 - 1/6*d**3 + d. Suppose k(p) = 0. What is p?
0, 1, 2
Let d = 80/1917 - 1/213. Let f(w) be the second derivative of w + 0*w**2 - d*w**3 + 1/54*w**4 + 0. Factor f(k).
2*k*(k - 1)/9
Let x be (-2 - (-9 + 8))/(-4 + 0). Factor 0 - 1/4*q**2 - x*q.
-q*(q + 1)/4
Let x(j) = j + 1. Suppose 0 = 2*a + 3 - 1. Let r be x(a). Let 2*b**3 + 2/3*b**2 + r + 0*b = 0. What is b?
-1/3, 0
Suppose -23 = 3*q + 3*x + 2*x, 4*x = -q - 17. Let l be ((-1)/(-2)*-6)/q. Determine w so that 2*w**l - 2*w**2 + 0*w + w - w = 0.
0, 1
Let w(n) be the first derivative of n**4/6 - 8*n**3/9 + 5*n**2/3 - 4*n/3 + 11. Factor w(j).
2*(j - 2)*(j - 1)**2/3
Let m(i) be the first derivative of -i**8/1008 - i**7/210 - i**6/120 - i**5/180 - 3*i**2 + 7. Let h(k) be the second derivative of m(k). Factor h(s).
-s**2*(s + 1)**3/3
Let s(a) be the first derivative of a**4/18 + 2*a**3/3 + 8*a**2/3 + 32*a/9 + 3. Factor s(d).
2*(d + 1)*(d + 4)**2/9
Determine w, given that 0*w - 2/5*w**4 + 0*w**2 + 0 + 2/5*w**3 = 0.
0, 1
Let w(i) = 6*i**2 + 35*i + 35. Let b(d) = -10*d - 2*d - 7*d + d - 18 - 3*d**2. Let k(f) = -11*b(f) - 6*w(f). Factor k(x).
-3*(x + 2)**2
Let l(w) be the second derivative of 1/42*w**7 + 2*w - 1/15*w**6 + 0*w**5 - 1/6*w**3 + 0 + 0*w**2 + 1/6*w**4. Solve l(f) = 0 for f.
-1, 0, 1
Let x(b) be the first derivative of -3*b**4/4 + b**3 + 3*b**2/2 - 3*b + 14. Suppose x(v) = 0. What is v?
-1, 1
Let h(l) be the first derivative of -5*l**6/12 - 43*l**5/40 - 3*l**4/4 + l**3/24 + l**2/8 - 6. Determine a, given that h(a) = 0.
-1, -2/5, 0, 1/4
Suppose 2/5*p**3 + 2*p**2 + 16/5*p + 8/5 = 0. What is p?
-2, -1
Let i(y) = -y**4 - y**3 + 4*y**2 + y - 2. Let m(p) = p**4 - p**3 + p. Let b(u) = -2*i(u) + 2*m(u). Suppose b(k) = 0. Calculate k.
-1, 1
Let q(k) be the third derivative of k**7/105 + k**6/20 - k**5/10 - 7*k**4/12 + 2*k**3 + 44*k**2. Solve q(b) = 0.
-3, -2, 1
Find n, given that 5 + 11/2*n + 1/2*n**2 = 0.
-10, -1
Let z(u) be the third derivative of u**6/1080 + u**5/360 + u**3/3 + u**2. Let a(q) be the first derivative of z(q). Find f such that a(f) = 0.
-1, 0
Let r(b) = b - 5. Let q be r(5). Let c = 2 + q. Factor 3*x**c + x**3 - 2*x**2 + 1 - 2*x**2 - 3*x + 2*x.
(x - 1)**2*(x + 1)
Let v = 13 - 9. Suppose 46*z**2 - 4*z**v + 38*z**3 - 23*z**4 - 16*z - 83*z**4 + 50*z**5 - 8 = 0. What is z?
-2/5, 1
Determine c, given that 826*c + 8 - 816*c - c**2 + 3*c**2 = 0.
-4, -1
Let t(h) = 11*h**2 + 32*h + 27. Let g(n) = -4*n**2 - 11*n - 9. Let w(k) = 8*g(k) + 3*t(k). Let s be w(-7). Factor c**2 - c**2 + s*c**2 - 2*c.
2*c*(c - 1)
Suppose 0*p**2 + 1/4*p**3 - 3/4*p + 1/2 = 0. What is p?
-2, 1
Let i = -426 + 3417/8. Let m(y) be the first derivative of -7/3*y**3 + i*y**6 - 9/8*y**4 - 3 + 0*y + 27/20*y**5 - y**2. Factor m(b).
b*(b - 1)*(3*b + 2)**3/4
Let j(r) = r**5 + 8*r**4 + 11*r**3 - 37*r**2 + 5. Let t(d) = 2*d**5 + 8*d**4 + 10*d**3 - 38*d**2 + 6. Let y(z) = 6*j(z) - 5*t(z). Find q such that y(q) = 0.
-2, 0, 2
Let b be ((-24)/(-20))/3*3/6. Factor b*f**2 - 4/5*f + 4/5.
(f - 2)**2/5
Let f(u) = 21*u**4 + 41*u**3 + 21*u**2 - 41*u - 31. Let o(q) = 11*q**4 + 21*q**3 + 11*q**2 - 21*q - 16. Let y(w) = -6*f(w) + 11*o(w). Factor y(c).
-5*(c - 1)*(c + 1)**2*(c + 2)
Let k(a) = -9*a**2 - 3*a + 29. Let w(i) = -i**2 + i - 10. Let p(n) = -n**2 - 1. Let c(j) = 6*p(j) - 2*w(j). Let h(r) = -13*c(r) + 6*k(r). Factor h(s).
-2*(s - 2)**2
Suppose 8*k + 8 = 10*k. Factor w**5 + 0 + 1/3*w**3 - 1/3*w**2 + 5/3*w**k + 0*w.
w**2*(w + 1)**2*(3*w - 1)/3
Solve 2*s**2 + 12 + 8*s + 0 + 0*s**2 + 2*s = 0 for s.
-3, -2
Let l = -6 + 9. Let h be 3/24*l*2. Determine f, given that -1/4 + 1/2*f + h*f**2 = 0.
-1, 1/3
Suppose 0 = -20*o + 7*o. What is w in 3/2*w**2 + o + 1/4*w + 9/4*w**3 = 0?
-1/3, 0
Let v(t) be the second derivative of -7*t + 0 + 0*t**3 + 3/20*t**5 + 0*t**2 + 1/42*t**7 - 1/12*t**4 - 1/10*t**6. Let v(a) = 0. Calculate a.
0, 1
Let f = -7 + 3. Let v(c) = 4*c**2 + 2*c. Let m(h) = -3*h**2 - 2*h. Let o = -32 - -26. Let u(n) = f*v(n) + o*m(n). Let u(p) = 0. Calculate p.
-2, 0
Factor -2/15*k**3 + 0 + 0*k**2 + 2/15*k**5 + 0*k + 0*k**4.
2*k**3*(k - 1)*(k + 1)/15
Let c = 388/3 + -129. Let m(h) = -h**3 - 6*h**2 + 7*h. Let t be m(-7). Factor c*f**2 + t + 2/3*f.
f*(f + 2)/3
Let c be 1 + 1 + (-69)/(-12) + -6. Find p such that -c*p - 3/4*p**5 - 13/4*p**4 - 9/2*p**2 - 1/4 - 11/2*p**3 = 0.
-1, -1/3
Suppose 243*g - 6 = 240*g. Let p(n) be the second derivative of 0*n**2 + 0*n**3 + 0 + g*n - 1/48*n**4 - 1/80*n**5. Determine a, given that p(a) = 0.
-1, 0
Let q(y) be the second derivative of -2*y**7/7 + 19*y**6/30 - y**5/15 - y**4/2 + y**2/6 - 7*y. Let q(a) = 0. Calculate a.
-1/3, 1/4, 1
Let n(d) be the second derivative of 5*d**4/12 + 5*d**3/6 - 5*d**2 - 13*d - 1. Factor n(b).
5*(b - 1)*(b + 2)
Let l(u) be the third derivative of u**6/420 - u**5/70 + u**4/28 - u**3/21 + u**2. Factor l(c).
2*(c - 1)**3/7
Let l(b) be the second derivative of b**5/4 - 5*b**4/2 + 15*b**3/2 - 5*b. Suppose l(u) = 0. What is u?
0, 3
Factor 125/3 + 5/3*s**2 + 50/3*s.
5*(s + 5)**2/3
Let d(k) be the second derivative of 1/10*k**5 + 3*k + 0*k**3 + 1/30*k**6 + 0*k**2 + 1/12*k**4 + 0. Factor d(r).
r**2*(r + 1)**2
Let x(r) = -r**2 + 4*r + 8. Let l be x(6). Let z be l/22 - 224/(-385). Suppose -2/5 - 4/5*b - z*b**2 = 0. What is b?
-1
Let i be 32/570*5049/242. Let m = i + 6/209. Factor 3*p**3 - m + 24/5*p**2 + 3/5*p.
3*(p + 1)**2*(5*p - 2)/5
Let m = 8 + -11. Let t be 1/(-3)*2/m. Factor -4/9*z**2 + t*z**3 + 0 + 2/9*z.
2*z*(z - 1)**2/9
Let i(z) be the first derivative of -64*z**5/3 + 20*z**4/3 + 20*z**3 + 55*z**2/6 + 5*z/3 + 7. Solve i(r) = 0 for r.
-1/4, 1
Let a(u) be the third derivative of 3*u**6/140 + u**5/35 + u**4/84 - 8*u**2. Factor a(t).
2*t*(3*t + 1)**2/7
Let t(n) be the first derivative of n**5/5 - n**3 + n**2 + 12. Factor t(d).
d*(d - 1)**2*(d + 2)
Let n(v) be the first derivative of v**5/10 + v**4/4 - v**3/2 - v**2 + 2*v - 6. Determine w so that n(w) = 0.
-2, 1
Let b(a) be the third derivative of 3/20*a**6 + 0*a**3 - 7/30*a**5 + 0 + 1/168*a**8 - 1/21*a**7 + 2*a**2 + 0*a + 1/6*a**4. Suppose b(d) = 0. Calculate d.
0, 1, 2
Let y(d) be 