) = n**2 + 1. Let q(h) = 2*h**4 - 2*h**3 - 28*h**2 + 10*h - 26. Let f(j) = -44*b(j) - 2*q(j). Factor f(c).
-4*(c - 1)**3*(c + 2)
Let y(u) be the third derivative of 9*u**5/20 + 7*u**4/8 - u**3 - 3*u**2. Factor y(h).
3*(h + 1)*(9*h - 2)
Suppose 5*z + 0*z = 0. Find u such that -6*u**4 - 2*u**3 - 3*u**5 + z*u**3 + 0*u**3 - u**3 = 0.
-1, 0
Let n = 1/19 + 31/133. Factor -2/7*p + n*p**3 + 0 + 0*p**2.
2*p*(p - 1)*(p + 1)/7
Suppose -92 = -15*k - 62. Factor 0 + 0*u + 3/2*u**k + 3/2*u**3.
3*u**2*(u + 1)/2
Suppose 0 = g - 15*g + 28. Factor -1/3*f**2 + g*f - 3.
-(f - 3)**2/3
Let q(n) = 8*n**4 + 42*n**3 - 42*n**2 - 8*n + 22. Let h(f) = -f**4 - 6*f**3 + 6*f**2 + f - 3. Let b(s) = 44*h(s) + 6*q(s). Let b(t) = 0. What is t?
0, 1
Let f(g) be the third derivative of -1/1848*g**8 + 0*g**5 + g**2 - 1/330*g**6 + 0*g**4 + 0 + 1/385*g**7 + 0*g + 0*g**3. Let f(n) = 0. Calculate n.
0, 1, 2
Let c be 36/15 + (-1)/(20/8). Factor -1/3*n + n**c + 0 - n**3 + 1/3*n**4.
n*(n - 1)**3/3
Let t = 12 + -12. Suppose -3*v - 4 - 2 = 4*w, 0 = -2*v + w + 7. Find r, given that 0 - 4/5*r**v + 18/5*r**3 + t*r - 14/5*r**4 = 0.
0, 2/7, 1
Find g, given that -4/5*g + 6/5*g**2 + 2*g**3 + 0 = 0.
-1, 0, 2/5
Let d(p) be the first derivative of -p**6/18 + 2*p**5/15 + p**4/4 - 1. Solve d(l) = 0 for l.
-1, 0, 3
Let t(u) be the third derivative of 1/5*u**5 - 5*u**2 + 0 + 0*u + 1/14*u**7 + 0*u**3 - 1/5*u**6 + 0*u**4 - 1/112*u**8. Factor t(h).
-3*h**2*(h - 2)**2*(h - 1)
Suppose 7 - 79 = -18*b. Let q(d) be the second derivative of -1/3*d**3 + d + 1/12*d**b + 1/2*d**2 + 0. Find l such that q(l) = 0.
1
Let i be (-2*2/(-4))/((-1)/(-2)). Let x(j) = -j + 4. Let o be x(0). Find n, given that 0*n + 2/7*n**i - 4/7*n**3 + 0 + 2/7*n**o = 0.
0, 1
Let k be -1 - ((-6)/(-3) + 169). Let a be k/(-6) + 2/(-3). Factor a*o - 5 - 30*o**2 - 3 - 2*o**4 + 12*o**3 + o**3.
-(o - 2)**3*(2*o - 1)
Let n(w) = -w**2 - 8*w - 15. Let f be n(-5). Find y, given that -1/3*y**3 - 4/3*y**2 + f - 4/3*y = 0.
-2, 0
Let u(l) be the first derivative of 0*l**4 + 2/5*l**5 - 5 + 2*l**2 - 2*l**3 + 0*l. Determine a so that u(a) = 0.
-2, 0, 1
Suppose 71*j = 70*j + 4. Let p(a) be the first derivative of -9*a - 3*a**2 + a**j - 4/5*a**5 - 3 + 11/3*a**3. Suppose p(m) = 0. What is m?
-1, 3/2
Let d be 3/((-3)/(-4)) - 5. Let q be d*((-1)/(-2) - 1). Suppose -q + 1/4*x**2 - 1/4*x = 0. Calculate x.
-1, 2
Let r = 15 - 9. Let a be 2/r + 1/(-3). Factor 9/4*n**2 + a + 5/4*n**4 - 3*n**3 - 1/2*n.
n*(n - 1)**2*(5*n - 2)/4
Let u(b) = -9*b**2 + 12*b - 33. Let s(m) = -19*m**2 + 23*m - 67. Let d(j) = -6*s(j) + 13*u(j). Factor d(r).
-3*(r - 3)**2
Let y(c) = c**2 - c. Let t(b) = 4*b + 2. Let z(a) = 4*t(a) + 4*y(a). Factor z(q).
4*(q + 1)*(q + 2)
Let t(g) = -g**4 + g**3 + g**2 - 3*g - 2. Let j(m) = 2*m**4 - m**2 + 3*m + 2. Let i(u) = 2*j(u) + 3*t(u). Let i(l) = 0. Calculate l.
-2, -1, 1
Let q(b) = -b**4 + b**3 - b - 1. Let w(r) = 8*r**4 - 11*r**3 + 2*r**2 + 11*r + 4. Let s(k) = -21*q(k) - 3*w(k). Determine o so that s(o) = 0.
-1, 1, 3
Let m = 152/5 - 436/15. Let m*a**3 - 2/3 + 4/3*a**2 - 2/3*a**4 - 2/3*a - 2/3*a**5 = 0. Calculate a.
-1, 1
Suppose -4 + 1 = -x. Suppose -x*z = 3*c - 8*z - 9, -c + z + 5 = 0. Let 2*l**3 - 4 + c*l - 1/4*l**4 - 6*l**2 = 0. Calculate l.
2
Let m be (25/15 + -2)*-18. Let s be (3/10)/(m/15). Let 3/4*x**2 + 1/4*x**3 + s*x + 1/4 = 0. Calculate x.
-1
Let z(u) = -u**2 - u. Let q(a) be the third derivative of -a**5/15 - a**4/6 - a**3/6 + 2*a**2. Let o(l) = 4*q(l) - 18*z(l). Find m, given that o(m) = 0.
-2, 1
Find s such that 1/3*s**5 + 135*s + 5*s**4 + 30*s**3 + 81 + 90*s**2 = 0.
-3
Let z(v) be the third derivative of -v**9/15120 + v**4/24 + v**2. Let m(r) be the second derivative of z(r). Determine i, given that m(i) = 0.
0
Let f(z) = -9*z**4 + 11*z**3 + 2*z**2 - 11*z - 7. Let n(q) = 3*q**4 - 4*q**3 - q**2 + 4*q + 2. Let p(v) = 2*f(v) + 7*n(v). Determine b so that p(b) = 0.
-1, 0, 1, 2
Let f = -868/3 + 290. Factor -2/3 - f*m - 1/6*m**2.
-(m + 2)**2/6
Let n be 10/(1/(4/8)). Let j(m) be the second derivative of 0*m**2 + 1/100*m**n + 1/30*m**4 - 2*m + 1/30*m**3 + 0. Factor j(g).
g*(g + 1)**2/5
Let v(n) be the first derivative of n**9/1008 - n**8/1680 - n**7/168 + n**6/360 + n**5/60 + 2*n**3/3 - 2. Let k(t) be the third derivative of v(t). Factor k(z).
z*(z - 1)**2*(z + 1)*(3*z + 2)
Let b = -43 - -26. Let d(o) = 14*o**2 + 17*o - 14. Let w(m) = -5*m**2 - 6*m + 5. Let k(v) = b*w(v) - 6*d(v). Factor k(u).
(u - 1)*(u + 1)
Let i(c) be the third derivative of -c**6/60 - c**5/18 + c**4/18 + 24*c**2. Factor i(z).
-2*z*(z + 2)*(3*z - 1)/3
Let p be (-2 + 14 - (-3 - -5))/2. Let a(i) be the first derivative of -1/4*i**3 + 3/20*i**p + 0*i - 3/8*i**2 - 2 + 3/16*i**4. Suppose a(x) = 0. Calculate x.
-1, 0, 1
Let q(m) be the first derivative of -2*m**3/27 - m**2/9 + 18. Solve q(h) = 0 for h.
-1, 0
Let w(k) be the first derivative of 2*k**5/5 - k**4/2 - 8*k**3 + 45. Find n such that w(n) = 0.
-3, 0, 4
Let i(x) be the third derivative of -x**5/20 - x**4/8 + 13*x**2 + 2. Factor i(y).
-3*y*(y + 1)
Suppose -12 = -2*y - 2*y. Let v be (y/(-9))/(1/(-12)). Solve -4*w**5 - 2*w**2 - v*w**5 + 6*w**3 + 2*w**4 - 2*w**4 = 0 for w.
-1, 0, 1/2
Let z(r) be the first derivative of 1/2*r**4 - 3 + 5*r**2 + 8/3*r**3 + 4*r. Suppose z(j) = 0. Calculate j.
-2, -1
Let i(r) be the second derivative of r**7/210 + 7*r**6/360 + r**5/60 - r**4/24 + r**3/3 - r. Let h(o) be the second derivative of i(o). Solve h(y) = 0.
-1, 1/4
Let x = -3/7 + 22/35. Let t(p) be the second derivative of -2/3*p**3 + 1/3*p**2 + 1/15*p**5 + 0 + 4/63*p**7 + 4/9*p**4 - x*p**6 - 3*p. Let t(h) = 0. What is h?
-1, 1/4, 1
Let v be (-6)/(-27)*(-3)/(-2). Let m(l) be the second derivative of 0 - v*l**3 + 1/18*l**4 + 2/3*l**2 - 3*l. Let m(u) = 0. Calculate u.
1, 2
Let s(r) be the first derivative of 3/20*r**5 - 1/24*r**6 + 0*r + 1 - 3/16*r**4 + 0*r**2 + 1/12*r**3. What is h in s(h) = 0?
0, 1
Let m(j) be the second derivative of -2/45*j**5 + j + 1/54*j**4 + 0*j**2 + 2/27*j**3 - 1/45*j**6 + 0. Factor m(a).
-2*a*(a + 1)**2*(3*a - 2)/9
Let h(n) be the first derivative of 18*n**5/35 - 33*n**4/7 + 314*n**3/21 - 132*n**2/7 + 72*n/7 - 28. Let h(z) = 0. Calculate z.
2/3, 3
Factor -t - 8*t - 5*t**3 + 8*t**3 + 3*t**2 + 3*t**2.
3*t*(t - 1)*(t + 3)
Let x be (-9)/(-42)*128/24. Find v, given that -22/7*v**2 + 16/7*v**3 + x*v**4 + 6/7*v + 0 = 0.
-3, 0, 1/2
Let d(y) be the third derivative of -y**9/45360 + y**8/20160 + y**4/12 - y**2. Let r(u) be the second derivative of d(u). Suppose r(h) = 0. What is h?
0, 1
Let d be (-1)/(28/(-4488)) + 3. Let i = -163 + d. Factor -2/7*v**2 - i + 4/7*v.
-2*(v - 1)**2/7
Let i(p) be the third derivative of 0 + 0*p + 1/60*p**4 - 1/525*p**7 + p**2 - 1/50*p**5 + 0*p**3 + 1/100*p**6. Determine m, given that i(m) = 0.
0, 1
Let x be 0/(((-8)/(-14))/(12/42)). Factor -2/7*b**5 + 2/7*b + 0 + x*b**3 + 4/7*b**4 - 4/7*b**2.
-2*b*(b - 1)**3*(b + 1)/7
Let r be 1/(-2) + 1 + 0/(-2). Let o(k) be the first derivative of -3 + 1/6*k**3 + 0*k - r*k**2. Factor o(c).
c*(c - 2)/2
Let s be 4/6*36/8. Suppose 4*y + s*b - 14 = 0, -2*b = y + 1 - 7. Factor 2/3*n - y*n**3 - 4/3*n**2 + 0.
-2*n*(n + 1)*(3*n - 1)/3
Let s(i) = i**5 - 5*i**4 - 3*i**3 + 3. Let f(o) = o**5 - o**4 - o**3 + 1. Let y(q) = -3*f(q) + s(q). Factor y(k).
-2*k**4*(k + 1)
Let p be ((-12)/(-54))/(44/6). Let l(i) be the first derivative of -p*i**6 + 0*i**3 + 4/55*i**5 - 1/22*i**4 + 1 + 0*i + 0*i**2. Find u, given that l(u) = 0.
0, 1
Let b(h) = 7*h**2 - 5*h + 2. Let s(d) = d. Let i(t) = -3*b(t) + 12*s(t). Determine w, given that i(w) = 0.
2/7, 1
Let s(o) be the first derivative of -2*o**5/55 + 2*o**3/11 - 2*o**2/11 - 12. Factor s(p).
-2*p*(p - 1)**2*(p + 2)/11
Let a(q) = -q**4 - q**3 - q**2 + q + 1. Let w(p) = 19*p**4 - 33*p**3 + 3*p**2 + 9*p + 1. Let j(z) = a(z) - w(z). Solve j(m) = 0.
-2/5, 0, 1
Let z be (-3)/4 + 1 + -16 + 16. Let k(m) be the first derivative of -z*m**4 + 1/3*m**3 - 3 + 0*m**2 + 0*m. Suppose k(t) = 0. Calculate t.
0, 1
Let c(g) be the first derivative of g**4/6 - 2*g**3 + 9*g**2 - 18*g - 5. Find q such that c(q) = 0.
3
Let u(c) be the second derivative of -c**5/120 - c**4/36 - c**3/36 - 6*c. Suppose u(l) = 0. Calculate l.
-1, 0
Let s(l) be the third derivative of -l**8/2016 + l**7/315 - l**6/144 + l**5/180 - 18*l**2. Factor s(b).
-b**2*(b - 2)*(b - 1)**2/6
Suppose