 2)*(j + 1)/3
Let r(p) = p**2 - p - 1. Let w(t) = 24*t**2 - 22*t - 24. Let l(z) = -44*r(z) + 2*w(z). Find y, given that l(y) = 0.
-1, 1
Factor -2/7*b**3 + 0 + 2/7*b**2 + 0*b.
-2*b**2*(b - 1)/7
Let g(s) = s - 1. Let t(q) = 1. Let m(y) = g(y) + 4*t(y). Let k be m(-3). Solve 0*o + k + 1/3*o**3 + 1/3*o**4 - 1/3*o**2 - 1/3*o**5 = 0 for o.
-1, 0, 1
Let x(r) be the third derivative of r**6/660 + r**5/330 - r**4/33 - 4*r**3/33 + 2*r**2. Solve x(w) = 0 for w.
-2, -1, 2
Suppose 14*h - 7*h - 21 = 0. Let d(t) be the first derivative of -2/7*t**h + 1 + 4/7*t + 1/7*t**2. Find c, given that d(c) = 0.
-2/3, 1
Let f(k) be the third derivative of -2*k**7/105 + k**6/5 - 4*k**5/5 + 4*k**4/3 - 8*k**2. Determine n so that f(n) = 0.
0, 2
Let v(k) be the third derivative of -k**5/120 + k**4/16 - k**3/6 - 25*k**2. Suppose v(g) = 0. What is g?
1, 2
Let f be 2/(-6) + (-12)/(-18). Let t(h) be the second derivative of f*h**3 + 0 + 8/5*h**6 + 11/5*h**5 + 4/3*h**4 + 0*h**2 + 3/7*h**7 - h. Factor t(g).
2*g*(g + 1)**2*(3*g + 1)**2
Factor -13*q**3 + 44*q**2 + 0*q**4 - q**5 + 47*q**2 + 8*q**4 - 85*q**2.
-q**2*(q - 6)*(q - 1)**2
Factor 0 + 5/2*p**3 + 13/6*p**4 + 2/3*p**5 + 1/6*p + 7/6*p**2.
p*(p + 1)**3*(4*p + 1)/6
Let c(y) = y**3 - 3*y**2 - 4*y + 5. Let p(a) = -a**2 - a + 1. Let n(g) = -4*c(g) + 20*p(g). Factor n(f).
-4*f*(f + 1)**2
Find y such that -63*y**5 + 55*y - 402*y**4 - 6*y**2 - 168*y**2 + 30*y**2 - 699*y**3 + 53*y = 0.
-3, -2/3, 0, 2/7
Let d(t) be the second derivative of -t**6/120 + t**5/20 + t**3/3 + 2*t. Let o(f) be the second derivative of d(f). Factor o(g).
-3*g*(g - 2)
Factor 4/7*q**3 + 20*q + 44/7*q**2 + 100/7.
4*(q + 1)*(q + 5)**2/7
Let i(k) be the first derivative of -3*k**4/4 + 2*k**3 - 1. Let i(f) = 0. Calculate f.
0, 2
Solve 4/11*c**2 + 4/11*c**3 - 6/11*c - 6/11*c**4 + 2/11 + 2/11*c**5 = 0 for c.
-1, 1
Let f be -6 - -8 - (-1 - 0). Factor 3*l**2 + 5*l**3 - 3*l**f - 5*l**2.
2*l**2*(l - 1)
Let h be (-7 + 4)*(-8)/3. Let q = h + -5. Factor -2*w**4 + 0 - w**2 - 1/2*w**5 - 5/2*w**q + 0*w.
-w**2*(w + 1)**2*(w + 2)/2
Let c(i) be the second derivative of -1/45*i**6 - 1/18*i**3 + 1/126*i**7 + 0*i**2 + 0 + 1/18*i**4 + 0*i**5 - 7*i. Factor c(k).
k*(k - 1)**3*(k + 1)/3
Let j(q) be the second derivative of q**5/20 - 2*q**4/9 - q**3/6 - q. Factor j(l).
l*(l - 3)*(3*l + 1)/3
Let q(j) be the first derivative of -2/9*j + 2/27*j**3 - 6 + 0*j**2. Factor q(i).
2*(i - 1)*(i + 1)/9
Suppose 0*v = 5*v - 30. Let a(q) be the first derivative of -4 + 0*q**2 + 1/6*q**v + 1/2*q**4 + 0*q**3 + 0*q - 3/5*q**5. Factor a(d).
d**3*(d - 2)*(d - 1)
Let k(s) = -2*s - 6. Let u be k(-4). Suppose 0*w = -2*w + m + 1, 4*w + u*m - 14 = 0. Factor 0 - j**w + 1/2*j - 3/2*j**3.
-j*(j + 1)*(3*j - 1)/2
Let r = -33 + 298/9. Let f(y) be the first derivative of r*y**3 - 1 - 1/3*y + 0*y**2. Determine q so that f(q) = 0.
-1, 1
Factor -9*w**5 - 5*w**4 - 6*w**3 + 14*w**5 + 4*w**3 - 8*w**3.
5*w**3*(w - 2)*(w + 1)
Let n(g) = -15*g**4 + 39*g**3 + 15*g**2 - 15*g + 24. Let h(t) = 3*t**4 - 8*t**3 - 3*t**2 + 3*t - 5. Let i(r) = 24*h(r) + 5*n(r). Factor i(s).
-3*s*(s - 1)**2*(s + 1)
Let u(t) be the second derivative of t**5/26 - t**4/26 - 4*t**3/13 - 4*t**2/13 + 6*t. Factor u(j).
2*(j - 2)*(j + 1)*(5*j + 2)/13
Suppose -3*q - 5*s + 0*s = 19, -q - 2*s - 8 = 0. Find z such that 2/7*z**q + 2/7 - 4/7*z = 0.
1
Let v(f) be the first derivative of 23/2*f**2 + 6*f + 5 + 7/3*f**3. Factor v(z).
(z + 3)*(7*z + 2)
Let s(f) be the first derivative of 1/3*f**6 + 4/35*f**5 + 0*f - 1/2*f**4 - 4/21*f**3 + 0*f**2 - 1. Determine t, given that s(t) = 0.
-1, -2/7, 0, 1
Suppose -g = 2*i + 3*i + 7, 3*i = 4*g - 18. Find u such that -3*u - 3*u + 3*u + 3*u**g + 3*u**4 - 3*u**2 = 0.
-1, 0, 1
Let f(a) be the first derivative of -2*a**5/25 + a**4/10 + 2*a**3/5 - a**2/5 - 4*a/5 - 6. Solve f(i) = 0 for i.
-1, 1, 2
Let u(z) = -4*z + 116. Let o be u(29). Factor -1/5*l + 1/5*l**2 + o.
l*(l - 1)/5
Let t(p) be the third derivative of p**5/360 + p**4/144 - 3*p**2. Determine w, given that t(w) = 0.
-1, 0
Solve 4/3 + 4/3*i + 1/3*i**2 = 0.
-2
Let v(t) = -t + 1. Suppose -4*x - 2 = -m - 15, -4*x + 14 = -2*m. Let s(d) = 2*d**2 + 12*d + 4. Let q(y) = m*s(y) - 4*v(y). Factor q(z).
-2*(z + 2)**2
Let x(k) be the third derivative of k**7/560 - 3*k**6/320 + 3*k**5/160 - k**4/64 - 13*k**2. Factor x(j).
3*j*(j - 1)**3/8
Let i be 40/(-100)*(-10)/48. Let l(b) be the third derivative of -i*b**4 + 1/60*b**6 + 0*b + b**2 + 0*b**3 + 0*b**5 + 0. Find w such that l(w) = 0.
-1, 0, 1
Let q = -230 + 233. Solve -2/3*j**q + 0*j**2 + 2/3*j + 0 = 0 for j.
-1, 0, 1
Let s(m) be the first derivative of -m**6/45 - 2*m**5/25 + 8*m**3/45 - 5. Solve s(u) = 0.
-2, 0, 1
Let v(h) be the first derivative of -2*h**3/5 - 4*h**2/5 - 2*h/5 - 3. Let v(i) = 0. Calculate i.
-1, -1/3
Let d(l) = -7*l**3 - 3*l**2 - 2*l - 2. Let q(t) = 85*t**3 + 35*t**2 + 25*t + 25. Let n(p) = 25*d(p) + 2*q(p). Factor n(y).
-5*y**2*(y + 1)
Let l be (-4)/(-10) - 1 - 2664/(-740). Factor 3/4*z**2 - 1 - 1/4*z**4 - z + 1/2*z**l.
-(z - 2)**2*(z + 1)**2/4
Factor 4/5 + 24/5*j**2 - 16/5*j + 4/5*j**4 - 16/5*j**3.
4*(j - 1)**4/5
Factor -3*y + y**2 + 36*y**4 - 22*y**2 + 12*y**3 - 11*y**2 - 13*y.
4*y*(y - 1)*(3*y + 2)**2
Let t(q) = q. Let b(f) = f**4 - 3*f**3 - 9*f. Let h(m) = 4*b(m) + 36*t(m). Determine l, given that h(l) = 0.
0, 3
Let s = 1/170607 - 4473735/6881149. Let d = 2/121 - s. Factor o + d + o**3 - 8/3*o**2.
(o - 2)*(o - 1)*(3*o + 1)/3
Let n = 2/105 - -4/35. Let k(f) be the second derivative of f + 0*f**2 + 0 + 1/30*f**4 - n*f**3. Determine u, given that k(u) = 0.
0, 2
Let k(d) be the third derivative of -d**5/240 + 5*d**4/96 + 38*d**2. Factor k(u).
-u*(u - 5)/4
Let y = 859/6111 + 2/873. Find m, given that y*m + 0 - 1/7*m**2 = 0.
0, 1
Let b(g) be the second derivative of 0*g**3 + 0 - g + 0*g**2 + 1/20*g**5 + 0*g**4. Factor b(n).
n**3
Let p(d) be the first derivative of -d**6/18 - d**5/15 - 1. Factor p(c).
-c**4*(c + 1)/3
Suppose -r = -4*r - 18. Let b(g) = -2*g - 1. Let m be b(r). Solve -m*f**5 - 37*f**3 + 58*f**4 - 13*f**5 + 4*f - 22*f**3 + 19*f**3 + 2*f**2 = 0.
-1/4, 0, 2/3, 1
Let x = -107/3 - -36. Let d(o) be the first derivative of -1 + x*o**3 + 0*o + 5/18*o**6 - 1/5*o**5 + 1/3*o**2 - 7/12*o**4. Determine t so that d(t) = 0.
-1, -2/5, 0, 1
Let n(l) be the third derivative of l**7/525 - l**6/75 + l**5/30 - l**4/30 + 7*l**2. Factor n(i).
2*i*(i - 2)*(i - 1)**2/5
Let c(f) be the first derivative of -3/13*f**2 + 2/39*f**3 + 4/13*f - 7. Find t such that c(t) = 0.
1, 2
Let x(o) = 3*o**2 + 7*o - 2. Let f(w) = -6*w**2 - 15*w + 4. Let j(r) = -4*f(r) - 10*x(r). Solve j(n) = 0 for n.
-2, 1/3
Suppose t = 3*k + 7, -9 = 4*k - 1. Let o(c) = c**3 - 2*c + 1. Let b be o(t). Factor 0*u**2 + b - 2/5*u**3 + 2/5*u.
-2*u*(u - 1)*(u + 1)/5
Let x(m) be the second derivative of m + 0 + 1/5*m**2 - 1/15*m**4 + 0*m**5 + 0*m**3 + 1/75*m**6. Factor x(v).
2*(v - 1)**2*(v + 1)**2/5
Let b(w) be the second derivative of -7*w**5/100 - 11*w**4/60 + w**3/5 - 24*w. Factor b(y).
-y*(y + 2)*(7*y - 3)/5
Let w(s) be the first derivative of -2*s**3/3 - 4*s**2 + 10*s + 15. Determine a, given that w(a) = 0.
-5, 1
Let b(p) be the second derivative of p**6/40 + p**5/15 + p**4/24 + p**2 - 2*p. Let h(c) be the first derivative of b(c). Factor h(j).
j*(j + 1)*(3*j + 1)
Let h(u) be the third derivative of 0*u + 0*u**3 - 1/10*u**7 - 1/15*u**5 + 0 + 0*u**4 + 6*u**2 + 7/48*u**8 - 1/5*u**6. Factor h(n).
n**2*(n - 1)*(7*n + 2)**2
Let -4/11*h**2 - 2/11*h - 2/11*h**3 + 0 = 0. What is h?
-1, 0
Let j be (0 - -2) + 15/(-5). Let g be (j/2)/((-80)/384). Factor -8/5 + g*z - 6/5*z**2 + 1/5*z**3.
(z - 2)**3/5
Let h = 11/564 + 3/47. Let m(k) be the third derivative of -h*k**4 - 2/3*k**3 + 0*k - 3*k**2 + 0 + 1/30*k**5. Determine b so that m(b) = 0.
-1, 2
Solve -2/3*z - 2/3*z**5 + 0*z**2 + 0*z**4 + 4/3*z**3 + 0 = 0.
-1, 0, 1
Determine d, given that -6 + 3 - 3*d - d - 2*d**2 + 1 = 0.
-1
Let w(j) be the second derivative of 3*j + 1/16*j**4 + 1/24*j**3 + 1/120*j**6 + 3/80*j**5 + 0*j**2 + 0. Factor w(m).
m*(m + 1)**3/4
Let j(p) be the first derivative of -2*p**3/21 + 2*p**2/7 - 2*p/7 + 3. Factor j(g).
-2*(g - 1)**2/7
Suppose -3 = -m + x, -m - 3*x = -3*m + 2. Let u = -5 + m. Factor 3*v**2 + 2*v**2 - 3*v**u.
2*v**2
Let c(u) = -2*u**3 + 6*u**2 - 6*u - 1. Let a(o) = -14*o**3 + 42*o**2 - 42*o - 8. L