 a**2 - 2 + 3*a**2 + 6 = 0. Calculate a.
-2, -1
Let w = 147 - 147. Let n(b) be the second derivative of 0*b**4 + w*b**2 + 2/9*b**3 + 2*b - 1/20*b**5 + 1/90*b**6 + 0. Factor n(h).
h*(h - 2)**2*(h + 1)/3
Let p be -4*-3*10/60. Factor -2/11*n + 0 + 4/11*n**3 - 2/11*n**p.
2*n*(n - 1)*(2*n + 1)/11
Let o(u) = 3*u**2 - 1. Let q be o(-1). Suppose 8 = -0*p + q*p. Factor -2/7*w**2 + 0 + 0*w**3 + 0*w + 2/7*w**p.
2*w**2*(w - 1)*(w + 1)/7
Suppose 4*n + 2*x + 9 = -5, -x = -4*n - 17. Let w be (-7 + 11)*(-3)/n. Factor 2/5*j**2 - 2/5*j - 2/5 + 2/5*j**w.
2*(j - 1)*(j + 1)**2/5
Let v be (-6)/8 - 38/(-8). Suppose 0 = -t + v. What is c in -c**2 + 0*c - t*c - 3 - 2 + 1 = 0?
-2
Let p(v) be the second derivative of -v**6/25 - v**5/50 - 7*v. Suppose p(z) = 0. Calculate z.
-1/3, 0
Suppose 0 = 4*d - 6 - 2. Suppose 4*z + 5*y + 3 = -0*z, 0 = d*z + y - 3. Let n - 4*n**2 - n**2 - 3*n**z - 3*n = 0. What is n?
-1, -2/3, 0
Let v = -10 + 26. Suppose -k + 5*c - 6 = 12, 0 = -4*c + v. Factor 7*x + 2*x**3 + 0*x**k + 6*x**2 + 0*x**2 - 3*x.
2*x*(x + 1)*(x + 2)
Let k = 3690/6433 - 2/919. Factor -k*r**2 - 2/7*r - 2/7*r**3 + 0.
-2*r*(r + 1)**2/7
Let g(r) = r**3 + 3*r**2 + 3. Let q be g(-3). Suppose -2*c - 20 = -5*u - 0*u, c - 1 = -q*u. Factor 0 - 8*i**2 - 10*i**u + 2.
-2*(3*i - 1)*(3*i + 1)
Let q(j) be the second derivative of -5*j**7/189 - 17*j**6/135 - 7*j**5/30 - 11*j**4/54 - 2*j**3/27 - 3*j. Factor q(w).
-2*w*(w + 1)**3*(5*w + 2)/9
Let c(a) = -a**3 + 10*a**2 + 14*a + 13. Let g be c(13). Let h be -4 + (g/(-10))/6. Factor 8/5 + 0*n + 2/5*n**3 - h*n**2.
2*(n - 2)**2*(n + 1)/5
Let l(q) = -q**3 - 6*q**2 - 6*q - 1. Let b be l(-5). Factor b*m**3 - m**2 + 0*m**3 - 3*m**3.
m**2*(m - 1)
Factor -6/5*o**2 - 4/5*o - 2/5*o**3 + 0.
-2*o*(o + 1)*(o + 2)/5
Solve 28/11*d**3 - 6/11*d**4 - 38/11*d**2 + 8/11 + 8/11*d = 0 for d.
-1/3, 1, 2
Let m(g) be the first derivative of -g**8/2240 + g**6/480 + 2*g**3/3 + 1. Let a(q) be the third derivative of m(q). Determine t so that a(t) = 0.
-1, 0, 1
Let f(o) be the third derivative of o**6/60 + o**5/60 - o**4/24 + 18*o**2. Factor f(w).
w*(w + 1)*(2*w - 1)
Let 0 + 5/3*k**3 + 5/3*k**2 + 0*k = 0. Calculate k.
-1, 0
Suppose -1337 + 68*c**2 - 136*c + 181 - 72*c**2 = 0. Calculate c.
-17
Let m be (4/(-2) + -1)*(2 - 3). Let s(v) be the third derivative of 1/135*v**5 + 1/540*v**6 + 0 + 0*v**m - 2*v**2 - 1/945*v**7 + 0*v**4 + 0*v. Factor s(t).
-2*t**2*(t - 2)*(t + 1)/9
Let c(o) be the third derivative of o**8/2184 + 6*o**7/455 + 31*o**6/390 + 44*o**5/195 + 19*o**4/52 + 14*o**3/39 + 4*o**2 + 4. Factor c(j).
2*(j + 1)**4*(j + 14)/13
Factor 0*h**2 - 8*h - 10*h**2 - 10*h**2 + 28*h**3.
4*h*(h - 1)*(7*h + 2)
Determine c so that 2/7*c**2 + 4/7*c + 0 = 0.
-2, 0
Let g(t) be the third derivative of -t**6/120 - t**5/60 + t**4/12 + 5*t**2. Factor g(b).
-b*(b - 1)*(b + 2)
Let m(y) = y**3 + 6*y**2 + y - 5. Let n be m(-5). What is z in -3*z**3 + 3*z**2 - 12 + 27 - n = 0?
0, 1
Let c(z) = -103*z**3 - 423*z**2 + 381*z - 77. Let h(u) = -104*u**3 - 424*u**2 + 380*u - 76. Let i(b) = 4*c(b) - 3*h(b). Factor i(m).
-4*(m + 5)*(5*m - 2)**2
Let u(h) = -7*h**2 - 4*h. Let x be 0/(-3) + (-3)/(-1). Let d(w) = -34*w**2 - 20*w. Let b(r) = x*d(r) - 16*u(r). Determine t, given that b(t) = 0.
-2/5, 0
Let a(x) be the third derivative of x**8/1344 - x**7/280 + x**6/160 - x**5/240 + 3*x**2. Factor a(i).
i**2*(i - 1)**3/4
Let v(q) be the first derivative of -q**6/160 + q**5/80 + q**4/16 - q**2/2 - 2. Let i(f) be the second derivative of v(f). Solve i(c) = 0 for c.
-1, 0, 2
Let t(v) be the third derivative of v**6/70 - 8*v**5/105 + v**4/6 - 4*v**3/21 + 10*v**2. Find j such that t(j) = 0.
2/3, 1
Let y(o) = o**4 + o**3 + 1. Let x(c) = -7*c**4 - 9*c**3 + 2*c**2 + 4*c - 5. Let r(k) = -x(k) - 5*y(k). Determine s so that r(s) = 0.
-2, -1, 0, 1
Let d(s) be the second derivative of -s**7/1260 - s**6/120 - s**5/30 + s**4/4 + 2*s. Let a(l) be the third derivative of d(l). Solve a(h) = 0 for h.
-2, -1
Let o(y) be the third derivative of -y**5/90 - y**4/18 - 3*y**2. Factor o(x).
-2*x*(x + 2)/3
Suppose -g - g + 4 = 0. Let k = -27/4 + 205/28. Find v such that -18/7*v - k - 2*v**g = 0.
-1, -2/7
Suppose -5*p - 2*y + 17 = 0, -45 = -6*p + p + 5*y. Suppose -p*c - 4 - 4 = -m, -4*c = 4. Find j such that 2*j - j**4 - 2*j - j**m = 0.
-1, 0
Let w be 1 + -2 + (-76)/(-36). Factor 4/9*u + w*u**2 + 2/3*u**3 + 0.
2*u*(u + 1)*(3*u + 2)/9
Let n(w) be the first derivative of -2*w**3/33 - 18*w**2/11 - 162*w/11 - 6. Factor n(d).
-2*(d + 9)**2/11
Let v(y) be the second derivative of 0*y**3 + 1/12*y**4 - 1/8*y**5 + 0 - 1/84*y**7 + 1/15*y**6 + 0*y**2 + 2*y. Factor v(u).
-u**2*(u - 2)*(u - 1)**2/2
Let z(m) be the second derivative of m**5/40 - m**4/12 - m**3/12 + m**2/2 + 5*m. Factor z(u).
(u - 2)*(u - 1)*(u + 1)/2
Factor 0*j + 1/4*j**5 - 1/4*j**3 + 1/4*j**2 - 1/4*j**4 + 0.
j**2*(j - 1)**2*(j + 1)/4
Let m(b) be the third derivative of b**8/168 - b**7/21 + b**6/20 + 3*b**5/10 - 6*b**2. Solve m(j) = 0.
-1, 0, 3
Let 4 + 61*s**5 - 34*s**3 + 43*s**4 + 49*s**5 + 74*s**2 - 38*s**5 - 193*s**4 + 34*s = 0. What is s?
-1/3, -1/4, 1, 2
Let k(p) be the second derivative of -p**4/12 + 5*p**3/6 - 5*p. Let i be k(5). Factor i - 1/2*q**3 - q**4 + 0*q**2 - 1/2*q**5 + 0*q.
-q**3*(q + 1)**2/2
Let m(c) be the first derivative of -1/15*c**5 + 2/3*c - 4 + 1/12*c**4 + 1/3*c**3 - 5/6*c**2. What is i in m(i) = 0?
-2, 1
Let l(x) be the second derivative of x**7/1260 - x**6/270 + x**5/180 - x**3/2 + 2*x. Let u(g) be the second derivative of l(g). Factor u(t).
2*t*(t - 1)**2/3
Let n(z) = -z**2 + z + 5. Let q(y) = 12*y**2 - 12*y - 56. Let h(w) = 32*n(w) + 3*q(w). Factor h(v).
4*(v - 2)*(v + 1)
Let k(w) be the second derivative of 3*w**5/80 - w**4/16 - 5*w. Factor k(g).
3*g**2*(g - 1)/4
Let p(i) be the second derivative of 27*i**5/50 + 3*i**4/2 + 8*i**3/5 + 4*i**2/5 - 4*i. Suppose p(r) = 0. What is r?
-2/3, -1/3
Let m(b) be the second derivative of -b**9/3780 - b**8/1400 - b**7/2100 + b**3/6 - 5*b. Let x(w) be the second derivative of m(w). What is c in x(c) = 0?
-1, -1/2, 0
Let k = -9 - -11. Find g such that 0 - 2*g**k + 8*g - 2*g**3 + 2 - 6*g = 0.
-1, 1
Let h = 0 + 17. Suppose 4*v + 9 = h. Factor 0*k**3 + 2/5*k**4 + 0 + 0*k - 2/5*k**v.
2*k**2*(k - 1)*(k + 1)/5
Let a(w) = w**3 - 2*w**2 - w - 2. Let v be a(3). Let p(s) = 3*s**2 - 1. Let y be p(-1). Factor 0*c**2 - 5*c**v + 3*c**4 + y*c + 2*c**2 - 2*c**3.
-2*c*(c - 1)*(c + 1)**2
Let g(i) = -12*i + 12. Let w be g(1). Find o such that 2/7*o**5 + 0*o**3 - 2/7*o + w + 4/7*o**2 - 4/7*o**4 = 0.
-1, 0, 1
Let i = -2902 + 20360/7. Factor -26/7*m + 54/7*m**2 + 4/7 - i*m**3 + 2*m**4.
2*(m - 1)**3*(7*m - 2)/7
Let b = 422 - 254. Let g be 4/(-18) + b/108. Let -2/3*m**4 + 8/3*m + 2*m**2 - 8/3 - g*m**3 = 0. Calculate m.
-2, 1
Let u(s) be the third derivative of s**5/150 + s**4/60 - 2*s**3/15 - 3*s**2. Factor u(k).
2*(k - 1)*(k + 2)/5
Let c = 8 - 6. Let t(h) be the first derivative of 0*h**2 + 1/9*h**4 + 2/45*h**5 + 2/27*h**3 - c + 0*h. Suppose t(m) = 0. What is m?
-1, 0
Let z(a) be the first derivative of a**7/3360 + 2*a**3 + 2. Let c(k) be the third derivative of z(k). Factor c(h).
h**3/4
Suppose 0*b + 3 = -4*b + 3*p, -4*b + 17 = p. Suppose -b*x - 5*g - 11 = 0, -x = -2*x - g - 1. Solve -y**4 - 2*y**x - 2*y**5 + 4*y**5 + y**2 + 0*y**2 = 0 for y.
-1, 0, 1/2, 1
Let u(c) be the first derivative of c**9/1512 - c**8/2520 - 2*c**3/3 + 3. Let j(b) be the third derivative of u(b). Solve j(o) = 0 for o.
0, 1/3
Let x(b) be the second derivative of b**4/42 + 8*b**3/21 + 16*b**2/7 + 9*b. Factor x(z).
2*(z + 4)**2/7
Suppose 11*j = -j - 2*j. Factor 1/4*y**3 + 1/2*y**2 + j + 0*y.
y**2*(y + 2)/4
Factor 0*k + 0 - 2/5*k**2 - 1/5*k**3.
-k**2*(k + 2)/5
Suppose 10/11*z + 4/11 - 14/11*z**2 = 0. Calculate z.
-2/7, 1
Let a(c) = -c + 4. Let f be a(2). Let d = f + -1. Factor -35*v**3 + 3 - d - 39*v**2 + 2.
-(v + 1)*(5*v + 2)*(7*v - 2)
Let w(c) be the second derivative of 7/12*c**4 + 0 + 1/3*c**3 - 9/20*c**5 - 2*c + 0*c**2. Factor w(l).
-l*(l - 1)*(9*l + 2)
Let v(k) be the third derivative of -k**6/660 - k**5/330 + 6*k**2. Factor v(l).
-2*l**2*(l + 1)/11
Let c(i) be the second derivative of 1/15*i**4 + 0 + 0*i**2 - 1/75*i**6 - 3*i + 0*i**3 - 1/50*i**5. Suppose c(g) = 0. What is g?
-2, 0, 1
Let o(l) be the second derivative of -1/6*l**3 - 2*l + 0*l**2 + 1/900*l**6 + 0*