 Solve l(x) = 0 for x.
-1, 5/2
Let p be 6/7 - (-6)/(-9). Let y(g) be the second derivative of p*g**3 + 0 - 2*g - 1/42*g**4 - 4/7*g**2. Solve y(a) = 0 for a.
2
Factor -1/3*k + 1/3*k**2 + 0.
k*(k - 1)/3
Let 0 + 1/2*v**2 + 0*v = 0. What is v?
0
Determine p, given that 3*p**2 - 8*p**4 - 11*p**2 - 2*p**3 - 10*p**3 + 4*p**4 = 0.
-2, -1, 0
Let y(f) be the second derivative of f**9/10584 - f**8/1176 + 2*f**7/735 - f**6/315 + f**3 - 5*f. Let h(b) be the second derivative of y(b). Factor h(p).
2*p**2*(p - 2)**2*(p - 1)/7
Let d(m) be the second derivative of 1/24*m**4 - 1/24*m**3 - 1/8*m**2 + 3*m + 0. Factor d(h).
(h - 1)*(2*h + 1)/4
Let p(w) = -19*w**3 - 61*w**2 + 99*w - 29. Let m(u) = -9*u**3 - 31*u**2 + 50*u - 14. Let a(x) = -5*m(x) + 2*p(x). Determine o so that a(o) = 0.
-6, 2/7, 1
Let a(t) be the third derivative of 3*t**5/5 - 7*t**4/6 - 4*t**3/3 - 32*t**2. Factor a(j).
4*(j - 1)*(9*j + 2)
Let z(k) = k**2 + 8*k + 3. Let b be z(-8). Let p(h) be the third derivative of 0*h**4 + 0*h**5 + 0*h + 0 + 2*h**2 + 0*h**b + 1/120*h**6. Factor p(x).
x**3
Suppose 0 = -0*z + 3*z - 69. Suppose 0 = l + 5*n - z, -17 = l - 0*l - 5*n. Factor -8/7*t + 0 + 8/7*t**2 - 2/7*t**l.
-2*t*(t - 2)**2/7
Let j = -305 + 305. Factor -1/3*a**4 + j*a + 0*a**2 + 0 + 0*a**3.
-a**4/3
Let g(m) be the third derivative of -m**6/360 - m**5/60 - m**4/24 + m**3/2 - 8*m**2. Let w(o) be the first derivative of g(o). Factor w(n).
-(n + 1)**2
Let t(k) = -3*k**3 + k**3 - k**3. Let g(r) = -3*r**3. Let n(i) = -2*g(i) + 3*t(i). Find v, given that n(v) = 0.
0
Determine y so that 18/7 + 2/7*y**2 + 12/7*y = 0.
-3
Let d = -8956/7 + 1282. Let h = 2538/7 - 362. Factor h + d*g**2 + 22/7*g.
2*(g + 1)*(9*g + 2)/7
Let -18/7*c**3 + 4/7*c**2 + 0 + 0*c + 2*c**4 = 0. What is c?
0, 2/7, 1
Let n be (1 + -1)/(-3 - -2). Factor 1/4*r + n + 1/4*r**2.
r*(r + 1)/4
Let s(m) = -m**3 - 2*m**2 - 3*m - 3. Let a be s(-2). Suppose 3*r + 0*r = 3*f + 30, -3*r - 2*f = -15. Factor -5*w + 3*w - r*w**5 - 2*w**3 + 8*w**5 + a*w.
w*(w - 1)**2*(w + 1)**2
Let g be 0/(1 + (-8)/(-4) - 2). Let n(y) be the second derivative of g*y**2 + 2*y + 1/168*y**7 + 0*y**4 + 0*y**5 - 1/120*y**6 + 0*y**3 + 0. Factor n(i).
i**4*(i - 1)/4
What is w in -1/3 + 2/3*w**2 - 1/3*w = 0?
-1/2, 1
Let v(r) be the second derivative of r**4/4 - 5*r**3 + 75*r**2/2 - 44*r. Factor v(p).
3*(p - 5)**2
Let i(r) = -r**3 + 7*r**2 - 3*r + 5. Let y be i(7). Let h be ((-5)/4)/(4/y). Factor -3*c - 3*c + h*c - c**2.
-c*(c + 1)
Let a(c) be the second derivative of c**2 + c + 1/120*c**6 + 1/12*c**4 + 0*c**3 + 0 + 1/20*c**5. Let o(i) be the first derivative of a(i). Solve o(d) = 0.
-2, -1, 0
Let k(d) = 1. Let c(j) = 2. Let z(s) = -c(s) + 3*k(s). Let g(i) = i**3 + i**2 - 9. Let t(p) = -2*g(p) - 18*z(p). Factor t(a).
-2*a**2*(a + 1)
Suppose 7*r = 2*r - 20. Let n = r - -6. Determine p, given that 2*p**2 + 0*p**n + 2 + p - 5*p = 0.
1
Suppose o + 2*o + 79 = 4*v, -5*v - 22 = 2*o. Let l(d) = 15*d**3 + 60*d**2 + 81*d. Let x(g) = -3*g**3 - 12*g**2 - 16*g. Let p(h) = o*x(h) - 4*l(h). Factor p(u).
3*u*(u + 2)**2
Let v(u) be the first derivative of u**9/10584 - u**8/5880 - 4*u**3/3 + 3. Let r(n) be the third derivative of v(n). Factor r(f).
2*f**4*(f - 1)/7
Let d(a) = 4*a + 90. Let p be d(-22). Let 2/3 - 2/3*i + 1/6*i**p = 0. Calculate i.
2
Determine a, given that 5*a**3 + 199*a - 30 - 144*a - 2*a**3 - 30*a**2 + 2*a**3 = 0.
1, 2, 3
Suppose 5*t + 5*t = 5*t. Factor -2/5*y**3 + 0*y + 2/5*y**2 + t.
-2*y**2*(y - 1)/5
Let s(y) = -2 + 2*y + 0 + 0*y. Let l be s(2). Factor 4*j**4 - 6*j**3 - 2*j - 4*j**4 + 2*j**l + 4*j**2 + 2*j**4.
2*j*(j - 1)**3
Let o be 288/756 - 4/(-14). Solve -4/9*x**2 - 2/9*x**5 + 4/9 + 8/9*x**3 + 0*x**4 - o*x = 0.
-2, -1, 1
Suppose -2*q = -17 - 43. Let v be 6/q + 1/(-5). Factor 0*m**2 - 10/7*m**5 - 4/7*m**3 + 0*m + 2*m**4 + v.
-2*m**3*(m - 1)*(5*m - 2)/7
Let d(j) be the third derivative of -j**6/660 - 7*j**5/330 + 2*j**4/33 + j**2 - 9*j. Factor d(o).
-2*o*(o - 1)*(o + 8)/11
Let b(d) = d**3 + d. Let t(p) = 6*p**3 - 2*p**2. Let q(i) = -4*b(i) + t(i). Suppose q(j) = 0. Calculate j.
-1, 0, 2
Find m such that 4/5*m**2 + 28/5 + 32/5*m = 0.
-7, -1
Factor 0 + 3/4*t**4 - 3/2*t**3 + 3/4*t**2 + 0*t.
3*t**2*(t - 1)**2/4
Let f(j) be the second derivative of 1/12*j**4 - 1/3*j**3 + 0 + 0*j**2 - 3*j. Factor f(g).
g*(g - 2)
Let w(a) = -a + 48*a**2 + 4*a + a**3 - 4*a - 47*a**2. Let y(g) = -12*g**3 - 63*g**2 - 72*g - 18. Let m(f) = -3*w(f) + y(f). Factor m(c).
-3*(c + 1)*(c + 3)*(5*c + 2)
Let l(u) be the second derivative of -u**4/24 - u**3/12 + 11*u. What is a in l(a) = 0?
-1, 0
Let g(q) be the third derivative of -q**8/210 + 2*q**7/525 - 8*q**2. Factor g(s).
-4*s**4*(2*s - 1)/5
Suppose s - 9 = -3*o, 0 = -4*o - s - 8 + 19. Let z(d) be the third derivative of 1/6*d**3 + 0 - 1/12*d**4 + 4*d**o + 1/60*d**5 + 0*d. Solve z(b) = 0.
1
Factor 0*w**2 - 3*w**4 + 4 + 7*w + 2*w**3 + 8*w**4 - 3*w - 15*w**2.
(w - 1)**2*(w + 2)*(5*w + 2)
Let i(u) be the first derivative of -u**3/6 + u**2/4 + 4. What is x in i(x) = 0?
0, 1
Let r(i) be the third derivative of i**5/120 + i**4/8 + 3*i**3/4 - 13*i**2. Find w, given that r(w) = 0.
-3
Suppose 4*w - g + 2*g = 11, -w - 4*g - 1 = 0. Factor -1/6*j**5 + 5/6*j**2 - 1/6*j**4 + 1/3*j + 1/2*j**w + 0.
-j*(j - 2)*(j + 1)**3/6
Let g be 1*(-2)/2*-3. Factor -2 - 4 - g*s**3 + s + 5*s**2 + 2*s + s**2.
-3*(s - 2)*(s - 1)*(s + 1)
Let g(r) be the first derivative of 16*r**6/5 - 48*r**5/5 + 99*r**4/10 - 4*r**3 + 3*r**2/5 + 14. Factor g(a).
6*a*(a - 1)**2*(4*a - 1)**2/5
Let a = 30 - 28. Let w(l) be the first derivative of 2/3*l - a - 2/9*l**3 - 1/4*l**4 + 1/2*l**2. Factor w(m).
-(m - 1)*(m + 1)*(3*m + 2)/3
Let r(x) be the second derivative of -3*x + 0*x**4 + 2/15*x**6 + 0 - 1/7*x**7 + 0*x**3 + 0*x**2 + 1/10*x**5. Factor r(y).
-2*y**3*(y - 1)*(3*y + 1)
Factor 2/3*f - 1/3*f**2 + 0.
-f*(f - 2)/3
Let v be ((-1)/9*2)/(10/(-15)). Let h = 16/3 + -5. Factor -v*p**2 + 0 - h*p.
-p*(p + 1)/3
Let x be 0/(((-12)/(-3))/(-2)). Let h be -2*(x - -1)*-1. Determine o so that -2*o**2 + 1 + h*o - 1 = 0.
0, 1
Let t = 9 + -7. Let f(m) = 2*m**3 - 4*m**2 + 3*m - 1. Let h be f(t). Determine r so that 3*r**5 - 4*r**2 + 1 - 2*r**3 + 0*r**2 + h*r**4 - 2*r**2 - r = 0.
-1, 1/3, 1
Let y(i) be the first derivative of i**8/112 + i**7/35 - i**5/10 - i**4/8 - 3*i**2/2 + 3. Let u(k) be the second derivative of y(k). Factor u(p).
3*p*(p - 1)*(p + 1)**3
Factor -1 + 1/3*w + 2/3*w**2.
(w - 1)*(2*w + 3)/3
Let n(d) be the third derivative of d**5/60 + 2*d**3/3 - d**2. Let a be n(3). Suppose -8*l**5 - 2*l + 9*l**3 - 36*l**3 + 23*l**4 + a*l**2 + l**5 = 0. What is l?
0, 2/7, 1
Let k(l) = -2*l**2 - 13*l - 20. Let b(c) = 4*c**2 + 40*c + 60. Let t(v) = -3*b(v) - 8*k(v). Determine s, given that t(s) = 0.
-1, 5
Factor 3/5*y**2 + 4/5*y - 2/5*y**3 - 1/5*y**4 - 4/5.
-(y - 1)**2*(y + 2)**2/5
Let x(s) = -2*s**3 + 6*s**2 - 6*s + 14. Let u(i) = -i**3 + i**2 + i + 1. Let j(h) = 6*u(h) - x(h). Factor j(z).
-4*(z - 1)**2*(z + 2)
Let w(y) be the second derivative of -y**4/3 - 2*y**3/3 + 21*y. Factor w(n).
-4*n*(n + 1)
Let z(b) be the first derivative of 2*b**3/39 - 7*b**2/13 + 12*b/13 + 29. Solve z(c) = 0.
1, 6
Let g = -11 - -11. Suppose 3*k - 7*k = g. Suppose -4/3*t**2 - 2/3*t**3 - 2/3*t + k = 0. Calculate t.
-1, 0
Let b(g) be the first derivative of -g**6/120 + g**4/8 - 2*g**3/3 - 5. Let k(l) be the third derivative of b(l). Find f, given that k(f) = 0.
-1, 1
Let j = 45 + -107. Let s = j - -318/5. Determine n, given that 2/5*n**2 - 8/5*n + s = 0.
2
Factor -a**3 - 52*a**2 + 2*a + 25*a**2 + 28*a**2.
-a*(a - 2)*(a + 1)
Suppose 0 = -5*s + 2*h + 12, -4 = -2*s - h - 1. Find k such that k**s + 12*k + 2*k + 5*k**2 + 7*k - 6 - 21*k**3 = 0.
-1, 2/7, 1
Suppose k - 3*a - 9 + 1 = 0, k = -5*a. What is h in -12*h**2 - 5*h + 3*h**3 + k*h + 12*h = 0?
0, 2
Let l(v) = -2*v**4 - 13*v**3 + 2*v**2 - v - 7. Let k(c) = -c**4 - 4*c**3 + c**2 - 2. Suppose 3 = -4*g - 5. Let q(x) = g*l(x) + 7*k(x). Factor q(b).
-b*(b - 1)*(b + 1)*(3*b + 2)
Let n(t) = 2 - 2*t + 0 + 2 + 3*t. Let d be n(-4). Factor -2/7*b**3 + d*b + 2/7*b**2 - 2/7*b**4 + 0 + 2/7*b**5.
2*b**2*(b - 1)**2*(b + 1)/7
Let r(k) be the first derivative of 3*k**4/20 + 2*k**3/15 + 5. Solve r(i) = 0 for i.
-2/3, 0
Let r(f) = 4*f + 7*f**2 + 8*f**2 + 4*f**2 + 1. Let h(z) = -z**2 - z. Let k(j) = -6*h(j) + r(j). Factor k(o).
(5