Find g, given that -14*g**2 - 10*g**3 - 1 - 20*g + 15*g + 4*g**2 - 5*g**4 - g**5 = 0.
-1
Let c(h) be the second derivative of -h**5/160 - h**4/24 - h**3/16 - 4*h. Factor c(i).
-i*(i + 1)*(i + 3)/8
Let s(z) = z**3 - 9*z**2 - 6*z + 1. Let t(m) = 8*m**2 + 6*m. Suppose 0 = -g - 0*g + 3. Let x(c) = g*t(c) + 2*s(c). Factor x(r).
2*(r + 1)**3
Let t be 3/((-12)/(-4))*2. Factor 4*p**t - 1 - 2*p**2 - 1.
2*(p - 1)*(p + 1)
Let j(g) = -37*g**2 + 5*g + 3. Let x(t) = 74*t**2 - 10*t - 5. Let o(n) = 5*j(n) + 3*x(n). Let c(v) = 6*v**2 - v. Let f(r) = -34*c(r) + 6*o(r). Factor f(s).
2*s*(9*s + 2)
Suppose 0 = -2*p - 0 + 4. Suppose -3*h**2 - 2*h + 5*h**2 + 2*h**2 - p*h**3 = 0. What is h?
0, 1
Let n = 137 + -682/5. Factor 3/5 + 0*i - n*i**2.
-3*(i - 1)*(i + 1)/5
Find z, given that -6/7*z**2 - 1/7*z**4 - 4/7*z**3 - 4/7*z - 1/7 = 0.
-1
Let z(u) = -3*u**4 - 5*u**3 + u**2 + 5*u + 7. Suppose 4*w + 10 = 2. Let x(i) = i**4 + 2*i**3 - 2*i - 3. Let t(k) = w*z(k) - 5*x(k). What is s in t(s) = 0?
-1, 1
Let s(w) be the first derivative of -1/15*w**5 + 2/9*w**3 + 1/6*w**4 + 9 - 1/6*w**2 - 1/3*w - 1/18*w**6. Let s(r) = 0. Calculate r.
-1, 1
Let c(a) be the second derivative of -a**7/840 + a**6/80 + a**4/12 - 3*a. Let o(s) be the third derivative of c(s). Solve o(p) = 0 for p.
0, 3
Let h be -1 + 2 + (5 - 3). Let v(s) be the third derivative of 0*s + 0 + 1/9*s**h + 0*s**4 - 1/90*s**5 + s**2. Let v(d) = 0. Calculate d.
-1, 1
Let s(h) be the first derivative of 2*h**5/55 - h**4/22 - 2*h**3/33 + h**2/11 - 3. Determine t, given that s(t) = 0.
-1, 0, 1
Let s(a) = -a**3 + a**2 - a - 1. Let k(u) = -2*u**4 + 5*u**3 - 9*u**2 + 5*u - 5. Let g(m) = -k(m) + 3*s(m). Factor g(n).
2*(n - 1)**4
Let g be (-1)/((-2)/4 - (-12)/48). Let y(k) be the first derivative of k**2 + 4 + 2/3*k**3 - g*k. Solve y(v) = 0 for v.
-2, 1
Factor 5 - 6*c**2 + 16*c**2 - 20*c + 5*c**2.
5*(c - 1)*(3*c - 1)
Let k(o) = 44*o**3 - 72*o**2 + 27*o - 4. Let f be 5/(-2)*8/(-5). Let d(n) = 45*n**3 - 73*n**2 + 28*n - 4. Let b(y) = f*k(y) - 5*d(y). Factor b(p).
-(p - 1)*(7*p - 2)**2
Let z be 244/(-30) - (-4)/30. Let x(f) = -f**2 - 9*f - 8. Let w be x(z). Let -1/3*h**2 + 0*h + w = 0. What is h?
0
Let n(b) be the second derivative of b**4/12 - 2*b**3/3 + 3*b**2/2 + 57*b. Solve n(a) = 0 for a.
1, 3
Let z(a) be the second derivative of -a**5/40 + a**4/72 + a**3/12 - a**2/12 - 15*a. Suppose z(m) = 0. Calculate m.
-1, 1/3, 1
Let f(z) be the third derivative of -z**10/30240 + z**8/3360 - z**6/720 - z**4/4 + 2*z**2. Let w(h) be the second derivative of f(h). Find b such that w(b) = 0.
-1, 0, 1
Suppose 6*m = -0 - 30. Let r be 5/6 - m/(-30). Factor 1/3 - r*p**2 - 1/3*p.
-(p + 1)*(2*p - 1)/3
Let p be -3 + 10*(-2)/(-4). Let z be (0/(-4))/((-2)/p). Factor z - 2/11*g**2 + 0*g.
-2*g**2/11
Let s(m) be the first derivative of 2*m**5/65 - m**4/13 - 2*m**3/39 + 2*m**2/13 - 32. Determine y, given that s(y) = 0.
-1, 0, 1, 2
Let i(r) be the second derivative of -r**4/12 - 2*r. Factor i(f).
-f**2
Let q(w) be the second derivative of -w**7/105 + 2*w**6/25 - 13*w**5/50 + 2*w**4/5 - 4*w**3/15 + 11*w. Factor q(z).
-2*z*(z - 2)**2*(z - 1)**2/5
Let z(o) = -o**4 - o**2 - o + 1. Let x(j) = j**5 + 10*j**4 + 43*j**3 + 72*j**2 + 55*j + 17. Let b(l) = -3*x(l) + 3*z(l). Let b(r) = 0. Calculate r.
-4, -1
Let s(w) = w**2 - 3*w + 2. Let l be s(3). Suppose 4*h = -4*u - 8, -12*u = -4*h - 13*u + 7. Factor 4/9*p**l - 2/9*p**h + 0 + 0*p - 2/9*p**4.
-2*p**2*(p - 1)*(p + 2)/9
Let d(x) = 10*x**3 + 30*x**2 - 14*x. Let t(p) = -2*p**3 - 6*p**2 + 3*p. Let c(n) = -3*d(n) - 14*t(n). Let c(i) = 0. What is i?
-3, 0
Let c(t) be the second derivative of -t**3 + 3/10*t**5 + 4/15*t**6 + 0 - 5/6*t**4 + t**2 + 2*t. Solve c(p) = 0 for p.
-1, 1/4, 1
Let d be (3 - (-117)/(-40))*(-2)/(-3). Let s(b) be the first derivative of -1/4*b**3 - 3/16*b**4 - d*b**5 + 0*b - 2 - 1/8*b**2. Factor s(f).
-f*(f + 1)**3/4
Let m = -391 + 1961/5. Let t = 17/10 - m. Determine i so that -1/2*i + i**3 - i**2 + 1/2*i**4 + t - 1/2*i**5 = 0.
-1, 1
Let w(y) = -y**3 - 3*y**2 + 3. Let d be w(-3). Factor 3*i - d*i + 5*i**2 + 2*i - 4*i.
i*(5*i - 2)
Let j(m) = -m**3 - 7*m**2 + 14*m - 9. Let f(g) = g**3 - g**2 + 1. Let o(c) = 6*f(c) + 2*j(c). Factor o(s).
4*(s - 3)*(s - 1)**2
Let h = -851/2 - -427. Find k, given that h*k**2 - 7/6*k**3 - 1/3*k + 0 = 0.
0, 2/7, 1
Let d(v) = -v**2 - 2*v - 3. Let n be d(-3). Let u = 6 + n. Solve 0 + u*r + 1/4*r**3 + 0*r**2 = 0 for r.
0
Factor 1029*r**2 - 1029*r**2 + 2*r**3 + 8*r**5 - 10*r**4.
2*r**3*(r - 1)*(4*r - 1)
Let v(p) be the second derivative of -p**10/10080 + p**9/4320 - p**8/6720 + 3*p**4/4 - 4*p. Let d(j) be the third derivative of v(j). Factor d(l).
-l**3*(2*l - 1)*(3*l - 2)/2
Let x = 43/15 + -11/5. Factor 1/3*m - x + 1/3*m**2.
(m - 1)*(m + 2)/3
Factor -3 + u**4 + 5*u + 5*u**2 + 0*u**2 - 6*u**3 - 3*u**2 + 5*u**5 - 4*u**5.
(u - 1)**3*(u + 1)*(u + 3)
Let a(w) be the first derivative of 1/600*w**6 + 1/120*w**4 + 0*w**3 - 3 - 1/2*w**2 + 1/150*w**5 + 0*w. Let v(f) be the second derivative of a(f). Factor v(l).
l*(l + 1)**2/5
Let z = -19 + 21. Let -3 - 4*k**z + 12 - 3*k - k - 1 = 0. What is k?
-2, 1
Let a(h) be the first derivative of 1/20*h**5 - 1/6*h**3 + 1/2*h**2 - 1/12*h**4 + 2 + h. Let c(r) be the first derivative of a(r). Let c(l) = 0. What is l?
-1, 1
Let l(h) be the third derivative of -h**8/2520 + h**7/1260 + 5*h**3/6 - h**2. Let w(v) be the first derivative of l(v). Solve w(t) = 0 for t.
0, 1
Let q(s) be the second derivative of 0*s**5 - 1/2*s**3 - 1/84*s**4 + 0*s**2 + 1/1260*s**6 - s + 0. Let l(m) be the second derivative of q(m). Factor l(a).
2*(a - 1)*(a + 1)/7
Let f(g) = -7*g**4 - 9*g**3 - 16*g**2 + 27*g + 5. Let b(s) = 6*s**4 + 10*s**3 + 16*s**2 - 28*s - 4. Let o(u) = 5*b(u) + 4*f(u). Factor o(d).
2*d*(d - 1)*(d + 4)**2
Suppose -5*z = -3*z. Let k(j) be the third derivative of 0*j**3 + 0*j**5 + 0*j + 2*j**2 + z*j**4 + 0 - 1/60*j**6 + 1/105*j**7. Factor k(f).
2*f**3*(f - 1)
Factor 4/3*a**2 + 8*a + 12.
4*(a + 3)**2/3
Let h(r) = 3*r**2 - 6*r - 5. Let a(k) = k**2 - k - 1. Let m(j) = -20*a(j) + 5*h(j). Factor m(y).
-5*(y + 1)**2
Let a(z) be the first derivative of -2*z**3/15 + 6*z**2/5 - 2*z + 21. Find f such that a(f) = 0.
1, 5
Let j(y) be the first derivative of -y**4/36 + 2*y**3/27 - y**2/18 - 32. Solve j(x) = 0.
0, 1
Let y(k) = k**3 - 1 + 4*k - 3*k - 3*k. Let a be y(2). Factor 2*p**3 - 3*p**4 + p**5 + p**2 + 6 + p**2 - 5 - a*p.
(p - 1)**4*(p + 1)
Let a be (-6)/(-4) + (-189)/(-42) - 3. Factor 0 - 4/3*k**a - 2/3*k**2 + 0*k - 2/3*k**4.
-2*k**2*(k + 1)**2/3
Let j(d) = 4*d**3 + 3*d - 2. Let g be j(1). Let s(r) be the second derivative of -1/10*r**g + 1/3*r**3 + 4*r + 0 - r**2 + 1/6*r**4. Let s(i) = 0. What is i?
-1, 1
Let p(b) be the third derivative of -b**6/360 + b**5/120 + b**4/12 + 5*b**3/6 - 3*b**2. Let d(a) be the first derivative of p(a). Let d(l) = 0. Calculate l.
-1, 2
Suppose 0 = -3*p + b - 2, -p + 3*b + 0 = 6. Let g(q) be the second derivative of p*q**2 - 1/18*q**3 + 0 + 0*q**4 + 1/60*q**5 + q. Factor g(o).
o*(o - 1)*(o + 1)/3
Suppose -3*h = 2*m - 6, 5*m + 0 - 8 = -4*h. Let i be ((32/140)/4)/(2/10). Find g, given that -2/7*g + i*g**4 + 0 - 2/7*g**h + 2/7*g**3 = 0.
-1, 0, 1
Let v = 30 - 59/2. Let a be 3 + 4/8*-6. Factor 1/2*j + a*j**2 - v*j**3 + 1/4 - 1/4*j**4.
-(j - 1)*(j + 1)**3/4
Suppose -2*p + 26 - 102 = 4*o, 3*p + 76 = -4*o. Let q = o - -23. Factor 38/9*x**3 + 2/9*x**5 + 32/9*x - 8/9 - 50/9*x**2 - 14/9*x**q.
2*(x - 2)**2*(x - 1)**3/9
Let l(r) = -r + 1. Let o be l(-9). Let m be ((-4)/o)/(60/(-50)). Find f such that -m + 1/3*f**2 + 0*f = 0.
-1, 1
Suppose -4 + 2*z - 3*z**2 + 3*z**2 - 2*z**3 + 4*z = 0. Calculate z.
-2, 1
Let m(g) be the second derivative of -1/24*g**4 + 1/12*g**3 + 4*g + 0 + 1/2*g**2. Find u such that m(u) = 0.
-1, 2
Let s(c) be the first derivative of 2/45*c**5 + 0*c - 3 + 4/9*c**2 + 16/27*c**3 + 5/18*c**4. Solve s(g) = 0.
-2, -1, 0
Let f be (-6)/(-27) - 32/(-18). Let h(m) be the first derivative of 4*m**f + 8*m + 4 + 2/3*m**3. Factor h(k).
2*(k + 2)**2
Factor -3*j**2 + 0*j**2 - 10*j - 12 - 2*j.
-3*(j + 2)**2
Let b = 1 - 5. Let v be (-1 + b)/(5/(-5)). Factor -v*h**2 + 3*h**2 - 3*h**2 + 2*h + 3*h**3.
h*(h - 1)*(3*h - 2)
Determine l, given that 0 - 6/11*l + 2/11*l**2 = 0.
0, 3
Solve 2/9*m**3 + 2/9*m**2 - 2/9 - 2/9*m = 0 for m.
-1, 1
Factor 2*j**2 + 4*j