he third derivative of -d**6/120 - d**5/20 - d**4/8 - d**3/6 + 7*d**2. Factor t(p).
-(p + 1)**3
Let p(x) be the second derivative of -1/6*x**4 + 9*x + 1/6*x**3 + 1/20*x**5 + 0 + 0*x**2. What is i in p(i) = 0?
0, 1
Let r(o) = -o + 1. Let l(h) = 4*h**2 - 16*h + 20. Let v(m) = l(m) - 20*r(m). Solve v(p) = 0 for p.
-1, 0
Let j be ((-2)/3)/(8/(-24)). Suppose k + m + 10 = -m, -4*m = -j*k + 20. Factor 10*q**4 + k + 0*q + 8/5*q**2 - 8*q**3.
2*q**2*(5*q - 2)**2/5
Let r(k) be the third derivative of k**5/120 + 7*k**4/48 - 2*k**3/3 + 31*k**2. Factor r(u).
(u - 1)*(u + 8)/2
Let d(z) = -z**3. Let c(h) = -69*h**3 + 75*h**2 + 6*h - 9. Let i(n) = c(n) + 3*d(n). Factor i(t).
-3*(t - 1)*(3*t + 1)*(8*t - 3)
Let k be (2 - 4) + (-95)/(-5). Let m = k - 15. Factor -v - 1/3*v**3 - v**m - 1/3.
-(v + 1)**3/3
Let z(t) be the first derivative of t**6/24 - t**5/5 + 3*t**4/8 - t**3/3 + t**2/2 - 3. Let q(f) be the second derivative of z(f). Solve q(u) = 0.
2/5, 1
Suppose 2*y - 6 = -0*y. Factor 10*z**4 - z**3 + 2*z - 9*z**3 + y*z**2 - 4*z**4 - z**2.
2*z*(z - 1)**2*(3*z + 1)
Let f be (-4 + -2)/(4/(-2)). Suppose -1 + 4*s**2 - 2*s + 3*s**f + 1 - 5*s**3 = 0. What is s?
0, 1
Let z(t) be the second derivative of 0 + 8/45*t**6 + 1/5*t**5 + 0*t**2 - 1/9*t**4 - t + 0*t**3. Factor z(m).
4*m**2*(m + 1)*(4*m - 1)/3
Let g(z) be the first derivative of -z**6/15 + 7*z**5/10 - 5*z**4/2 + 3*z**3 - 5*z - 2. Let v(y) be the first derivative of g(y). Suppose v(o) = 0. What is o?
0, 1, 3
Let k(w) be the third derivative of w**7/2520 + w**6/360 + w**4/24 + 3*w**2. Let x(r) be the second derivative of k(r). Factor x(m).
m*(m + 2)
Let i(d) be the first derivative of d**8/840 - d**7/210 + d**5/30 - d**4/12 + 5*d**3/3 + 3. Let z(a) be the third derivative of i(a). Factor z(o).
2*(o - 1)**3*(o + 1)
Let z(a) be the first derivative of 0*a + 2*a**2 + 6 - 2/3*a**3. Factor z(d).
-2*d*(d - 2)
Let w(u) be the third derivative of -u**9/7560 - u**8/6720 + u**7/1260 + u**6/720 - u**4/8 + 3*u**2. Let m(n) be the second derivative of w(n). Factor m(z).
-z*(z - 1)*(z + 1)*(2*z + 1)
Let u = -4 - -6. What is h in h + 1/2*h**3 - 3/2*h**u + 0 = 0?
0, 1, 2
Let c(v) be the third derivative of -v**7/70 - v**6/120 + 3*v**5/20 - v**4/8 - v**3/3 - 7*v**2. Suppose c(a) = 0. Calculate a.
-2, -1/3, 1
Suppose -4*q - 3*p = 6, -6*q + 9*q = 3*p + 6. Let s(f) be the second derivative of q*f**2 + 0 + 1/6*f**4 - 3*f + 1/10*f**5 + 0*f**3. What is d in s(d) = 0?
-1, 0
Let h(x) = -x**2 - 8*x + 9. Let t be h(-9). Let k(o) be the first derivative of t*o**2 + 1 + 2/21*o**3 + 0*o. Determine q, given that k(q) = 0.
0
Let r(p) be the third derivative of p**7/1260 - p**6/540 - p**5/90 + p**3/2 - 3*p**2. Let x(f) be the first derivative of r(f). Factor x(j).
2*j*(j - 2)*(j + 1)/3
Let s(g) be the first derivative of 3*g**5/10 + 3*g**4/16 + 3. Factor s(a).
3*a**3*(2*a + 1)/4
Let i = 3 - 11. Let j = 14 + i. Let h(x) = x**3 - x**2 + x + 1. Let a(l) = 4*l**3 - 16*l**2 - 10*l - 2. Let d(k) = j*h(k) - a(k). Factor d(r).
2*(r + 1)*(r + 2)**2
Let q(a) = 7*a**2 + 3*a + 6. Let v be (-48)/(-36) + 4/6. Let f(n) = 0*n + 1 - n - v - n**2. Let h(z) = 6*f(z) + q(z). Factor h(c).
c*(c - 3)
Let l be (-4)/(-30)*(-5)/(-4). Let o(i) be the first derivative of 1/2*i**4 - l*i**6 + 1 - 4/3*i**3 - 1/2*i**2 + 2*i + 2/5*i**5. Suppose o(r) = 0. What is r?
-1, 1, 2
Let n(q) be the first derivative of 1/5*q**2 + 2/15*q**3 + 0*q + 8. Suppose n(j) = 0. What is j?
-1, 0
Suppose 0 + 1/3*q**2 - q = 0. Calculate q.
0, 3
Let g be (-2 - -2)/(-2 + 3). Suppose 3*x - 10 = -5*t, 0 = -t - x - g*x + 2. Factor 2/3*a + 4/3 - 2/3*a**t.
-2*(a - 2)*(a + 1)/3
Let s(n) = n - 1. Let p(h) = -h - 7. Let w be p(-6). Let g(y) = 3*y**3 - 9*y**2 + 15*y - 9. Let v(j) = w*g(j) + 6*s(j). Factor v(r).
-3*(r - 1)**3
Let v(i) be the second derivative of -i**6/10 + 9*i**5/20 - i**4/2 - 7*i. Factor v(n).
-3*n**2*(n - 2)*(n - 1)
Let d(v) be the second derivative of 5*v**7/42 - v**6/2 + 3*v**5/4 - 5*v**4/12 - 16*v. Factor d(u).
5*u**2*(u - 1)**3
Suppose 1/2 - 9/4*g**2 - 7/4*g = 0. Calculate g.
-1, 2/9
Let w(y) be the third derivative of y**7/2520 - y**6/360 + y**5/120 - y**4/72 + y**3/3 + 3*y**2. Let q(d) be the first derivative of w(d). Solve q(l) = 0.
1
Suppose -5*c - 6 = -21. Determine u, given that -2 + 10*u**c - 2*u**2 + 2*u**4 - 11 - 2*u**5 - 16*u + 5 = 0.
-1, 2
Let b be (-12)/84 - (-104)/140. Factor 0*p + 3/5*p**3 + 0 + b*p**2.
3*p**2*(p + 1)/5
Let f be (-4)/(2 + -3 + 0). Factor -f*k**4 - 2*k**5 + 4*k**2 + 4*k**5 - k**3 + k**3 - 2*k.
2*k*(k - 1)**3*(k + 1)
Suppose g + 2 = 3. Let u(v) be the first derivative of -8*v + g - 10/3*v**3 - 8*v**2 - 1/2*v**4. What is i in u(i) = 0?
-2, -1
Let v(u) be the first derivative of -u**4/8 + u**3/2 - u**2/2 - 41. Determine o, given that v(o) = 0.
0, 1, 2
Let r(b) be the third derivative of -1/240*b**5 + 0*b**3 + 0*b**4 - 4*b**2 - 1/480*b**6 + 0 + 0*b. Factor r(h).
-h**2*(h + 1)/4
Let b(c) be the second derivative of 3/20*c**5 + 1/6*c**3 - c**2 + 0 + 1/4*c**4 - 2*c. Let z(a) be the first derivative of b(a). What is d in z(d) = 0?
-1/3
Let r(x) = x - 1. Let d(j) = -j**2 - 6*j + 8. Let t(k) = 5*d(k) + 40*r(k). Factor t(s).
-5*s*(s - 2)
Let y(b) be the third derivative of -b**7/1260 - b**6/540 - b**3/2 - 3*b**2. Let t(v) be the first derivative of y(v). Factor t(f).
-2*f**2*(f + 1)/3
Let w(y) be the third derivative of 0*y - y**2 - 1/40*y**5 - 1/160*y**6 + 1/32*y**4 + 0 + 1/4*y**3. Factor w(p).
-3*(p - 1)*(p + 1)*(p + 2)/4
Let p = -9 - -14. Suppose 4*b - 8 = -3*j, 1 - 9 = 3*j - 4*b. Factor -2*v**4 + 10*v**3 + j*v**4 - v**p - 11*v**3.
-v**3*(v + 1)**2
Let t be (-12)/(-8) - 2/(-4). Suppose x = -t*x + 9. Find d such that 0*d**4 + 1/4*d**5 + 0 + 0*d**x + 0*d + 0*d**2 = 0.
0
Let g(f) be the second derivative of 32*f**5/45 - 8*f**4/3 + 4*f**3 - 3*f**2 - 14*f. Factor g(a).
2*(4*a - 3)**3/9
Let f(q) be the first derivative of -3*q**5/20 + 3*q**4/4 - 3*q**3/2 + 3*q**2/2 + 3*q + 2. Let z(l) be the first derivative of f(l). Factor z(s).
-3*(s - 1)**3
Let m(i) be the second derivative of -1/21*i**7 + 4*i + 0*i**3 + 1/25*i**5 + 0 - 1/25*i**6 + 0*i**4 + 0*i**2. Factor m(h).
-2*h**3*(h + 1)*(5*h - 2)/5
Suppose -5*a - 2 = -4*y + y, -5*a + 6 = -y. Let m = 73 + -71. Factor -6*u**y + u**2 - 2*u**4 - m*u**3 + 0*u**4.
-u**2*(2*u + 1)*(4*u - 1)
Let c(q) be the second derivative of 0 + 0*q**2 + 1/30*q**5 + 0*q**3 - 2*q + 0*q**4. Let c(w) = 0. Calculate w.
0
Suppose -5*f + 25 = -0*f - 5*t, -1 = f + t. Suppose f*p - 6 = 3*w, -2 = -2*p + 2*w + 4. Let -7*a**4 + a**p - a**2 + 4*a**3 + 3*a**2 = 0. What is a?
-2/7, 0, 1
Let p(f) be the first derivative of f**3/7 + 3*f**2/7 + 8. Factor p(z).
3*z*(z + 2)/7
Suppose 0*r - 5*r = 200. Let m be 27/36 - (-22)/r. Solve -3/5*t**2 - 3/5*t - 1/5*t**3 - m = 0.
-1
Let i(r) = -r**5 + r**3 - r**2 - r - 1. Let g(b) = -6*b**5 - 12*b**4 - 6*b**3 - 2*b**2 - 2*b - 2. Let s(d) = g(d) - 2*i(d). Let s(m) = 0. Calculate m.
-2, -1, 0
Let t(m) be the second derivative of 3/20*m**5 - 1/4*m**4 + 0 + 3/2*m**2 - 1/2*m**3 + 6*m. Find p, given that t(p) = 0.
-1, 1
Determine b, given that -8*b**3 + 6*b**2 - 4*b**4 - 4 + 15 + 40*b + 5*b**4 + 14 = 0.
-1, 5
Let v be (-1)/(((-8)/(-3))/(-8)). Factor -2/5*r**v + 2/5*r + 0 + 0*r**2.
-2*r*(r - 1)*(r + 1)/5
Factor -2/13*n**3 - 4/13*n + 6/13*n**2 + 0.
-2*n*(n - 2)*(n - 1)/13
Let g(o) be the third derivative of 0 + 0*o**3 + 0*o**4 + 1/30*o**5 + 0*o + 3*o**2. Solve g(v) = 0.
0
Let s(c) be the second derivative of c**4/4 - 7*c**3/4 - 3*c**2 + 2*c - 4. Factor s(b).
3*(b - 4)*(2*b + 1)/2
Let l(z) = 5*z**2 + 10*z - 3 - 8*z - 7*z. Let d(v) = 14*v**2 - 14*v - 8. Suppose -2*i - 15 = -7*i. Let f(g) = i*d(g) - 8*l(g). Find w, given that f(w) = 0.
0, 1
Let j(p) be the second derivative of -5/24*p**3 + 1/60*p**6 + 1/8*p**2 - 7/80*p**5 + 3/16*p**4 + 3*p + 0. Factor j(z).
(z - 1)**3*(2*z - 1)/4
Suppose 3 = 19*o + 3. Solve 0*g + o*g**2 + 1/4*g**3 + 0 = 0.
0
Let m(l) = 28*l**4 - 64*l**3 + 44*l**2 - 8*l + 16. Let w(f) = -9*f**4 + 21*f**3 - 15*f**2 + 3*f - 5. Let y(x) = -5*m(x) - 16*w(x). Find j, given that y(j) = 0.
0, 1, 2
Let r be 1 + ((-80)/(-120))/((-2)/(-5)). Determine s, given that -8/3*s**2 - r*s - 2/3 = 0.
-1/2
Let m(g) be the first derivative of g**3/4 - g**2/2 + g/4 + 3. Factor m(h).
(h - 1)*(3*h - 1)/4
Let q be -3*(-6 - 1316/(-231)). Factor -2/11*x