. Factor 3*p**5 + 0*p**4 - 2*p**c - p**5 + 0*p**4.
2*p**4*(p - 1)
Let y(v) be the second derivative of v**9/105840 + v**8/23520 - v**6/2520 - v**5/840 + v**4/2 + 6*v. Let n(w) be the third derivative of y(w). Factor n(s).
(s - 1)*(s + 1)**3/7
Factor 0 + 0*k + 4/11*k**3 - 2/11*k**4 - 2/11*k**2.
-2*k**2*(k - 1)**2/11
Let n = -85/39 - -7/3. Factor 0*f**2 - n*f + 0 + 2/13*f**3.
2*f*(f - 1)*(f + 1)/13
Suppose 3*w = 2*w + 5. Let x be ((-8)/w)/4*-1. Let 0 - 4/5*v**2 + x*v**3 + 2/5*v = 0. Calculate v.
0, 1
Let q(o) = o + 7. Let p be q(-5). Suppose p*f - 3*f = -2. Find a, given that 14*a**3 + 5*a**f - 3*a**2 + 10*a**4 + 2*a**2 = 0.
-1, -2/5, 0
Let c(j) be the third derivative of 2*j**7/105 + j**6/30 - j**5/15 - j**4/6 - 9*j**2. Factor c(s).
4*s*(s - 1)*(s + 1)**2
Let x(f) be the third derivative of 0*f**4 + 3*f**2 + 1/315*f**7 + 0*f**3 + 0 + 1/90*f**5 - 1/90*f**6 + 0*f. Factor x(u).
2*u**2*(u - 1)**2/3
Suppose -2*i - 240 = 3*i. Let g be i/27 - 0 - -2. Suppose g*t**3 + 2/9*t**2 + 0 - 4/9*t = 0. What is t?
-2, 0, 1
Suppose 0 = -4*b - 28. Let k(u) = 3*u**3 + 6*u**2 - 3*u - 6. Let w(z) = z**3 + 2*z**2 - z - 2. Let d(s) = b*w(s) + 2*k(s). Factor d(f).
-(f - 1)*(f + 1)*(f + 2)
Let z(h) = -11*h**3 - 5*h**2 + 10*h - 8. Let a(b) = -34*b**3 - 15*b**2 + 30*b - 22. Let p(s) = 4*a(s) - 11*z(s). Factor p(v).
-5*v*(v + 1)*(3*v - 2)
Let s(t) be the second derivative of t**7/2940 + t**6/420 + t**5/140 + t**4/84 - t**3/3 - 3*t. Let m(c) be the second derivative of s(c). Factor m(x).
2*(x + 1)**3/7
Suppose -52 = 8*n - 12*n. Let z = -10 + n. Determine o, given that 0 + 1/3*o**4 - 1/3*o**2 + 1/3*o - 1/3*o**z = 0.
-1, 0, 1
Suppose w - 3 = -4*m + 1, 16 = -4*m. Suppose 5*g - w = -5. Suppose 2*r**4 + 1/2*r + 0 + 1/2*r**5 + 3*r**g + 2*r**2 = 0. What is r?
-1, 0
Suppose 3 = 4*r + 23. Let z = r + 8. Suppose -4*v + 3*v**2 + 1 - v**z - 2*v + v + 2*v = 0. Calculate v.
1
Let y(r) = 3*r**5 + 2*r**4 + 6*r**2 - 7*r - 4. Let t(i) = i**5 + i**4 - i**3 + i**2 - i - 1. Let p(m) = -4*t(m) + y(m). Solve p(u) = 0.
-3, -1, 0, 1
Suppose 0 = f - 4, 57 = 4*p + 4*f - 3. Let h = -6 + p. Factor 4*b**2 + 2*b - 2*b**h - b**4 + 0*b**4 - 3*b**4.
-2*b*(b - 1)*(b + 1)**3
Let p(t) be the second derivative of t**6/40 - t**5/16 - t**4/48 + 5*t**3/24 - t**2/4 - 7*t. Factor p(g).
(g - 1)**2*(g + 1)*(3*g - 2)/4
Factor -6 - 4 - 16*x**2 - 36*x - 1 + 3.
-4*(x + 2)*(4*x + 1)
Let k = -1 - 0. Let b be 2 - (k - 0 - -1). Find y, given that 3*y + y**2 - 1 - 3*y**3 + 0*y**2 + 2 - b*y**4 = 0.
-1, -1/2, 1
Let k(h) be the first derivative of 0*h**2 - 2/45*h**5 - 1/9*h**4 - 2/27*h**3 + 0*h - 7. Suppose k(a) = 0. What is a?
-1, 0
Let m(d) = -d**3 - 10*d**2 - 8*d - 6. Let c be m(-9). Let z be 1/(c/9)*-5. Solve -3*h**2 - 2*h + 5*h**z - 2*h**3 + 3*h - h**3 = 0.
0, 1/2, 1
Let c be (550/7)/(-11) + 8. Factor 8/7*q**2 - 2/7 - c*q.
2*(q - 1)*(4*q + 1)/7
Let t(j) be the second derivative of 1/4*j**2 - 4*j - 1/15*j**6 + 1/8*j**4 + 1/20*j**5 + 0 + 1/56*j**7 - 7/24*j**3. Factor t(x).
(x - 1)**3*(x + 1)*(3*x - 2)/4
Let y = 223 - 220. Determine z, given that 0 - 1/2*z - 1/2*z**y - z**2 = 0.
-1, 0
Let i(m) be the first derivative of 8*m**3/3 + 3*m**2 - 2*m + 3. Let i(g) = 0. What is g?
-1, 1/4
Let -6/5*n**3 + 4/5*n**2 - 1 + 1/5*n**4 + 6/5*n = 0. What is n?
-1, 1, 5
Find s, given that 2/7*s**2 + 0 - 2/7*s + 2/7*s**3 - 2/7*s**4 = 0.
-1, 0, 1
Let b(l) be the second derivative of -l**8/1680 - l**7/840 - l**3/6 + 3*l. Let d(h) be the second derivative of b(h). Solve d(i) = 0.
-1, 0
Let w(l) be the second derivative of l + 0 + 1/10*l**5 + 1/6*l**4 - 1/2*l**3 - 1/10*l**6 + 1/2*l**2 + 1/42*l**7. Factor w(j).
(j - 1)**4*(j + 1)
Let x = 14 + -3. Determine a, given that a**2 - 11 + x = 0.
0
Suppose 8 = b + b - 4*l, 4*b = 5*l + 13. Factor -s**2 - s**2 + 5*s**b - 6*s + 3.
3*(s - 1)**2
Suppose 8*s**4 + 0 + 10/3*s**5 + 0*s + 4/3*s**2 + 6*s**3 = 0. What is s?
-1, -2/5, 0
Let o be 26/9 - (0 + 2). Let r = -8 + 11. Factor o + 10/9*j**2 + 14/9*j**r - 32/9*j.
2*(j - 1)*(j + 2)*(7*j - 2)/9
Let f be 2/(-10) - 192/(-10). Let p = f + -56/3. Factor -p*b**3 + 2/3*b + 0 + 1/3*b**2.
-b*(b - 2)*(b + 1)/3
Suppose 0 + 1/7*f**2 + 0*f + 1/7*f**3 = 0. What is f?
-1, 0
Let n = -19 - -20. Let s = 1 + n. Factor -2/9 - 2/9*m**s + 4/9*m.
-2*(m - 1)**2/9
Let r(g) = -g**3 + g**2 + g - 1. Let k(h) = -3*h**4 + 12*h**3 - 6*h**2 - 12*h + 9. Let c(a) = -k(a) - 6*r(a). Determine i, given that c(i) = 0.
-1, 1
Let f(l) be the second derivative of 18*l**6/35 + 9*l**5/35 - 5*l**4/4 - 6*l**3/7 - 3*l**2/14 - 5*l. Find s, given that f(s) = 0.
-1, -1/6, 1
Let c(r) = 2*r**2 + 2*r. Let h(g) = 3*g**2 + 4*g. Let l(w) = -5*c(w) + 3*h(w). Factor l(j).
-j*(j - 2)
Let h = 90137/42 + -2146. Let m(y) be the second derivative of 1/7*y**3 + h*y**4 + 0 - 2*y - 2/7*y**2. Factor m(v).
2*(v + 1)*(5*v - 2)/7
Factor -9 - 6*l + 3*l - 9*l + 6 - 12*l**2.
-3*(2*l + 1)**2
Suppose 382 = -4*b + 110. Let a = -474/7 - b. Factor -a*o**2 - 2/7 - 4/7*o.
-2*(o + 1)**2/7
Let p(q) be the first derivative of -2*q**3/27 + q**2/9 + 4*q/9 + 8. Factor p(l).
-2*(l - 2)*(l + 1)/9
Let b(u) be the second derivative of -u**7/28 - u**6/12 + u**5/8 + 5*u**4/24 - u**3/6 + 24*u. Suppose b(o) = 0. Calculate o.
-2, -1, 0, 1/3, 1
Suppose 2*m = -5*n - 0*m + 18, 0 = -4*n - 3*m + 20. Solve 10*k**2 - 8*k**3 - 2 - 4*k + n + 2*k = 0 for k.
0, 1/4, 1
Let n(f) = -8*f**2 + 8*f + 12. Let i(g) = -9*g**2 + 9*g + 13. Suppose 0 = 2*l - 4*l + 2*r, 0 = 3*l + 4*r - 28. Let a(v) = l*i(v) - 5*n(v). Factor a(h).
4*(h - 2)*(h + 1)
Let c be ((-6)/(-81))/((128/12)/8). Let j(g) be the third derivative of 2/9*g**3 + 4*g**2 - c*g**4 + 0*g - 13/180*g**5 + 0 - 1/72*g**6. Factor j(l).
-(l + 1)*(l + 2)*(5*l - 2)/3
Let u(v) be the second derivative of -3*v**5/5 + 43*v**4/3 - 322*v**3/3 + 98*v**2 + 7*v - 4. Factor u(g).
-4*(g - 7)**2*(3*g - 1)
Let h(f) = -f**2 - 33*f + 7. Let d(k) = -8*k + 2. Let c(u) = -18*d(u) + 4*h(u). Factor c(y).
-4*(y - 2)*(y - 1)
Let b(x) = x**3 + 7*x**2 + x - 3. Let u(k) = k**3 + 13*k**2 + k - 5. Let j(t) = 10*b(t) - 6*u(t). Factor j(n).
4*n*(n - 1)**2
Suppose 0 = -5*t - 2*r + 14, -5*r + 9 = 4*t - 9. Factor 3*f + 2*f - f - 2*f**t.
-2*f*(f - 2)
Let n(v) be the second derivative of v**5/25 + v**4/6 + v**3/15 - 2*v**2/5 - 14*v. Let n(g) = 0. Calculate g.
-2, -1, 1/2
Suppose 3*r = -l + 12, -2*l = -3*r + 8*r - 21. Determine q so that -r*q - 9*q**2 + q**3 + 1 - 3*q - 5*q**3 - 2 = 0.
-1, -1/4
Let k = -139 + 1685/12. Let b = 1/12 + k. Determine p so that -3/2*p**5 + 0 + 0*p**3 + b*p + 3*p**4 - 3*p**2 = 0.
-1, 0, 1
Let c(v) = 2*v**3 + 5*v**2 + v + 1. Let j(h) = -2*h**3 - 6*h**2 - 2*h - 2. Let i = -10 + 6. Let m(q) = i*c(q) - 3*j(q). Factor m(a).
-2*(a - 1)*(a + 1)**2
Let r be 4/(-5) + (-3)/15. Let h be -1 + -1 - 4/r. Find a such that h*a**3 + 2*a**4 + 2*a**2 + 0*a**4 - 6*a**3 = 0.
0, 1
Let v(b) be the third derivative of -b**5/30 - b**4/12 + 2*b**3/3 + 28*b**2. Determine t, given that v(t) = 0.
-2, 1
Let y(h) be the third derivative of 0 + 1/840*h**7 + 0*h**3 + 0*h - 6*h**2 + 1/480*h**6 + 0*h**5 + 0*h**4. Factor y(m).
m**3*(m + 1)/4
Suppose -4 = -4*d + 4. Solve -2*w**3 - 7*w**d + 10*w + 3*w**3 - 4 - w**2 + w**3 = 0 for w.
1, 2
Let -30*b**2 + 9*b**3 - 7*b**3 + 7*b**3 = 0. What is b?
0, 10/3
Let a = -6 + 9. Find j, given that 9*j - 3*j**2 - 9*j + a = 0.
-1, 1
Let j = -9 + 11. Suppose -c + 2*d = -5, 1 + 1 = j*c + 4*d. Factor 2/3*i**2 - 2/3 + 2/3*i**c - 2/3*i.
2*(i - 1)*(i + 1)**2/3
Let x(u) be the second derivative of -u**5/30 + 2*u**4/9 - 4*u**3/9 - 5*u. Factor x(o).
-2*o*(o - 2)**2/3
Let a(x) be the second derivative of -x**7/7560 + x**6/1080 - x**5/360 + x**4/6 + 2*x. Let f(o) be the third derivative of a(o). Factor f(i).
-(i - 1)**2/3
Suppose 0 = -l - 5*j - 10, -3*l + 5*j = -6 - 4. Find v, given that -1/3*v**2 + 0*v + l = 0.
0
Let a = 17 - 49/3. Let v be 1 - (1 + 2/(-6)). Determine d, given that v*d**2 + a + d = 0.
-2, -1
Let c = -13 - -17. Let f(k) be the third derivative of 1/60*k**5 - 1/336*k**8 + 0*k + 1/120*k**6 - 2*k**2 - 1/210*k**7 + 0*k**3 + 0 + 0*k**c. Factor f(r).
-r**2*(r - 1)*(r + 1)**2
Factor 0 + t**2 - 460*t + 1 + 462*t.
(t + 1)**2
Let q(f) be the first derivative of 4*f**3/9 - 2*f**2/3 - 8*f/3 - 2. Solve q(p) = 0 for p.
-1, 2
Let d(i) = i - 4. Let c be d(4). Suppose -5*x + c*x + 15 = 0. Factor 7*h**2 - 7*h**2 - 18*h**5 + 4*h**x - 6*h**4.
-2