f(p).
2*(p - 2)**2
Let b(v) = -3*v**2 + 5*v - 7. Let t be b(6). Let a = t + 427/5. Factor a + 8/5*c - 2*c**2.
-2*(c - 1)*(5*c + 1)/5
Let x be 77/120 + (-6)/10. Let l(g) be the third derivative of 0*g**4 + 0*g**3 + g**2 + 0 + x*g**6 + 0*g + 2/105*g**7 + 1/60*g**5. Factor l(y).
y**2*(y + 1)*(4*y + 1)
Let d = -37 - -40. Let y(z) be the first derivative of 1/3*z**d - 1/4*z**4 - z + 3 + 1/2*z**2. Factor y(t).
-(t - 1)**2*(t + 1)
Let c be ((-12)/(-2))/(2 - 0). Let t be 3 - (3/1)/c. Let 4*w**t - w + 6*w - 2*w**2 - 3*w = 0. Calculate w.
-1, 0
Let i(c) be the first derivative of -3/10*c**5 + 0*c**2 + 0*c - 9/8*c**4 + 8 - c**3. Factor i(f).
-3*f**2*(f + 1)*(f + 2)/2
Let f(w) be the first derivative of -3*w**3 + 9/4*w**4 - 3/5*w**5 + 3/2*w**2 + 0*w - 3. Let f(h) = 0. Calculate h.
0, 1
Let w(o) be the second derivative of 2*o + 0 + 3/80*o**6 - 1/112*o**7 - 3/80*o**5 + 3/16*o**3 - 1/16*o**4 - 3/16*o**2. Find z such that w(z) = 0.
-1, 1
Suppose 2*y + 4*y = 7*y. Factor -4/3*z + y - 2/3*z**2.
-2*z*(z + 2)/3
Let l(u) = u**2 + 4*u. Let n be 185/35 + 4/(-14). Let y(v) = -v - 2*v + 2*v. Let k(i) = n*y(i) + l(i). Factor k(z).
z*(z - 1)
Let q = 5 - 3. Suppose 3*f - 8 = -q. Find z such that 3*z**f - 4*z**2 + 2*z**2 = 0.
0
Let b be 152/19 - 1*4. Let s(a) be the first derivative of 0*a + 1/2*a**b + 2/3*a**3 + 0*a**2 - 1. Find u, given that s(u) = 0.
-1, 0
Let o be 2/5 - (-115)/25. Factor -2*k**3 + 0 + 2*k**4 + 0*k**5 + 2*k**o - 2*k**2 + 0.
2*k**2*(k - 1)*(k + 1)**2
Let b(w) = w**2 + 1. Suppose -7*z + 3*z + 8 = 0. Let u be b(z). Factor 4*t**3 + 0*t**5 - 2*t**3 + 3*t**u + 4*t**4 - t**5.
2*t**3*(t + 1)**2
Let o(l) be the first derivative of -l**6/24 + l**5/20 + 5*l**4/16 - l**3/12 - l**2 - l + 10. Factor o(g).
-(g - 2)**2*(g + 1)**3/4
Let v(j) be the second derivative of j**5 + 2*j**4/3 - 10*j**3/3 - 4*j**2 - 11*j. Factor v(u).
4*(u - 1)*(u + 1)*(5*u + 2)
Let p(a) be the second derivative of -a**5/70 + 5*a**4/84 - 2*a**3/21 - 3*a**2/2 - 2*a. Let r(c) be the first derivative of p(c). Factor r(m).
-2*(m - 1)*(3*m - 2)/7
Let q = -186 - -188. Determine x so that -9/5*x**3 + 21/5*x**q - 4/5*x - 4/5 = 0.
-1/3, 2/3, 2
Let o be 6 - (-2*2 - -2). Let y(h) = 5*h**2 + 12*h + 15. Let t(w) = 14*w**2 + 36*w + 46. Let i(m) = o*y(m) - 3*t(m). Factor i(c).
-2*(c + 3)**2
Let a(i) be the second derivative of -i**6/165 - i**5/55 + 2*i**3/33 + i**2/11 - 9*i. What is f in a(f) = 0?
-1, 1
Let m be ((-7 + 3)/2)/(-12). Let o(y) be the third derivative of -m*y**3 + 1/120*y**6 + 0*y - 1/20*y**5 + y**2 + 1/8*y**4 + 0. Suppose o(j) = 0. Calculate j.
1
Let -11*p - 42*p - 23 - 5*p**2 - 7 + 88*p = 0. Calculate p.
1, 6
Let p = 182/561 + 2/51. Suppose 0*v - p*v**2 + 0 + 10/11*v**3 = 0. Calculate v.
0, 2/5
Let p = 20 - 15. Let g(t) be the third derivative of -1/15*t**3 + 2*t**2 + 0 - 1/300*t**6 + 0*t + 1/60*t**4 + 1/150*t**p. Let g(d) = 0. What is d?
-1, 1
Let q(n) = 11*n**2 - 7*n - 4. Let x(p) = 5*p**2 - 3*p - 2. Let i = -1 + -3. Let u(m) = i*q(m) + 9*x(m). Factor u(a).
(a - 1)*(a + 2)
Let j be (55/10)/((-6)/(-44)). Let x = j - 39. Find t, given that 2/3*t**2 + x*t + 0 = 0.
-2, 0
Let p(b) be the second derivative of b**5/90 - b**4/54 - 2*b. Determine a so that p(a) = 0.
0, 1
Let x(k) be the first derivative of k**5/20 + k**4/16 - k**3/4 - k**2/8 + k/2 - 4. Factor x(d).
(d - 1)**2*(d + 1)*(d + 2)/4
Let -1/3*y**2 - 2/3*y + 1 = 0. Calculate y.
-3, 1
Let m(h) = 718*h**3 - 2625*h**2 + 1337*h - 197. Let d(n) = -239*n**3 + 875*n**2 - 446*n + 66. Let s(v) = 17*d(v) + 6*m(v). Solve s(a) = 0.
2/7, 3
Suppose 0 = -k - 0*k + 3. Let l(q) be the second derivative of -2/3*q**2 - 2*q + 0 - 1/36*q**4 - 2/9*q**k. Factor l(v).
-(v + 2)**2/3
Let s be ((2/(-6))/(8/(-16)))/8. Let r(c) be the first derivative of -s*c**4 - 4/3*c + 1 + 0*c**2 + 1/3*c**3. Factor r(b).
-(b - 2)**2*(b + 1)/3
Find u such that -2/3*u**4 + 2/3*u**2 - 2/3*u + 0 + 2/3*u**3 = 0.
-1, 0, 1
Factor 5*w + 9*w**3 - 3*w**4 - 5*w - 9*w**2 + 3*w.
-3*w*(w - 1)**3
Let n be 4/22 + 14/(-77). Suppose 2*i + i - 9 = n. Factor 0 - 4/5*s**2 + 0*s + 2/5*s**i.
2*s**2*(s - 2)/5
Factor -2/11*c - 4/11 + 2/11*c**2.
2*(c - 2)*(c + 1)/11
Let z(v) be the first derivative of 0*v**2 + 0*v**4 + 1/2*v + 2 + 1/10*v**5 - 1/3*v**3. Factor z(x).
(x - 1)**2*(x + 1)**2/2
Let d be (2*-1)/(2/(-4)) - 4. Let y(v) be the third derivative of 0 + d*v + 1/96*v**4 + 0*v**3 + v**2 + 1/240*v**5. Factor y(l).
l*(l + 1)/4
Let b = 4 - 0. Factor 6*m**4 + 10*m**4 - 1 + 20*m - 4*m**2 - 7 - b*m**4 - 20*m**3.
4*(m - 1)**2*(m + 1)*(3*m - 2)
Factor -36*t**3 + 4*t**2 - 45*t**3 + 4*t**4 + 73*t**3.
4*t**2*(t - 1)**2
Let p be (-16)/28*1*-7. Let f(k) be the third derivative of 0 + 0*k**p - 1/840*k**7 + 0*k**3 + 0*k - k**2 + 1/240*k**5 + 0*k**6. Factor f(i).
-i**2*(i - 1)*(i + 1)/4
Let h(n) be the first derivative of -n**3/6 + n/2 + 16. Factor h(t).
-(t - 1)*(t + 1)/2
Let q(w) = 8*w. Let d be q(2). Let v be d + (-3)/(3/(-2)). Suppose -27*i**5 + 15*i**3 + 3*i**2 + v*i**4 + 0*i**4 - 9*i**2 = 0. What is i?
-2/3, 0, 1/3, 1
Let u(i) = -6*i**2 - 5*i - 5. Let l(n) = n**2 + n + 1. Let f(z) = 5*l(z) + u(z). Factor f(g).
-g**2
Let a(c) = -7*c**2 - 11*c - 4. Let s(g) = 36*g**2 + 56*g + 20. Let z(y) = 16*a(y) + 3*s(y). Factor z(j).
-4*(j + 1)**2
Let g(o) = -o - 2. Let a be g(-6). Suppose 2 + a = 3*y. Factor 3*b + 2*b**4 - 2*b - 3*b - 2*b**y + 2*b**3.
2*b*(b - 1)*(b + 1)**2
Let q(a) = -a**3 + 2*a**2 + 2*a - 3. Let d be q(3). Let f = d + 6. Factor 1/2*t**5 - 1/2*t**4 - 1/2*t**3 + 0*t + 1/2*t**2 + f.
t**2*(t - 1)**2*(t + 1)/2
Factor -6*s**2 - 6*s**2 - 2*s**4 + 8*s - 2 + 4*s**3 + 4*s**3.
-2*(s - 1)**4
Let i(u) be the third derivative of u**5/450 - u**3/45 - 2*u**2. Let i(z) = 0. Calculate z.
-1, 1
Factor -4/7*z**3 + 0*z**2 + 4/7*z - 2/7*z**4 + 2/7.
-2*(z - 1)*(z + 1)**3/7
Let t(u) be the second derivative of 0 - 1/10*u**5 + 1/2*u**4 + 0*u**3 + 5*u - 4*u**2. Factor t(d).
-2*(d - 2)**2*(d + 1)
Suppose 2*w - 3 = 13. Let o = 17/2 - w. Factor 1/2*l**2 + o*l + 0.
l*(l + 1)/2
Suppose -3*x + 27 = 2*s, 3*x + 11 = -3*s + 44. Find i such that 2*i**5 + 2*i**5 - s*i**4 - 3*i**3 + 3*i**2 - 2 + 5*i**2 - i**3 = 0.
-1, -1/2, 1
Let r be (-16)/(-3) - 2*(-24)/(-12). Solve 0*v**2 - r*v + 4/3*v**3 - 2/3*v**4 + 2/3 = 0 for v.
-1, 1
Let s(f) be the third derivative of -f**5/210 - f**4/14 - 3*f**3/7 - f**2. Factor s(c).
-2*(c + 3)**2/7
Let n(j) = -6*j**4 + j**3 - j**2 - 4*j - 6. Let q(o) = -o**4 + o**3 + o**2 - 1. Let y(s) = n(s) - 5*q(s). Factor y(u).
-(u + 1)**4
Let b(o) = 12*o**5 - 33*o**4 + 31*o**3 - 3*o**2 - 3*o + 4. Let i(s) = -s**3 - 1. Let y = -9 + 13. Let r(l) = y*i(l) + b(l). Determine m, given that r(m) = 0.
-1/4, 0, 1
Let b(w) be the second derivative of 5*w - 1/6*w**4 + 0 + 2*w**2 + 1/3*w**3. Factor b(a).
-2*(a - 2)*(a + 1)
Factor 4/5*n**3 + 0*n**4 + 0 - 2/5*n**5 - 2/5*n + 0*n**2.
-2*n*(n - 1)**2*(n + 1)**2/5
Let p(l) be the second derivative of l**6/480 + l**5/240 - l**4/96 - l**3/24 - l**2 - 4*l. Let d(r) be the first derivative of p(r). Factor d(i).
(i - 1)*(i + 1)**2/4
Let r(i) be the first derivative of -i**7/525 + 5*i**2/2 + 7. Let z(u) be the second derivative of r(u). Factor z(s).
-2*s**4/5
Suppose 2/3*s**4 - 2 - 4*s**2 + 0*s**3 - 16/3*s = 0. Calculate s.
-1, 3
Suppose 0 = h + j - 21, -2*j = -3*h - 7*j + 69. Suppose -16*v - 6 + h + 4*v + 3*v**2 = 0. Calculate v.
2
Let d(h) be the first derivative of h**5/20 + h**4/12 - 5*h - 5. Let t(g) be the first derivative of d(g). Factor t(b).
b**2*(b + 1)
Let m(a) be the second derivative of -a**5/180 + 2*a**3/9 - a**2/2 - a. Let z(h) be the first derivative of m(h). Factor z(y).
-(y - 2)*(y + 2)/3
Let -3/2*x**2 + 3/8*x**3 + 3/2*x + 0 = 0. What is x?
0, 2
Factor 3/2*s**3 - 3/2*s**4 + 0 + 0*s**2 + 0*s.
-3*s**3*(s - 1)/2
Let k(c) = -c**3 - 4*c**2 + 6*c + 1. Let a be k(-5). Let h = 6 + a. Let -2*y**2 - 1 + 1 + 0*y**h = 0. What is y?
0
Let x = 61/9828 - -2/351. Let r(d) be the third derivative of -1/35*d**7 + 0*d**5 + 0*d**3 + 0*d - x*d**8 - d**2 + 0 + 0*d**4 - 1/60*d**6. Solve r(i) = 0.
-1, -1/2, 0
Let s = 10 + -6. Let r(b) = b**3 - 3*b**2 - 2*b - 3. Let p be r(s). Find v such that -8/9*v**2 + 2/9*v + 0 - 8/9*v**4 + 4/3*v**3 + 2/9*v**p = 0.
0, 1
Let l(g) be the second derivative of -g**4/8 - g**3/4 - 13*g. Determine z, given that l(z) = 0.
-1, 0
Let u(z) be the third derivative of -z**5/180 + 5*z*