(o - 2)*(o + 2)**2/4
Let p(h) be the first derivative of 4/21*h**3 - 1/28*h**4 + 2/7*h - 7 - 5/14*h**2. Factor p(f).
-(f - 2)*(f - 1)**2/7
Let d(o) be the second derivative of 2*o**7/21 + 2*o**6/15 - 2*o**5/5 - 2*o**4/3 + 2*o**3/3 + 2*o**2 - 4*o + 5. Factor d(y).
4*(y - 1)**2*(y + 1)**3
Let t(z) be the first derivative of z**6/6 - z**5/5 - z**4/4 + z**3/3 + 2. Factor t(x).
x**2*(x - 1)**2*(x + 1)
Suppose -215 = -4*o + 5*y, -3*o - 2*o = -5*y - 270. Factor 2*p**4 + 6*p**3 + 4*p**2 - 55 + o.
2*p**2*(p + 1)*(p + 2)
Let 3*c - 27*c**4 + 0*c + 7 - 11*c**2 - 63*c**3 - 28*c**2 - 1 = 0. Calculate c.
-1, -2/3, 1/3
Let i = 5 + -8. Let p = i + 5. Let h(a) = 2*a**3 + 4*a**2 + a + 2. Let o(u) = u**3 + 3*u**2 + u + 1. Let n(w) = p*h(w) - 3*o(w). Suppose n(j) = 0. Calculate j.
-1, 1
Let k(q) be the first derivative of 2*q**5/5 + 3*q**4 + 8*q**3 + 8*q**2 - 9. Factor k(g).
2*g*(g + 2)**3
Suppose 5*x - 94 = 4*o, -o = 5*x + 2*o - 122. Suppose 3*r + 4*c - x = 0, 2*r + 4*c - 10 = 5*r. Solve -2*u**3 + 2*u**3 + r*u**3 = 0.
0
Solve 6*j + 3/2*j**2 + 9/2 = 0 for j.
-3, -1
Factor 12*t**2 + 7*t**3 + 29*t**3 + 16*t**4 + 2*t - 12*t**3.
2*t*(2*t + 1)**3
Let u(n) = 24*n**2 - 79*n - 18. Let w be -1*24/4*-1. Let b(g) = 12*g**2 - 39*g - 9. Let l(y) = w*u(y) - 13*b(y). Let l(h) = 0. What is h?
-1/4, 3
Let j(b) be the second derivative of b**7/168 + b**6/60 - 3*b**5/80 - b**4/12 + b**3/6 + 6*b. Factor j(y).
y*(y - 1)**2*(y + 2)**2/4
Let k(c) = -c**2 - 1. Let r(f) = -f**2. Let g(y) = 9*y**2 - y + 2. Let u(s) = -g(s) - 6*r(s). Let j(q) = -2*k(q) + u(q). Factor j(a).
-a*(a - 1)
Suppose 3/4*j**2 + 12*j + 48 = 0. What is j?
-8
Let j(m) = -m**2 - 6*m - 2. Let b(c) = c - 1. Let z = -26 + 44. Let d be (2/6)/(3/z). Let s(a) = d*b(a) + j(a). Factor s(p).
-(p + 2)**2
Determine a so that 2/15*a**3 + 0 + 0*a**2 + 0*a = 0.
0
Let r(d) be the first derivative of 2 + 10*d + d**3 + 0*d - 6*d**2 + 2*d. Factor r(u).
3*(u - 2)**2
Suppose -35*n - 9 + 86*n - 3*n**3 - 36*n - 3*n**2 + 0*n**3 = 0. Calculate n.
-3, 1
Solve 0 + 0*g + 2/11*g**3 + 4/11*g**2 - 6/11*g**4 = 0 for g.
-2/3, 0, 1
Factor 24/7*x**2 + 2/7*x**4 + 20/7*x + 12/7*x**3 + 6/7.
2*(x + 1)**3*(x + 3)/7
Factor 6/7*x**4 - 8/7*x**3 + 0 + 0*x + 2/7*x**5 + 0*x**2.
2*x**3*(x - 1)*(x + 4)/7
Let a(k) be the second derivative of k**6/90 - k**4/36 - 7*k. Factor a(w).
w**2*(w - 1)*(w + 1)/3
Let w be 3/(3/10) - 2. Let s = 11 + -3. Factor -2*z + w*z**3 - s*z**2 - 1 + 3 + 0.
2*(z - 1)*(2*z - 1)*(2*z + 1)
Determine y so that -2/13*y**2 - 4/13*y + 0 = 0.
-2, 0
Suppose 4*d = -0*d - 8. Let i be d/(-1) - 14/8. Determine g, given that i*g**2 - 1/2*g + 1/4 = 0.
1
Let p be 2/6*(-2 - -2). Let d be p - (3/1 - 5). Determine k so that 9/5*k**d + 0 + 9/5*k**3 + 3/5*k + 3/5*k**4 = 0.
-1, 0
Factor 6*k**2 + 10*k + 2/3*k**3 - 50/3.
2*(k - 1)*(k + 5)**2/3
Let s(x) be the first derivative of x**4/14 + 2*x**3/21 - x**2/7 - 2*x/7 + 2. Determine p, given that s(p) = 0.
-1, 1
Let j(o) = -o**3 + o**2 - 1. Let y(v) = 3*v**3 - 4*v**2 + 3*v + 6. Let k(i) = -4*j(i) - y(i). Factor k(q).
(q - 2)*(q + 1)**2
Let u(f) be the second derivative of -5*f**4/12 - 25*f**3/3 - 125*f**2/2 - 18*f. Determine n, given that u(n) = 0.
-5
Suppose -21 = 6*m - 45. Factor 0 + 0*c**2 + 1/3*c**m + 1/2*c**5 + 0*c - 1/6*c**3.
c**3*(c + 1)*(3*c - 1)/6
Let y(a) be the second derivative of -a**6/110 + 2*a**5/55 - a**4/22 + a**2/22 - 6*a. Suppose y(k) = 0. What is k?
-1/3, 1
Factor -b + 21 + 18*b + 19*b + 141 + 2*b**2.
2*(b + 9)**2
Factor 2*f + 4*f**2 + f**2 - 2*f**2.
f*(3*f + 2)
Let m(i) be the first derivative of 1/4*i**5 + 0*i + 1/24*i**6 + 7/12*i**3 + 2 + 1/4*i**2 + 9/16*i**4. Factor m(w).
w*(w + 1)**3*(w + 2)/4
Suppose -2 = -2*h + 6. Factor p - 6*p**h + 0*p**4 - 2*p**4 + 6*p**2 + p.
-2*p*(p - 1)*(2*p + 1)**2
Let s(f) be the first derivative of -13*f**4/6 + 4*f**3/9 - 7. Suppose s(y) = 0. Calculate y.
0, 2/13
Let b = -31 + 32. Let f(n) be the first derivative of 0*n + 0*n**2 - 1/10*n**5 + 0*n**4 + 1/6*n**3 - b. Determine v, given that f(v) = 0.
-1, 0, 1
Suppose -5*o + 11 = 1. Let s = 2 - o. Factor s - g**2 - 1/2*g.
-g*(2*g + 1)/2
Suppose -38*b = 6 - 82. What is n in -2/15*n**b + 0*n**3 + 0*n + 0 + 2/15*n**4 = 0?
-1, 0, 1
Let o(b) = 4*b**2 + b. Let y be o(1). Let j(f) be the third derivative of 0 + 1/210*f**y + 2/21*f**3 - 1/28*f**4 - 2*f**2 + 0*f. Factor j(d).
2*(d - 2)*(d - 1)/7
Let y(a) be the third derivative of -a**5/270 + 5*a**4/108 - 4*a**3/27 + 5*a**2. Let y(g) = 0. What is g?
1, 4
Suppose x + 8 = 2. Let p be 2*1*(-9)/x. Factor 4*b**2 - b**3 - 5*b**2 + p*b**2 - b.
-b*(b - 1)**2
Let p(g) be the second derivative of 4*g + 0*g**4 - g**2 - 1/5*g**5 + 0 + 1/15*g**6 + 2/3*g**3. Solve p(t) = 0 for t.
-1, 1
Determine p, given that 16*p**2 + 0 + 16/3*p - 28/3*p**3 = 0.
-2/7, 0, 2
Factor p**2 + 6*p + 12*p**2 + 4*p**2 + 4*p**2 + 24*p**3 + 9*p**4.
3*p*(p + 1)**2*(3*p + 2)
Let v = 706047/256 - 2758. Let x = v + 1795/768. What is o in 2/3 + 16/3*o**2 - x*o**3 - 11/3*o = 0?
2/7, 1
Let f(o) = -9*o**3 + 12*o**2 + 3*o - 24. Let y(r) = -r**3 + r - 1. Let s(g) = f(g) - 6*y(g). What is w in s(w) = 0?
-1, 2, 3
Let n be (-14)/49 + 74/14. Let u = 7 - n. Factor -6*w**2 + 3*w**2 + 4*w**u.
w**2
Let b(k) be the second derivative of k**8/30240 - k**7/11340 - k**6/1620 - k**4/6 - 2*k. Let x(d) be the third derivative of b(d). Factor x(t).
2*t*(t - 2)*(t + 1)/9
Let j(o) be the first derivative of o**4/28 + 10*o**3/21 + 25*o**2/14 + 28. Find a such that j(a) = 0.
-5, 0
Factor 0 + 3/2*m**3 + 0*m + 8/3*m**5 - 4*m**4 - 1/6*m**2.
m**2*(m - 1)*(4*m - 1)**2/6
Let u(n) = 40*n**3 + 74*n**2 + 34*n. Let b(x) = 8*x**3 + 15*x**2 + 7*x. Let m(w) = 14*b(w) - 3*u(w). Solve m(k) = 0.
-1, -1/2, 0
Let g(n) be the second derivative of 1/10*n**3 + 0*n**2 + n + 0 - 1/20*n**4. Factor g(w).
-3*w*(w - 1)/5
Suppose 20 = 5*n - 5. Let p(m) be the second derivative of -2*m - 1/6*m**4 + m**2 + 0 - 1/6*m**3 + 1/20*m**n. Factor p(o).
(o - 2)*(o - 1)*(o + 1)
Let h(m) = 13*m**3 - 20*m**2 - 29*m + 6. Let l(x) = -12*x**3 + 21*x**2 + 30*x - 6. Let p(b) = -3*h(b) - 2*l(b). Solve p(a) = 0.
-1, 1/5, 2
Let x = 10 + -16. Let b = x + 9. Suppose 0*o + 0*o**2 + 2/3*o**4 + 0 + 2/3*o**b = 0. Calculate o.
-1, 0
Let f(l) be the second derivative of -l**4/36 + 2*l**3/9 + 5*l**2/6 - 11*l. Factor f(i).
-(i - 5)*(i + 1)/3
Factor -u + u**2 - 8*u**3 + 9*u**3 + 2 - 3*u**2 + 0*u.
(u - 2)*(u - 1)*(u + 1)
Let h(f) = f**2 - f. Let o(x) = 4*x**2 + 8*x - 16. Let n(m) = -8*h(m) + o(m). Factor n(k).
-4*(k - 2)**2
Let m be 28/18*(-12)/(-14). Factor -m + 4/3*u + 1/3*u**4 + u**2 - 4/3*u**3.
(u - 2)**2*(u - 1)*(u + 1)/3
Let w = -1 + 5/3. Factor 2/3*r**2 - w*r**3 + 0*r + 0.
-2*r**2*(r - 1)/3
Suppose -4*i = -8*i + 12. Let v(x) be the second derivative of x - 7/75*x**6 - 8/25*x**5 + 0 - 2/15*x**i + 0*x**2 - 11/30*x**4. Factor v(y).
-2*y*(y + 1)**2*(7*y + 2)/5
Let n(x) be the second derivative of -x**9/52920 - x**8/23520 + x**4/4 - 2*x. Let o(h) be the third derivative of n(h). Suppose o(d) = 0. Calculate d.
-1, 0
Let s be 8/574*1/2. Let k = 556/2583 + s. Find x such that 2/9*x**4 + 0*x**2 - k + 4/9*x**3 - 4/9*x = 0.
-1, 1
Let z = 13/8 - 9/8. Let x(l) be the first derivative of 3/8*l**4 - 1/10*l**5 - z*l**3 - 1 + 1/4*l**2 + 0*l. Factor x(i).
-i*(i - 1)**3/2
Let m be 2 + -2 + 1 + 1. Factor z - 5 + 4 - 1 + 4*z**m - 3*z**2.
(z - 1)*(z + 2)
Let b(h) be the second derivative of h**7/1470 + h**6/180 - h**5/35 + 2*h**4/3 - 3*h. Let c(v) be the third derivative of b(v). Factor c(t).
4*(t + 3)*(3*t - 2)/7
Let g(k) be the first derivative of k**6/30 + 3*k**5/25 + 3*k**4/20 + k**3/15 + 1. Factor g(f).
f**2*(f + 1)**3/5
Let i(v) be the second derivative of -4/3*v**3 - 3*v - 1/20*v**5 + 0 + 5/12*v**4 + 2*v**2. Let i(l) = 0. What is l?
1, 2
Let h(u) = -4*u - 8*u**2 - 8*u**3 + 2*u + 7*u + 5. Let g(z) = -z**3 - z**2 + z + 1. Let x(b) = 5*g(b) - h(b). Factor x(y).
3*y**2*(y + 1)
Let t(c) = -c**2 - 9*c + 4. Let h be t(-6). Suppose 5*r - 10 = -5*w, -2*w = -4*r + w + h. Suppose r*j**2 - 4*j**2 - j**2 - 2*j = 0. Calculate j.
-2, 0
Let x(o) be the third derivative of -o**8/840 + o**6/100 + o**5/75 + 14*o**2. Factor x(z).
-2*z**2*(z - 2)*(z + 1)**2/5
Let w be (-8)/20 - (-41)/15. Factor -w*x**3 - 2/3 + 7/3*x - x**2 + 5/3*x**4.
(x - 1)**2*(x + 1)*(5*x - 2)/3
Let a(n) = n + 7. Let j be 2*(-2)/4*5. Let f be a(j). Let 0 + 0 + 16