 - 1/15*s**4 + 0. Factor a(j).
-2*j**2*(j + 1)*(3*j + 2)/5
Factor 32/7*j**5 + 0*j**2 + 0*j - 2/7*j**3 + 0*j**4 + 0.
2*j**3*(4*j - 1)*(4*j + 1)/7
Let 8/5 - 32/5*l + 8/5*l**3 - 2/5*l**2 = 0. Calculate l.
-2, 1/4, 2
Suppose 5*i - 1 = 14. Let t(b) = -2*b**4 + 5*b**3 + 4*b**2 - 3. Let a(r) = r**4 - r**3 - r**2 + 1. Let k(s) = i*a(s) + t(s). Factor k(z).
z**2*(z + 1)**2
Suppose 1 = -3*a - 5*b + 6, -2*a = -3*b - 16. Suppose -w**a - 1/3*w**4 - 2/3*w + 0 + 1/3*w**2 + 5/3*w**3 = 0. What is w?
-1, 0, 2/3, 1
Let t(d) be the third derivative of -2/3*d**3 + 0*d + 9*d**2 + 0*d**4 + 0 + 1/15*d**5. Find b, given that t(b) = 0.
-1, 1
Factor 0 + 4/7*z + 2/7*z**2.
2*z*(z + 2)/7
Let g(v) = v**3 + 8*v**2 - 11*v - 11. Let d be g(-9). Suppose d*y - 20 = 2*y. Solve 26/3*i**3 + 14*i**y - 26/3*i - 4/3 - 38/3*i**2 = 0.
-1, -1/3, -2/7, 1
Let i(a) be the first derivative of 7*a**4 + 20*a**3/3 - 32*a**2 + 16*a - 5. Find r such that i(r) = 0.
-2, 2/7, 1
Let n(i) = -i + 14. Let v(u) = 3*u + 1. Let x be v(2). Let t be n(x). Let -3*q**3 + 0*q**3 + q**3 - t*q**4 = 0. What is q?
-2/7, 0
Suppose 4*b = -4*m + 4, 10 = 3*m + b + 3. Factor -2/13*u**5 + 0*u + 0*u**2 + 0 - 2/13*u**m - 4/13*u**4.
-2*u**3*(u + 1)**2/13
Let d(f) be the second derivative of -f**5/5 + 5*f**4/3 - 4*f**3 - 33*f. Factor d(z).
-4*z*(z - 3)*(z - 2)
Suppose 7*t = 4*t + 12. Factor 0 + 1/4*u**t - 1/4*u**2 - 1/4*u + 1/4*u**3.
u*(u - 1)*(u + 1)**2/4
Let j be 0 - (-3)/(27/6). What is p in 0 - j*p**4 + 1/2*p**5 + 0*p + 1/3*p**2 - 1/6*p**3 = 0?
-2/3, 0, 1
Let n(y) = -y**4 + 3*y**2 + 4*y - 2. Let k(d) = 1 + 8*d**3 + 0 - 7*d**3. Let s(l) = 2*k(l) - n(l). Factor s(w).
(w - 1)**2*(w + 2)**2
Let c(u) = -u**5 + 77*u**4 + 287*u**3 - 7*u**2 - 7*u + 7. Let o(j) = -j**5 + 51*j**4 + 191*j**3 - 5*j**2 - 5*j + 5. Let p(k) = -5*c(k) + 7*o(k). Factor p(b).
-2*b**3*(b + 7)**2
Suppose -6/5 - 14/15*k**2 + 2/15*k**3 + 2*k = 0. Calculate k.
1, 3
Let h be (-5)/60 + 2*2/12. Factor -h*c**2 - 1/2*c - 1/4.
-(c + 1)**2/4
Suppose 0 = 4*n - 6 - 18. Suppose -n*q + 20 = -q. Factor 0 + 2/7*k**5 - 2/7*k**q + 0*k**3 + 0*k + 0*k**2.
2*k**4*(k - 1)/7
Let s(o) be the first derivative of -2*o**4 + 4*o**3/3 + 2*o**2 - 6. Find d such that s(d) = 0.
-1/2, 0, 1
Let p = 19 - 17. Let u(a) be the first derivative of -1/3*a**3 - a + 1 + a**p. Factor u(h).
-(h - 1)**2
Let a(s) = -s**2 - 3*s + 1. Let r(j) = -5*j**2 - 13*j + 4. Let k(o) = -9*a(o) + 2*r(o). Let y(t) = 57*t**2 + 38*t - 2. Let w(h) = -6*k(h) + y(h). Factor w(c).
(7*c + 2)*(9*c + 2)
Let u(i) be the third derivative of -i**9/1512 + i**7/210 - i**5/60 + i**3/2 - 2*i**2. Let k(t) be the first derivative of u(t). Solve k(m) = 0 for m.
-1, 0, 1
Suppose t + 1 + 0 = 0. Let v = t + 3. Factor -l**v - l**3 + l**2 + l**2.
-l**2*(l - 1)
Factor -289/4 - 17/2*z - 1/4*z**2.
-(z + 17)**2/4
Find d, given that 0*d + 1/8 - 1/8*d**2 = 0.
-1, 1
Let h = -8 + 7. Let m be 0 + 1 + h - 0. Find o, given that -1/4*o**3 + 1/2*o**2 - 1/4*o + m = 0.
0, 1
Let r(h) = -24*h**4 + 25*h**3 + 81*h**2 + 9*h - 23. Let w(k) = 12*k**4 - 12*k**3 - 40*k**2 - 4*k + 12. Let b(f) = 4*r(f) + 9*w(f). Solve b(s) = 0 for s.
-1, 2/3, 2
Let b(f) = f - 1. Let q(t) = 63*t**2 + 69*t + 3. Let y(i) = 9*b(i) - q(i). Factor y(l).
-3*(3*l + 2)*(7*l + 2)
Let x be (-1472)/(-72) - 12/27. Factor 50/7*s**3 - x*s**2 + 88/7*s - 16/7.
2*(s - 2)*(5*s - 2)**2/7
Factor 37*w - 48*w**2 - w**3 + 162*w + 5*w**3 - 7*w - 256.
4*(w - 4)**3
Let g(r) be the third derivative of -2*r**5/5 - 13*r**4/6 - 4*r**3/3 - 12*r**2. Suppose g(o) = 0. What is o?
-2, -1/6
Let n(c) = c**2 - 4*c - 7. Let f be n(6). Find x, given that -2/7*x**3 + 0*x + 0 - 2/7*x**2 + 2/7*x**4 + 2/7*x**f = 0.
-1, 0, 1
Determine c, given that 17*c**3 - c**3 - 16*c - 12*c**2 - 12*c**4 - 9 + 25 + 8*c**4 = 0.
-1, 1, 2
Let m(x) = -x**2 - 7*x + 8. Let u be m(-8). Factor 1/5*f**2 + u + 1/5*f.
f*(f + 1)/5
Suppose -33*t + 255 = 18*t. What is n in 3/2*n**4 + 3/2*n**3 - 3/2*n**2 + 0*n - 3/2*n**t + 0 = 0?
-1, 0, 1
Suppose 5*m - 5 = 0, -4*b + b = -3*m - 3. Determine x so that x**2 + b - 6*x - x**2 + 2*x**2 + x = 0.
1/2, 2
Let x(j) be the third derivative of 0*j**3 - 2*j**2 + 0*j**7 + 1/120*j**6 - 1/672*j**8 + 0*j + 0*j**5 + 0 - 1/48*j**4. Factor x(w).
-w*(w - 1)**2*(w + 1)**2/2
Let u(m) be the second derivative of m**6/180 - m**5/60 - 4*m**3/3 + 7*m. Let r(g) be the second derivative of u(g). Let r(z) = 0. Calculate z.
0, 1
Factor -2/9*v + 2/9*v**2 - 4/9.
2*(v - 2)*(v + 1)/9
Suppose -6*i - 60 = -i. Let x be ((-1)/(-3))/((-4)/i). Factor x - 4*w + 9*w**2 + 3*w - 5*w - 4*w**3.
-(w - 1)**2*(4*w - 1)
Factor 2/7*y**2 + 8/7 - 8/7*y.
2*(y - 2)**2/7
Let d be (2/(-24))/((-6)/16). Suppose 3*v - 4*v = 0. Factor -d*w**2 + 2/9*w + v.
-2*w*(w - 1)/9
Suppose 0 = y + y. Suppose 0*k - 7*k = y. Factor 0*x**2 - 1/3*x**4 + k + 1/3*x**3 + 0*x.
-x**3*(x - 1)/3
Let i(c) be the third derivative of c**8/4032 + c**7/420 + c**6/180 + c**5/10 + 2*c**2. Let w(o) be the third derivative of i(o). Factor w(x).
(x + 2)*(5*x + 2)
Let c(u) be the third derivative of 1/63*u**7 + 0 + 0*u**4 + 0*u + 1/90*u**6 + 0*u**5 + 1/168*u**8 - 6*u**2 + 0*u**3. Determine b so that c(b) = 0.
-1, -2/3, 0
Let w(t) be the third derivative of -t**7/2520 - t**6/120 - 3*t**5/40 - t**4/6 - 5*t**2. Let j(p) be the second derivative of w(p). Solve j(q) = 0.
-3
Let s(g) be the third derivative of 0*g + 0 + 1/15*g**3 + 1/12*g**4 + 1/15*g**5 - 2*g**2 + 1/840*g**8 + 1/30*g**6 + 1/105*g**7. Factor s(o).
2*(o + 1)**5/5
Let v be 328/(-123)*(-3)/2. Let w(j) be the second derivative of 0 + v*j + 1/30*j**4 - 2/5*j**2 - 1/15*j**3. Suppose w(z) = 0. Calculate z.
-1, 2
Find f such that -8/13 - 8/13*f + 2/13*f**2 + 2/13*f**3 = 0.
-2, -1, 2
Suppose 0 = -4*a - 4*o + 12, -o - 8 = -3*a - 3*o. Let j be 1/(a/7) + -3. Find x, given that -x**2 + 1/2 + 1/4*x + 1/4*x**5 - j*x**3 + 1/2*x**4 = 0.
-2, -1, 1
Let v(u) = -7 + u**3 + 11 - 5*u**2 - 7*u + 4. Let a be v(6). Let 0 - 1/5*z**a + 1/5*z = 0. What is z?
0, 1
Let n(t) be the second derivative of -t**7/168 + t**6/40 - t**5/40 + 8*t. Let n(v) = 0. What is v?
0, 1, 2
Let g(w) be the second derivative of 2*w**7/21 - w**6/3 + 5*w**4/6 - 2*w**3/3 - 13*w. Suppose g(v) = 0. Calculate v.
-1, 0, 1/2, 1, 2
Let x = 1/240 + 1/16. Let c(n) be the third derivative of -2*n**2 + 0*n + x*n**4 + 1/30*n**5 + 0 + 1/150*n**6 + 1/15*n**3. Factor c(m).
2*(m + 1)**2*(2*m + 1)/5
Let q(x) = x**3 - 3*x**2 - 2*x - 2. Let r be -1 + 0 - (4 - 14). Let z(h) = 4*h**3 - 13*h**2 - 8*h - 9. Let i(p) = r*q(p) - 2*z(p). Factor i(b).
b*(b - 2)*(b + 1)
Let v(l) be the first derivative of -4 - 2/7*l**2 - 8/7*l + 4/21*l**3. Factor v(b).
4*(b - 2)*(b + 1)/7
Let b = 237 - 709/3. Factor 0 + b*w**3 + 1/3*w**2 - 1/3*w.
w*(w + 1)*(2*w - 1)/3
Let h(x) be the second derivative of 0*x**2 + 0 + 1/18*x**4 + 1/18*x**3 + x + 1/60*x**5. Factor h(t).
t*(t + 1)**2/3
Let t(l) be the second derivative of -5*l**4/36 - 5*l**3/6 - 5*l**2/3 + 12*l. Factor t(j).
-5*(j + 1)*(j + 2)/3
Let g(j) = j + 6. Let z be g(-4). Let u be (-2)/2 - 6/(-4). Let u + d + 1/2*d**z = 0. What is d?
-1
Let y(v) be the second derivative of v**5/40 - v**3/12 + 2*v. Factor y(x).
x*(x - 1)*(x + 1)/2
Let s(l) = -8*l**4 + 12*l**3 - 26*l**2 + 27*l - 5. Let o(q) = 6*q**4 - 12*q**3 + 26*q**2 - 26*q + 6. Let z(h) = 3*o(h) + 2*s(h). Factor z(u).
2*(u - 2)**2*(u - 1)**2
Let f(d) = -6*d**4 - 30*d**3 - 31*d**2 + 24*d + 53. Let a(b) = 3*b**4 + 15*b**3 + 16*b**2 - 12*b - 26. Let u(o) = 5*a(o) + 2*f(o). Solve u(g) = 0.
-2, 1
Factor 3/4*d**4 - 3/4*d**2 + 0 + 0*d - 3/4*d**5 + 3/4*d**3.
-3*d**2*(d - 1)**2*(d + 1)/4
Let c(v) be the first derivative of -v**6/33 + 2*v**5/5 - 43*v**4/22 + 146*v**3/33 - 56*v**2/11 + 32*v/11 - 4. Factor c(r).
-2*(r - 4)**2*(r - 1)**3/11
Let o(m) be the second derivative of m**6/70 + 3*m**5/140 - m**4/14 - 14*m. Factor o(z).
3*z**2*(z - 1)*(z + 2)/7
Let x(i) = -i**3 + 8*i**2 + 20*i - 27. Let q(y) = -4*y**3 + 24*y**2 + 60*y - 80. Let a(r) = 3*q(r) - 8*x(r). Factor a(z).
-4*(z - 3)*(z - 1)*(z + 2)
Let -25/6*c + 5/6*c**2 + 10/3 = 0. What is c?
1, 4
Let s = -28 + 30. Factor n + n**4 - 2/3*n**s - 1/3*n**5 - 1/3 - 2/3*n**3.
-(n - 1)**4*(n + 1)/3
Let c(m) be the third derivative of m**6/480 + m**5/24 + 17*m**4/96 + m**3/3 - 5*m**2. Factor c(g).
(g + 1)**2*(g + 8)/4
Let u(m) be the first derivative of -45*m**4/4 + 35*m**2/2 - 10*m + 25. Find o such