- 1/7*z + 0*z**4 + 0*z**2 + 2/7*z**3 - 1/7*z**5.
-z*(z - 1)**2*(z + 1)**2/7
Let f be (8/76)/((-1)/(-8)). Let x = 188/133 - f. Let 2/7*r**2 - x*r + 2/7 = 0. Calculate r.
1
Suppose -7/4*s - 1/4*s**2 - 3/2 = 0. Calculate s.
-6, -1
Let p(z) be the third derivative of z**5/12 + 25*z**4/24 + 10*z**3/3 + 16*z**2. Let p(m) = 0. What is m?
-4, -1
Let j(q) be the second derivative of -q**6/90 + q**5/12 - q**4/9 - 12*q. Determine i, given that j(i) = 0.
0, 1, 4
Let x(b) be the first derivative of 2*b**5/25 - 12. Find t such that x(t) = 0.
0
Determine o, given that 2*o**2 - 2*o + 1/2 = 0.
1/2
Let v(i) be the second derivative of 5*i**4/12 - 5*i**3/3 + 17*i. Solve v(l) = 0 for l.
0, 2
Let k(p) be the third derivative of 1/840*p**8 + 0*p + 1/15*p**3 + 0 + 1/525*p**7 - 1/150*p**6 + 2*p**2 + 1/60*p**4 - 1/75*p**5. Factor k(s).
2*(s - 1)**2*(s + 1)**3/5
Let y(o) be the first derivative of o**6/300 - o**4/60 - o**2/2 + 2. Let d(q) be the second derivative of y(q). Factor d(i).
2*i*(i - 1)*(i + 1)/5
Let c(b) be the second derivative of 0*b**3 + 1/24*b**4 + 1/2*b**2 + 1/60*b**5 + 0 - 3*b. Let o(x) be the first derivative of c(x). Factor o(t).
t*(t + 1)
Suppose 5*i - 11 - 4 = 0. What is f in -2*f**5 - 2*f**i + f + 0*f**5 - 3*f**5 + 6*f**5 = 0?
-1, 0, 1
Suppose t = 4*o - 5*o + 7, 0 = -2*o + 5*t - 14. Let g(v) be the first derivative of -6*v + 2 + 8*v**2 - 10/3*v**o. Let g(c) = 0. Calculate c.
3/5, 1
Let h(y) be the third derivative of -5*y**5/6 + 10*y**4/3 - 16*y**3/3 + 6*y**2. What is l in h(l) = 0?
4/5
Let b(g) be the second derivative of g**6/480 + g**2 - 3*g. Let q(w) be the first derivative of b(w). Factor q(z).
z**3/4
Let d(c) be the third derivative of 325*c**8/1512 + 64*c**7/63 + 1037*c**6/540 + 251*c**5/135 + c**4 + 8*c**3/27 + 20*c**2. Suppose d(q) = 0. What is q?
-1, -2/5, -2/13
Factor -3 + 2 + y**4 + 1.
y**4
Factor -4*x**3 + 4*x - 13*x**3 - 12*x**2 + x**3.
-4*x*(x + 1)*(4*x - 1)
Suppose c = -4*s + 32, -5*c + 2*c = 12. Let q = s - 3. Suppose 0*k + 0*k - q*k**3 - 2*k**2 + 4*k**3 = 0. Calculate k.
-1, 0
Let r be (12/14)/(2/14). Suppose 2*w + 2*p = 3*w - r, 0 = 5*p + 10. Determine m so that 3*m**2 + 6*m + w*m - m**2 + 8 = 0.
-2
Suppose 18*l - 78 = -24. Determine g, given that 4/5*g**4 + 0*g**l + 2/5*g**5 - 2/5*g - 4/5*g**2 + 0 = 0.
-1, 0, 1
Let j(n) = -n**2 + 2 + 8*n - 2 + 3. Let r be j(8). Find l, given that 3/2*l**2 + 0 - 1/2*l + 1/2*l**4 - 3/2*l**r = 0.
0, 1
Let c be (-4)/(-20) - 147/(-15). Suppose -b + c = 4*b. Solve 8/5 + 2/5*k**b + 8/5*k = 0 for k.
-2
Let x(k) be the first derivative of 2*k**3/9 + 2*k**2 - 32*k/3 + 21. Suppose x(q) = 0. Calculate q.
-8, 2
Let i(z) be the first derivative of 2/3*z**3 + 2/5*z**5 + 4 + z**4 + 0*z**2 + 0*z. Factor i(g).
2*g**2*(g + 1)**2
Let n(r) be the second derivative of r**6/120 + r**5/60 + r**2/2 - 3*r. Let v(z) be the first derivative of n(z). Factor v(g).
g**2*(g + 1)
Let t be 5 + -1 + (-27)/7. Let z(o) be the second derivative of 1/3*o**6 - 2*o + 1/10*o**5 + 2/3*o**3 + 0*o**2 - t*o**7 + 0 - 5/6*o**4. Solve z(v) = 0 for v.
-1, 0, 2/3, 1
Let a(s) = 8*s. Let h be a(0). What is f in 0 - 1/2*f**2 + 1/4*f**3 + h*f = 0?
0, 2
Let k(d) be the second derivative of d**7/24 - d**6/60 - 21*d**5/80 - d**4/6 + d**3/6 + 6*d. Let k(u) = 0. What is u?
-1, 0, 2/7, 2
Determine i, given that 33*i**3 - 2*i**5 - 13*i**3 + 4*i**2 - 14*i**3 = 0.
-1, 0, 2
Let h(o) be the third derivative of o**8/336 - o**7/70 + o**6/60 + o**5/30 - o**4/8 + o**3/6 + 7*o**2. Factor h(a).
(a - 1)**4*(a + 1)
Let f(k) be the second derivative of 5*k**7/14 - 5*k**6/3 + 3*k**5 - 5*k**4/2 + 5*k**3/6 - 16*k. Suppose f(l) = 0. Calculate l.
0, 1/3, 1
Find b, given that 2 + 2*b**2 + 2 - 15*b**3 - 6 + 9*b + 6*b**2 = 0.
-2/3, 1/5, 1
Let v(c) = -8*c + 1. Let x be v(-1). Let d be x/(-30)*25/(-30). Find b such that d*b + 0 - 3/2*b**4 - 3/2*b**2 + 11/4*b**3 = 0.
0, 1/3, 1/2, 1
Let b(j) = j - 3. Let x be b(2). Let f be (-7 - -10) + x + 1. Factor 8/3*p**4 + 20/3*p**f + 1/3 + 6*p**2 + 7/3*p.
(p + 1)*(2*p + 1)**3/3
Let s(j) be the first derivative of j**7/126 + 2*j**6/45 + j**5/12 + j**4/18 + 2*j + 1. Let d(v) be the first derivative of s(v). Let d(g) = 0. Calculate g.
-2, -1, 0
Let n(p) = 28*p**2 - p + 1. Let i be n(1). Let r be 80/i + 1*-2. Factor -2/7*g + 2/7*g**4 - 6/7*g**3 + r*g**2 + 0.
2*g*(g - 1)**3/7
Let c = -3 - -6. Solve -w + 8*w + 5*w**c - w - 2 - 3*w**3 - 6*w**2 = 0.
1
Let b = -16 - -11. Let q(o) = -o**2 - 5*o + 6. Let s be q(b). Factor -2*j - j**2 - s*j**3 + 0 - 2*j**4 + 0 - 5*j**2.
-2*j*(j + 1)**3
Let n(j) = -2*j - 8. Let t be n(-5). Let r(h) be the first derivative of -2*h**t - 2 - h**4 - 2*h**3 - h - 1/5*h**5. Factor r(k).
-(k + 1)**4
Let j(g) be the third derivative of -5*g**8/336 + g**7/21 - g**5/6 + 5*g**4/24 - 4*g**2. Factor j(m).
-5*m*(m - 1)**3*(m + 1)
Let s(j) be the first derivative of -j**4/8 - j**3/2 - j**2/2 - 7. Factor s(p).
-p*(p + 1)*(p + 2)/2
Factor 2/3*c + 1/3 + 1/3*c**2.
(c + 1)**2/3
Let i(w) = -3*w + 9. Let h be i(2). Solve 0*c + 2/3*c**2 - 1/3*c**4 - 1/3 + 0*c**h = 0 for c.
-1, 1
Let z(m) = 15*m**3 + 165*m**2 + 7*m + 7. Let h(v) = -10*v**3 - 110*v**2 - 5*v - 5. Let o(i) = -7*h(i) - 5*z(i). Factor o(y).
-5*y**2*(y + 11)
Let u(g) be the third derivative of -g**8/20160 + g**7/5040 - g**5/20 + g**2. Let q(d) be the third derivative of u(d). Factor q(s).
-s*(s - 1)
Let n = 3 + -1. Factor -13*a**2 + 0*a**3 - 5*a**4 - 12*a**2 + 19*a**3 - 4 - n*a**4 + 16*a + a**5.
(a - 2)**2*(a - 1)**3
Let z(d) be the first derivative of -d**6/8 + 3*d**5/10 - d**3/2 + 3*d**2/8 + 5. Factor z(w).
-3*w*(w - 1)**3*(w + 1)/4
Suppose y**2 - 7*y**4 - 6*y**4 + 12*y**4 + y**3 - y = 0. What is y?
-1, 0, 1
Let r(k) = 6*k**2 - 4*k + 8. Let f(o) = -7*o**2 + 3*o - 8. Suppose 0 = p + 3*t + t - 16, -18 = -3*p - 2*t. Let j(i) = p*f(i) + 5*r(i). Factor j(z).
2*(z - 2)**2
Suppose -g - 2*g + 9 = 0. Let c be 0 - ((-3)/g - -1). What is q in -2/7*q**3 + 0*q**2 + c*q + 0 + 2/7*q**4 = 0?
0, 1
Let v(w) = w**5 - 24*w**4 + 55*w**3 - 45*w**2 + 13*w. Let x(a) = -8*a**5 + 168*a**4 - 384*a**3 + 316*a**2 - 92*a. Let g(n) = -20*v(n) - 3*x(n). Factor g(d).
4*d*(d - 2)**2*(d - 1)**2
Let s be (-3)/6 - (8 + -4 - 5). Determine y so that -9/2*y**3 - 3*y**2 + 0 - s*y = 0.
-1/3, 0
Let r(a) be the first derivative of -4/15*a**5 + 2/3*a + a**2 - 2 + 2/9*a**3 - 1/2*a**4. Solve r(g) = 0 for g.
-1, -1/2, 1
Suppose -19 + 14 = -f. Let z(v) be the second derivative of -1/13*v**2 + 0 - f*v - 1/195*v**6 + 0*v**5 + 1/39*v**4 + 0*v**3. Factor z(t).
-2*(t - 1)**2*(t + 1)**2/13
Solve 2*j**2 - 5*j - 4*j - 3*j**3 + 7*j**2 + 3 = 0.
1
Suppose 3 + 5 = 2*p. Suppose 0*v + 2/5*v**p + 0*v**2 - 2/5*v**3 + 0 = 0. What is v?
0, 1
Let k(i) be the third derivative of 0*i**3 - 1/270*i**5 + 0*i + 0 + 1/54*i**4 + 4*i**2. Find x, given that k(x) = 0.
0, 2
Solve -8/7*u + 6/7 + 2/7*u**2 = 0.
1, 3
Let a(u) = u**2 + 15*u + 36. Let l(o) = o**2 + 16*o + 36. Let g(m) = -4*a(m) + 3*l(m). Factor g(n).
-(n + 6)**2
Let m(x) be the first derivative of -4*x**3/3 + 10*x**2 - 16*x - 24. Factor m(z).
-4*(z - 4)*(z - 1)
Factor -5/4*f**2 - 15/2*f + 35/4.
-5*(f - 1)*(f + 7)/4
Let d(c) be the third derivative of 0 + 11/40*c**6 + 5*c**2 - 4/21*c**7 - 1/6*c**5 + 0*c**3 + 0*c + 1/21*c**8 + 1/24*c**4. Let d(h) = 0. Calculate h.
0, 1/4, 1
Let -c**3 + 9*c**3 + 60*c - 47*c**2 - 7*c**2 - 3*c**4 + 13*c**3 - 24 = 0. What is c?
1, 2
Factor 1/4*u**3 + 0 + 1/2*u**2 + 1/4*u.
u*(u + 1)**2/4
Suppose -2 = 3*g + 1. Let h = 1 - g. What is y in -5*y**h + 9*y**2 - 2*y**5 + 5*y**3 + y**4 - 5*y**2 - y**5 - 2*y = 0?
-1, -2/3, 0, 1
Let m(x) = x**4 + x**3 + x - 1. Let d(z) = -11*z**4 - 41*z**3 - 75*z**2 - 71*z - 14. Let y(v) = d(v) + 6*m(v). Suppose y(b) = 0. What is b?
-4, -1
Let f(c) = 2*c**5 - 2*c**4 - 5*c**3 + 2*c**2 - 3*c. Let n(t) = t**5 - t**4 - 5*t**3 + t**2 - 4*t. Let d(u) = -4*f(u) + 3*n(u). Let d(j) = 0. What is j?
-1, 0, 1
Let q(s) be the second derivative of -s**6/60 + s**5/10 + s**4/24 - s**3/3 + 6*s. Factor q(v).
-v*(v - 4)*(v - 1)*(v + 1)/2
Let q(m) be the third derivative of -m**6/180 - 2*m**5/45 - m**4/12 + 21*m**2. What is n in q(n) = 0?
-3, -1, 0
Let v(h) be the third derivative of h**8/60480 + h**7/15120 - h**5/60 + 3*h**2. Let i(z) be the third derivative of v(z). Suppose i(x) = 0. What is x?
-1, 0
Let b(k) be the first derivative of 0*k + 0*k**2 - 3 + 1/4*k*