 second derivative of -3*w + 3/5*w**6 + 2*w**3 + 3*w**4 + 0*w**2 + 39/20*w**5 + 0 + 1/14*w**7. Suppose y(f) = 0. Calculate f.
-2, -1, 0
Find l such that 9/2*l**2 + 1/4*l**4 + 2 + 5*l + 7/4*l**3 = 0.
-2, -1
Factor 0*b + 4*b**2 + 8*b**3 - b - 6*b + 3*b.
4*b*(b + 1)*(2*b - 1)
Factor -6*z + 7*z - 6*z - z**2 - 4*z**2.
-5*z*(z + 1)
Let v = 5 - 2. Suppose 0 = -o - 0*o + v. Factor -2*k**o - 4*k**3 + 2*k - 3*k**2 - k**2.
-2*k*(k + 1)*(3*k - 1)
Let v(j) be the second derivative of -j**6/60 - 3*j**5/40 - j**4/8 - j**3/12 - 49*j. Factor v(a).
-a*(a + 1)**3/2
Factor -2/5*p**2 + 2/5*p**4 + 2/5*p**3 + 0 - 2/5*p.
2*p*(p - 1)*(p + 1)**2/5
Let j be (-2)/8 + (-17)/(-4). Suppose 0 = -z - j*z. Suppose -3*r**4 + 6*r**4 + 2*r**3 - r**2 + z*r**2 = 0. What is r?
-1, 0, 1/3
Let d = -68/35 + 1921/70. Find z such that 3/4*z + d*z**4 + 69/2*z**3 + 18*z**2 - 3/2 + 27/4*z**5 = 0.
-1, 2/9
Find g, given that 1/6*g**3 + 1/6*g**4 - 1/6*g + 0 - 1/6*g**2 = 0.
-1, 0, 1
Let g(i) = -2*i - 50. Let l be g(-26). Factor 0*p + 4/13*p**l + 0 - 2/13*p**4 - 2/13*p**3.
-2*p**2*(p - 1)*(p + 2)/13
Solve -1/2 - 5/4*t - 1/4*t**3 - t**2 = 0 for t.
-2, -1
Let q(k) = -k**5 + 5*k**4 + 2. Suppose 4*b = -5*m - 33, 3*m + 19 = 3*b - 2*m. Let o(i) = 3*i**5 - 20*i**4 - i**3 - 9. Let d(a) = b*o(a) - 9*q(a). Factor d(y).
y**3*(y - 1)*(3*y - 2)
Suppose -4*u - 3 + 11 = 0. Suppose 3*a**5 + 3*a**4 - 6*a + 6*a - 4*a**5 - 4*a**u = 0. Calculate a.
-1, 0, 2
Let c = 265/393 + -1/131. Let a(f) be the first derivative of -c*f**3 + 1/5*f**5 + 1 + f + 0*f**2 + 0*f**4. Factor a(x).
(x - 1)**2*(x + 1)**2
Let f(u) be the third derivative of -1/3*u**4 - 1/15*u**6 + u**2 + 0*u - 1/105*u**7 + 0 - 1/5*u**5 - 1/3*u**3. Factor f(x).
-2*(x + 1)**4
Let g(t) be the first derivative of 2*t**6/15 + 7*t**5/10 + 7*t**4/6 + 2*t**3/3 - 3*t - 7. Let x(z) be the first derivative of g(z). Factor x(f).
2*f*(f + 1)*(f + 2)*(2*f + 1)
Let b(o) = o - 5. Let c be b(8). Let p be (-4)/c*(-9)/6. Factor -40*v**3 + 32*v**2 - 10*v + v**2 - p*v**4 + 1 + 18*v**4.
(v - 1)**2*(4*v - 1)**2
Let i = 91/2 - 588/13. Let b = i + 3/13. Let -b*k**2 - k - 1/2 = 0. Calculate k.
-1
Factor -1/4*w + 0 - 1/8*w**4 + 1/8*w**2 + 1/4*w**3.
-w*(w - 2)*(w - 1)*(w + 1)/8
Let w(i) = 2*i**2 - i - 1. Let n be w(-1). Let r(a) be the first derivative of 2/3*a**3 + n*a**2 + 2*a + 3. Factor r(o).
2*(o + 1)**2
Determine l, given that 1/2 - 1/2*l**3 - 1/2*l**2 + 1/2*l = 0.
-1, 1
Let u be (-4)/3*(-18)/12. Let z(c) be the first derivative of 0*c**3 - 2 - u*c**2 + 2*c - 2/5*c**5 + c**4. Factor z(q).
-2*(q - 1)**3*(q + 1)
Suppose 7*m = 8*m - 2. Factor n - 4*n**m + 2*n + 3*n**2.
-n*(n - 3)
Let p = 14 + -14. Let u(b) be the second derivative of -1/15*b**6 + 1/6*b**4 + b + p*b**2 + 0*b**3 + 1/14*b**7 - 3/20*b**5 + 0. Solve u(z) = 0 for z.
-1, 0, 2/3, 1
Let d(h) be the second derivative of 1/6*h**4 - h**2 + 0 + 0*h**3 - 2*h. Factor d(m).
2*(m - 1)*(m + 1)
Let w(g) be the first derivative of 2*g**6/21 + 12*g**5/35 + 2*g**4/7 - 8*g**3/21 - 6*g**2/7 - 4*g/7 + 15. Find o, given that w(o) = 0.
-1, 1
Let r be ((1 - 0)*1)/1. Find i such that 6*i - i - 10*i**2 + 8*i**2 - r - 2*i = 0.
1/2, 1
Suppose -103 = -4*o + k + 2*k, 0 = o - 3*k - 19. What is y in -11*y + o*y**3 - 22*y**3 + 6*y**4 - 4 + 40*y**3 - 7*y - 28*y**5 - 2*y**2 = 0?
-1, -1/2, -2/7, 1
Let s = -4 + 12. Suppose 4*m - s = -0*m. Determine x, given that -2*x + 8*x**2 - 9*x**2 + m*x - x + 2 = 0.
-2, 1
Let t(n) = -n**3 - 6*n**2 - 5*n + 3. Let m be t(-5). Suppose 2/7*s**2 + 0 - 2/7*s + 2/7*s**m - 2/7*s**4 = 0. What is s?
-1, 0, 1
Let l(u) = 2*u**2 - u - 2. Let q be l(2). Suppose 6 = q*f - f. Factor -s**3 - 3*s - s**f + 1 + 4*s + 0*s.
-(s - 1)*(s + 1)**2
Factor -211*w**2 - 212*w**2 + 24*w - 72 + 421*w**2.
-2*(w - 6)**2
Let y(h) be the first derivative of -2 - 1/15*h**4 + 1/150*h**5 + 0*h + 4/15*h**3 - h**2. Let c(o) be the second derivative of y(o). Factor c(g).
2*(g - 2)**2/5
Suppose -40*q + 70 + 10 = 0. Factor 9/2*k + 0 - 3/2*k**q.
-3*k*(k - 3)/2
Let f = 437 - 437. Factor 0 + f*g + 1/6*g**2 - 1/6*g**3.
-g**2*(g - 1)/6
Factor 1/3*w**4 - 2*w**3 - 8/3*w + 0 + 4*w**2.
w*(w - 2)**3/3
Let k = 6 + -2. Suppose 4*i = -2*m + 20, -2*m + 3*i - k = i. Factor 2/7 + 4/7*z + 2/7*z**m.
2*(z + 1)**2/7
Let v(h) be the second derivative of 0 + 1/60*h**5 - 1/18*h**4 + 2*h + 0*h**2 + 1/18*h**3. Determine u, given that v(u) = 0.
0, 1
Let i be 4/(-14) - 74/(-14). Suppose -f - 16*f**5 - i*f - 56*f**4 + 4*f + 9*f**2 - 28*f**2 - 57*f**3 = 0. What is f?
-2, -1, -1/4, 0
Let w(g) be the first derivative of 4/15*g**3 - 4 - 1/5*g**2 - 1/10*g**4 + 0*g. Factor w(b).
-2*b*(b - 1)**2/5
Let i(p) = p**2 + 17*p + 33. Let h be i(-15). Factor -2/3*m + 0 + 4/3*m**h - 2/3*m**2.
2*m*(m - 1)*(2*m + 1)/3
Let 0*c + 2/5*c**4 - 3/5*c**3 + 0 + 1/5*c**2 = 0. Calculate c.
0, 1/2, 1
Let h(m) = -m**2. Let n(p) = 4*p**2 - 48*p + 288. Let b(g) = -2*h(g) - n(g). Find j, given that b(j) = 0.
12
Let s(r) be the second derivative of -r**4/3 + 2*r**2 + r. Determine b, given that s(b) = 0.
-1, 1
Let 32/7*a**2 + 16/7*a + 4/7*a**4 + 0 + 20/7*a**3 = 0. Calculate a.
-2, -1, 0
Let r = 278 + -2498/9. Suppose -2*f + 22/9*f**2 - 8/9*f**4 + r + 0*f**3 = 0. Calculate f.
-2, 1/2, 1
Let y(g) be the first derivative of -g**6/9 + 4*g**5/15 - 4*g**3/9 + g**2/3 + 12. Suppose y(k) = 0. Calculate k.
-1, 0, 1
Factor -3 - 109*p + 6*p**3 + 0*p**3 + 3*p**4 + 103*p.
3*(p - 1)*(p + 1)**3
Suppose -b = 3*b - 16. Let c(i) be the third derivative of 1/180*i**6 - 1/27*i**3 + 2*i**2 + 0*i + 1/108*i**b + 0 + 1/54*i**5. Factor c(q).
2*(q + 1)**2*(3*q - 1)/9
Let x = 345 + -339. Factor -8/3 - x*i**2 - 20/3*i - 7/3*i**3 - 1/3*i**4.
-(i + 1)*(i + 2)**3/3
Let y(v) be the second derivative of -v**8/2240 + v**7/280 - v**6/80 + v**5/40 + v**4/6 - v. Let l(d) be the third derivative of y(d). What is t in l(t) = 0?
1
Let o(y) be the second derivative of -2*y**6/15 + y**5/5 + y**4/4 - y**3/3 - y**2/2 + 14*y. Factor o(n).
-(n - 1)**2*(2*n + 1)**2
Let s(z) be the first derivative of -z**5/120 - z**4/24 + 3*z**2/2 - 2. Let v(o) be the second derivative of s(o). Factor v(h).
-h*(h + 2)/2
Let i(g) be the first derivative of -g**5 + 5*g**4 - 10*g**3 + 10*g**2 - 5*g - 15. Factor i(o).
-5*(o - 1)**4
What is r in -3*r**2 - 3*r**3 + 0 - 135/4*r**5 + 159/4*r**4 + 0*r = 0?
-2/9, 0, 2/5, 1
Let u(a) = -3*a + 3*a + 4*a**3 - 5 - 6*a**2 + 0*a**2. Let t(k) = -5*k**3 + 7*k**2 + 6. Let i(q) = 5*t(q) + 6*u(q). Find w such that i(w) = 0.
-1, 0
Let c(i) = -i**3 + 5*i**2 + 7*i - 3. Let l be c(6). Suppose 0 = -2*w + l*w - 3. Find z, given that 4/11 + 8/11*z**2 - 10/11*z - 2/11*z**w = 0.
1, 2
Let k(y) be the first derivative of 5*y**4/2 - 14*y**3/3 - 8*y**2 + 8*y + 6. Factor k(i).
2*(i - 2)*(i + 1)*(5*i - 2)
Let s(v) be the second derivative of -v**6/240 + v**5/40 - v**4/16 - 7*v**3/6 - 5*v. Let n(g) be the second derivative of s(g). Factor n(r).
-3*(r - 1)**2/2
Suppose 4*z + j = 3*z + 5, -5*z = 3*j - 15. Suppose -2*a + 0*a + 2 = z, -9 = -2*d - 5*a. Solve -4/3*b**d + 4/3*b - 1/3 = 0.
1/2
Let k(m) be the first derivative of -2/5*m**2 - 2/15*m**3 - 2/5*m + 7. Factor k(g).
-2*(g + 1)**2/5
Let u be 108/(-81) - 4/(-3). Factor u - 3/5*n**3 - 6/5*n + 9/5*n**2.
-3*n*(n - 2)*(n - 1)/5
Suppose -6*c - l + 25 = -4*c, -2*l - 2 = 0. Find k such that -36*k + 17*k**3 - 6*k**2 + c - 18*k**4 + 3*k**5 + 16*k**3 + 11 = 0.
-1, 1, 2
Solve 0*i + 12/7*i**3 + 0 + 8/7*i**2 + 6/7*i**4 + 1/7*i**5 = 0.
-2, 0
Let z = -4/5 + 13/10. Factor 0 - i**4 + i**2 + 0*i**3 + 1/2*i - z*i**5.
-i*(i - 1)*(i + 1)**3/2
Suppose -4*j + 7 + 1 = 0. Suppose -m = -5, 0 = 4*y - j*m - 9 + 3. Find l, given that -l**4 + l**5 + l**4 + 2*l**3 - 3*l**y - 3*l + 2*l**2 + 1 = 0.
-1, 1
Let t(h) be the third derivative of h**6/660 - h**5/330 - h**4/132 + h**3/33 - 12*h**2. What is z in t(z) = 0?
-1, 1
Let o(x) be the first derivative of 3*x**4/10 - 4*x**3/15 + 3. Factor o(n).
2*n**2*(3*n - 2)/5
Suppose 11 = 9*n - 7. Factor 1/4*i**n - 1/4 + 0*i.
(i - 1)*(i + 1)/4
Let g be (-24)/(-396)*(1 - -5). Let x be (-2)/3 - 600/(-495). Determine l, given that -4/11*l**3 + g*l**2 - 2/11*l**5 - x*l**4 + 6/11*l + 2/11 = 0.
-1, 1
Factor 19*k**2 + 3 - 8*k - 13*k**2 - 11 - 2*k**4 + 4*k**3.
-2*(k - 2)**2*(k + 1)**2
Let t be (21/(-14))/(3/(-8)). Solve -r**3 - r**5 - 6*r**3 - 5*r**4 + 0*r**5 - t*r**2 - r**3 = 0 for r.
-2, -1, 0
Let y(f) be the third deriv