f 1/12*u**3 - 6*u - 1/40*u**5 + 0*u**4 + 0 + 0*u**2. Suppose r(x) = 0. Calculate x.
-1, 0, 1
Let q be (-4)/((9/(-3))/3). Suppose -s = -q*s + 9. Factor 1/3*m**5 + 0*m + 0 - 1/3*m**s + 1/3*m**2 - 1/3*m**4.
m**2*(m - 1)**2*(m + 1)/3
Let i(f) be the second derivative of f**9/756 - f**7/210 + 7*f**3/6 - 2*f. Let q(y) be the second derivative of i(y). What is s in q(s) = 0?
-1, 0, 1
Let w be (-6 - (-74)/14) + 1. Factor -2/7*c + 2/7*c**3 - 2/7 + w*c**2.
2*(c - 1)*(c + 1)**2/7
Let y(r) be the second derivative of -r**5/30 - r**4/2 - 3*r**3 + 3*r**2/2 + 2*r. Let n(p) be the first derivative of y(p). Factor n(f).
-2*(f + 3)**2
Let x(p) be the third derivative of 1/20*p**6 + 0*p - 1/2*p**3 + 0 - 1/4*p**5 + 1/2*p**4 + 4*p**2. Find t such that x(t) = 0.
1/2, 1
Let t(g) = -g**3 - 2*g**2 + 11*g + 8. Let o(n) = -4*n**3 - 11*n**2 + 56*n + 41. Let v(f) = 2*o(f) - 11*t(f). Factor v(p).
3*(p - 2)*(p + 1)**2
Let y(m) be the first derivative of -3*m**4/8 - 3*m**3/2 + 3*m**2/4 + 9*m/2 + 17. Factor y(d).
-3*(d - 1)*(d + 1)*(d + 3)/2
Factor 8/9*h**2 + 2/9*h**3 + 4/9 + 10/9*h.
2*(h + 1)**2*(h + 2)/9
Let w(k) be the third derivative of k**7/420 + k**6/90 + k**5/60 + k**3/2 + k**2. Let i(n) be the first derivative of w(n). Factor i(t).
2*t*(t + 1)**2
Let k be ((-3)/((-12)/8))/(187/85). Suppose -20/11*y**2 - k*y - 2/11 - 20/11*y**3 - 10/11*y**4 - 2/11*y**5 = 0. What is y?
-1
Suppose k = -4*h + 115, -2 - 28 = -h + k. Factor 15 + 15 - l**2 - h.
-(l - 1)*(l + 1)
Let h(t) be the first derivative of -2*t**5/25 - t**4/10 + 8*t**3/15 + 4*t**2/5 + 57. Find q, given that h(q) = 0.
-2, -1, 0, 2
Let l(f) = -2*f**3 + 2*f. Let s(d) = d**3 - d**2 - 2*d. Suppose 16 = -4*o - 0*o. Let t(u) = o*s(u) - 3*l(u). Factor t(j).
2*j*(j + 1)**2
Let v(a) be the first derivative of -a**4/10 + 4*a**3/5 - 12*a**2/5 + 16*a/5 - 8. Factor v(z).
-2*(z - 2)**3/5
Let g(k) be the third derivative of 1/840*k**8 - 5*k**2 + 0*k**4 + 1/100*k**6 + 0*k + 1/150*k**5 + 0 + 1/175*k**7 + 0*k**3. Determine h, given that g(h) = 0.
-1, 0
Suppose -15 = -5*l + 5. Let y(b) = 5*b**4 - b**2 + 4. Let d(h) be the first derivative of h**5/5 + h + 1. Let a(w) = l*d(w) - y(w). Factor a(g).
-g**2*(g - 1)*(g + 1)
Factor 1/3*a**2 + 7/3*a + 2.
(a + 1)*(a + 6)/3
Let j(u) be the first derivative of u**5/5 + u**4 - u**3/3 - 2*u**2 + 57. Factor j(r).
r*(r - 1)*(r + 1)*(r + 4)
Let f(v) be the third derivative of 0 + 1/60*v**4 + 0*v + 2/15*v**3 - 1/150*v**5 + 2*v**2. Determine c so that f(c) = 0.
-1, 2
Factor 2/5 - 2/5*f - 2/5*f**2 + 2/5*f**3.
2*(f - 1)**2*(f + 1)/5
Let n be 36/10*(-4)/((-36)/15). Factor 0*z + 3/2*z**3 - 9/2*z**2 + n.
3*(z - 2)**2*(z + 1)/2
Let 8/7 + 32/7*c + 2*c**2 = 0. Calculate c.
-2, -2/7
Find s such that 0 + 4 - 2*s**3 - 5*s**2 + 0*s + 2*s + s**2 = 0.
-2, -1, 1
Suppose 5*p - 20 = -5*p. Factor -1/3 + 2/3*m - 1/3*m**p.
-(m - 1)**2/3
Factor 2/7*u**2 + 0 - 1/7*u**3 + 0*u.
-u**2*(u - 2)/7
Let c(p) be the third derivative of 1/3*p**3 + 0*p + p**2 - 2/15*p**5 + 2/3*p**6 + 0 - 11/24*p**4. Factor c(v).
(4*v - 1)**2*(5*v + 2)
Suppose 4*r + 5*p + 10 = -0*r, -p = 4*r + 2. Let v(f) be the third derivative of r - 2/15*f**3 - f**2 + 0*f - 1/60*f**4 + 1/150*f**5. Factor v(b).
2*(b - 2)*(b + 1)/5
Let t(c) = c**3 - 10*c**2 - 2*c + 22. Let z be t(10). Solve 2/3*w**z + 0 + 2/9*w**4 - 2/9*w - 2/3*w**3 = 0 for w.
0, 1
Suppose -3*q + 3*d + 21 = 0, 2*q + d = 1 + 1. Suppose 0 - 2/9*o - 4/9*o**2 - 2/9*o**q = 0. Calculate o.
-1, 0
Let j(y) be the third derivative of -y**5/30 + y**4/24 + 7*y**2. Suppose j(p) = 0. Calculate p.
0, 1/2
Factor 1/9*g + 1/9*g**2 + 0.
g*(g + 1)/9
Let n(s) be the second derivative of -s**4/4 + s**3 - 3*s**2/2 + 6*s. Factor n(o).
-3*(o - 1)**2
Let c(f) = f**2 + f - 1. Let r(d) = 11*d**2 + 21*d - 26. Let j(i) = 6*c(i) - r(i). Factor j(q).
-5*(q - 1)*(q + 4)
Let l(y) be the first derivative of -3*y**4/20 + 4*y**3 - 30*y**2 - 53. Factor l(h).
-3*h*(h - 10)**2/5
Let h(a) be the second derivative of -a**7/210 - a**6/50 - a**5/50 + a**4/30 + a**3/10 + a**2/10 - 3*a. Let h(v) = 0. What is v?
-1, 1
Let l(j) be the third derivative of j**8/1176 - 2*j**7/735 + j**6/420 + 16*j**2. Suppose l(g) = 0. Calculate g.
0, 1
Factor -8/3*q + 2/3*q**3 + 2/3*q**5 - 20/3*q**2 + 8/3*q**4 + 16/3.
2*(q - 1)**2*(q + 2)**3/3
Let f be (1/3)/((-14)/(-84)). Factor -1/4*d**4 + 1/4*d**f + 1/2*d**3 - 1/2*d + 0.
-d*(d - 2)*(d - 1)*(d + 1)/4
Let j(s) be the first derivative of -25*s**4/4 + 80*s**3/3 + 38*s**2 + 16*s + 19. Solve j(r) = 0 for r.
-2/5, 4
Let y(f) be the first derivative of -36*f**5 + 77*f**4 - 68*f**3/3 - 34*f**2 + 8*f - 11. Find i such that y(i) = 0.
-2/5, 1/9, 1
Let g be ((-16)/30)/(8/(-20)). Let q(i) be the first derivative of -2*i - 3 + g*i**3 + i**2. Solve q(b) = 0 for b.
-1, 1/2
Let g(z) = -7*z - 4 - z**2 + 0 - 3*z - 4. Let q be g(-9). Find c such that 1 - 4 + 0 - 2*c**2 + 6*c - q = 0.
1, 2
Suppose 4 = 4*a - 2*a. Find s, given that -9*s + 1 + 2*s + 5*s + s**a = 0.
1
Let i(k) be the third derivative of -7*k**5/180 - 2*k**4/9 - 2*k**3/9 - 9*k**2. Factor i(q).
-(q + 2)*(7*q + 2)/3
Let b(n) be the second derivative of 2*n + 0 + 1/273*n**7 + 0*n**5 + 0*n**2 + 0*n**3 + 2/195*n**6 + 0*n**4. Find a such that b(a) = 0.
-2, 0
Let i be (-28)/12*24/(-252). Suppose -2/9*b + 2/9*b**2 + i*b**3 - 2/9 = 0. What is b?
-1, 1
Factor 0 - 13/3*m**3 + 4*m**2 - 1/3*m**5 + 2*m**4 - 4/3*m.
-m*(m - 2)**2*(m - 1)**2/3
Suppose -3*d - d + 2*m = 36, d + 14 = -2*m. Let t(y) = -14*y**2 + 35*y + 9. Let r(u) = 42*u**2 - 104*u - 26. Let n(p) = d*t(p) - 3*r(p). Factor n(s).
2*(s - 3)*(7*s + 2)
Let s(x) be the third derivative of -1/2*x**3 + 7/1440*x**6 - 1/48*x**4 + 0*x + 1/96*x**5 + 0 - 3*x**2. Let n(g) be the first derivative of s(g). Factor n(i).
(i + 1)*(7*i - 2)/4
Let c = -153 - -155. Factor -2 + c*j - 1/2*j**2.
-(j - 2)**2/2
Let u(y) = 1. Let h(j) = -j**2 + 8*j - 19. Let s = -10 + 13. Let i(w) = s*u(w) + h(w). Factor i(o).
-(o - 4)**2
Let 3/2*r**2 + 0 - 1/2*r + 1/2*r**4 - 3/2*r**3 = 0. What is r?
0, 1
Let r = 17/15 - -83/165. Determine t so that 4/11*t**2 + 12/11*t**4 + 40/11*t - 16/11 + r*t**5 - 58/11*t**3 = 0.
-2, -1, 2/3, 1
Let h = -508609/4 + 25958183/204. Let c = h - -350/17. Factor c*t**4 + 637/3*t**3 + 92/3*t + 8/3 + 126*t**2.
(t + 1)*(7*t + 2)**3/3
Let n = 8585 - 3030507/353. Let z = 2810/2471 - n. Determine t so that -2/7*t**2 + 8/7*t - z = 0.
2
Let x(o) be the second derivative of -o**8/5040 - o**7/1260 + o**6/1080 + o**5/180 + o**3/6 + 4*o. Let r(k) be the second derivative of x(k). Factor r(h).
-h*(h - 1)*(h + 1)*(h + 2)/3
Let j be 2/7 - 17/84. Let a(y) be the third derivative of 0 - j*y**4 + y**2 + 0*y**3 + 0*y + 1/60*y**5. Find b, given that a(b) = 0.
0, 2
Let x be (4/(-5))/((-6)/30). Factor -2*j**2 + j**2 - 2*j + j**x + j**3 + j.
j*(j - 1)*(j + 1)**2
Let z(p) = -2*p + 1. Let l be z(-1). Solve -s**3 - s**l - s**2 - s**2 + 2*s**4 + 2*s + 0*s**2 = 0 for s.
-1, 0, 1
Let r(o) = -8*o**3 + 8*o**2 - 4*o - 4. Let l(c) = 7*c**3 - 9*c**2 + 5*c + 3. Let i(y) = 4*l(y) + 3*r(y). Find z, given that i(z) = 0.
0, 1, 2
Let v(n) be the first derivative of -5/12*n**4 + 2/9*n**3 + 0*n + 4 + 0*n**2. Factor v(s).
-s**2*(5*s - 2)/3
Let s = 4021/3220 - -1/805. Let 5/4*w**2 + 0*w + 0 - s*w**3 = 0. Calculate w.
0, 1
Let d(i) be the first derivative of -1/16*i**4 - 1/12*i**3 + 0*i**2 + 0*i - 1 + 1/20*i**5 + 1/24*i**6. Factor d(h).
h**2*(h - 1)*(h + 1)**2/4
Let v = -1 - -5. Solve -v*l**4 - 1/2*l + 3*l**3 + 3/2*l**5 + 0*l**2 + 0 = 0 for l.
-1/3, 0, 1
Solve 3 - 3/7*q**2 - 18/7*q = 0.
-7, 1
Suppose 0 = 6*a - 7*a. Suppose 0 = -a*d - 4*d. Suppose -1/2*i**3 + 0 + d*i + 0*i**2 - 1/2*i**4 = 0. What is i?
-1, 0
Let u(v) be the second derivative of -v**7/14 - v**6/10 + 15*v. Solve u(w) = 0.
-1, 0
Let r(t) be the first derivative of 44/21*t**3 + 3 - 2*t**4 + 34/35*t**5 + 2/7*t - 4/21*t**6 - 8/7*t**2. Factor r(u).
-2*(u - 1)**4*(4*u - 1)/7
Determine p, given that 0 + 0*p**3 + 3/7*p**4 + 0*p**2 + 0*p = 0.
0
Let w be ((-2)/(-8)*(-3)/2)/(-3). Factor w*r**2 + 1/2*r + 3/8.
(r + 1)*(r + 3)/8
Let v(o) = -11*o**4 + 29*o**3 - 24*o**2 - 5*o. Let y(t) = -5*t**4 + 14*t**3 - 12*t**2 - 2*t. Let d(p) = -2*v(p) + 5*y(p). Suppose d(j) = 0. What is j?
0, 2
Let k(z) = -z**2 - z + 2. Let d(l) be the second derivative of -l**5/20 + l**2/2 + l. Let h(f) = d(f) - k(f). Factor h(v).
-(v - 1)**2*(v + 1)
Let l = -3