4 + 0*b**3. What is d in t(d) = 0?
0
Let r be (1 - 8/(-9)) + 25 + -24. Determine f, given that 2/9*f**3 - 46/9*f**4 + 14/3*f**2 + 8/3*f**5 + 4/9 - r*f = 0.
-1, 1/4, 2/3, 1
Let y(x) be the third derivative of 0*x**4 + 0 + 0*x**6 + 0*x + 0*x**3 - 1/300*x**5 + 1/1050*x**7 + 6*x**2. Suppose y(z) = 0. What is z?
-1, 0, 1
Factor -6*d**3 - 9*d**2 + 47*d**2 + 250 + 11*d**3 + 22*d**2 + 225*d.
5*(d + 2)*(d + 5)**2
Let t be (1 + 6/(-10))*5. Suppose -t*k + 4*k = 0. Factor 2/3*n**5 + 0*n**3 + 0*n**2 + 0*n + k + 0*n**4.
2*n**5/3
Factor -25*c + 14 - 34 - 5*c**2 + 5*c.
-5*(c + 2)**2
Factor l**2 + 2/5*l**3 - l**4 + 0 - 2/5*l.
-l*(l - 1)*(l + 1)*(5*l - 2)/5
Let p(q) = 4*q**3 + 23*q**2 + 3*q + 3. Let s(i) = -4*i**3 - 22*i**2 - 2*i - 2. Let u(o) = 2*p(o) + 3*s(o). Factor u(w).
-4*w**2*(w + 5)
Factor -5*l**2 - l**2 + 0*l**2 + 9*l**2.
3*l**2
Let n(q) be the third derivative of q**8/70560 - q**6/2520 - q**5/15 + 4*q**2. Let f(r) be the third derivative of n(r). Solve f(z) = 0.
-1, 1
Let k(c) be the second derivative of -1/3*c**3 - 1/21*c**7 - 2/3*c**4 - 3/5*c**5 + 0 - 2*c + 0*c**2 - 4/15*c**6. Factor k(o).
-2*o*(o + 1)**4
Let i(r) be the second derivative of 2*r**7/7 + r**6/10 - 3*r**5/5 - r**4/4 - 10*r. Suppose i(b) = 0. What is b?
-1, -1/4, 0, 1
Let v(k) = k**2 + 5*k + 4. Suppose 0 = -2*g + 6*g - 2*c + 20, -5*g = 4*c + 12. Let i be v(g). Factor i + 0*a**2 - 9/4*a**4 + 0*a + 3/4*a**3.
-3*a**3*(3*a - 1)/4
Let f = -525 + 2633/5. Determine i, given that -44/5*i**2 + 0 + f*i = 0.
0, 2/11
Let n(b) be the second derivative of 0*b**3 - 1/5*b**6 - 1/6*b**4 + 1/21*b**7 + 0*b**2 + 0 - 2*b + 3/10*b**5. Let n(v) = 0. What is v?
0, 1
Let u(n) = n**2 + n - 1. Let v = 2 - 3. Let d(b) be the third derivative of 2*b**5/15 - b**4/12 + b**3/3 + 4*b**2. Let w(p) = v*d(p) + 6*u(p). Factor w(g).
-2*(g - 2)**2
Factor -7*a**5 + 44*a**4 + 50*a**4 - 96*a**4.
-a**4*(7*a + 2)
Let p(u) be the second derivative of u**8/560 + u**7/140 + u**6/120 + 5*u**3/6 + 4*u. Let c(b) be the second derivative of p(b). Factor c(s).
3*s**2*(s + 1)**2
Factor 4 + 36*y**2 - 20*y**3 + 2 + 5*y**3 - 18*y - 9*y.
-3*(y - 1)**2*(5*y - 2)
Let n be ((-13)/156)/((-2)/6). Factor 1/4 + 1/4*b - n*b**3 - 1/4*b**2.
-(b - 1)*(b + 1)**2/4
Let f = -8 - -11. Suppose -3*n = -w - 9, 3*n - f*w - 9 = -7*w. Let n*i + 0*i + 2 + 2*i**2 + i = 0. Calculate i.
-1
What is i in -32*i - 4*i**5 + 28*i**4 - 50*i**3 - 22*i**3 + 82*i**2 - 2*i**2 = 0?
0, 1, 2
Let b(a) be the second derivative of 1/72*a**4 - 2/3*a**3 + 1/1080*a**6 + 0*a**2 + 0 - a + 1/180*a**5. Let j(g) be the second derivative of b(g). Factor j(q).
(q + 1)**2/3
Factor 0 - 8/3*r**2 + 0*r**4 + 2*r**3 + r - 1/3*r**5.
-r*(r - 1)**3*(r + 3)/3
Factor 3*w + 4*w - 12*w**4 + 5*w + 4 + 8*w**2 - 4*w**5 - 8*w**3.
-4*(w - 1)*(w + 1)**4
Let j(b) be the first derivative of b**6/24 + b**5/20 - b**4/8 - b**3/6 + b**2/8 + b/4 - 3. Determine m so that j(m) = 0.
-1, 1
Let f(j) be the first derivative of -j**3 + 21*j**2/2 - 18*j + 23. Determine i, given that f(i) = 0.
1, 6
Let i(g) be the third derivative of -g**6/40 + g**5/12 + g**4/12 + 13*g**2. Let i(s) = 0. What is s?
-1/3, 0, 2
Let p be 0/(7 + -2 - 9). Factor 0*n + 4/7*n**3 - 2/7*n**4 + 0*n**2 + p.
-2*n**3*(n - 2)/7
Let v(d) = -8*d**3 - d**2 - 8*d. Let h = -29 - -23. Let f(t) = -9*t**3 - 9*t. Let p(a) = h*v(a) + 5*f(a). Factor p(i).
3*i*(i + 1)**2
Let x(t) be the first derivative of -t**4/4 + t**2/2 - 6. Factor x(b).
-b*(b - 1)*(b + 1)
Let s = -28 + 34. Let b(p) be the third derivative of 0*p**5 + 1/120*p**s - 2*p**2 + 1/12*p**3 + 0*p - 1/420*p**7 + 0 - 1/24*p**4. Solve b(m) = 0 for m.
-1, 1
Suppose -3*v + 0*v = 9. Let z = -1 - v. Factor -2 + z - o**3 + o**5.
o**3*(o - 1)*(o + 1)
Suppose 3*m + 24/7*m**2 - 6/7*m**4 + 6/7*m**3 + 6/7 - 3/7*m**5 = 0. Calculate m.
-1, 2
Let c(i) = -9*i**3 + 11*i**2 + 4*i - 24. Let s(y) = -17*y**3 + 23*y**2 + 7*y - 47. Let w(d) = 7*c(d) - 4*s(d). Determine o, given that w(o) = 0.
-1, 2
Let i(o) = -o**4 - o. Let j = 5 - 3. Let h(a) = 9*a**4 + 11*a + 0*a**3 + j*a**3 + a**2 + 3*a**4. Let k(t) = -2*h(t) - 22*i(t). Let k(n) = 0. Calculate n.
-1, 0
Let x(n) be the third derivative of -1/15*n**5 + 0*n**3 + 0*n + 0 + n**2 + 0*n**4 - 1/60*n**6. Solve x(u) = 0.
-2, 0
Let f(y) be the first derivative of -7 + 3*y**3 - 3/8*y**4 - 9*y**2 + 12*y. What is k in f(k) = 0?
2
Let z(o) be the second derivative of o**4/12 - o**3/6 - o**2 - 7*o. Factor z(w).
(w - 2)*(w + 1)
Let -32*v - v**2 + 0*v**2 - 28 - 2*v**2 - v**2 = 0. What is v?
-7, -1
Let m(n) be the second derivative of n**4/60 - n**3/15 + n**2/10 - 10*n. Factor m(i).
(i - 1)**2/5
Let b = -608/21 - -29. Let z(r) be the second derivative of b*r**3 + 0 - 1/42*r**4 - r + 0*r**2. Suppose z(n) = 0. Calculate n.
0, 1
Suppose 25 = 3*l + 2*l. Factor -2 + 2*m**3 + 0*m + 2*m + 2 - l*m**2.
m*(m - 2)*(2*m - 1)
Factor 71*c**2 - 2*c**4 - 33*c**2 - 2*c**3 - 38*c**2.
-2*c**3*(c + 1)
Let a be 1/8 + (-49)/(-56). Let b be a/((45/(-10))/(-9)). Factor 0 + 0*y**b + 1/2*y**3 - 1/2*y.
y*(y - 1)*(y + 1)/2
Let v = 21/5 - 4. Factor 1/5 + v*f**2 - 2/5*f.
(f - 1)**2/5
Suppose 5*w + 2*j + 34 = -2*j, -4*j - 28 = 4*w. Let s be (-2)/(3*w/27). Factor 0*h**2 + 1/3*h**5 + 1/3*h**s - 2/3*h**4 + 0*h + 0.
h**3*(h - 1)**2/3
Factor -1685*z - 3 - 8*z**2 - 13 + 1657*z + 4*z**3.
4*(z - 4)*(z + 1)**2
Let w(f) be the second derivative of f**6/40 + 3*f**5/40 - 7*f**4/16 + f**3/2 + f + 31. Suppose w(r) = 0. What is r?
-4, 0, 1
Let f(t) be the first derivative of t**4/20 + t**3/5 + 3*t**2/10 + t/5 - 10. Factor f(x).
(x + 1)**3/5
Let j(p) = p + 1. Let o(i) = -i**2 + 6*i + 9. Let s(l) = -10*j(l) + 2*o(l). Let z(k) = -k**2 - k + 1. Let u(m) = -s(m) + 4*z(m). Find t, given that u(t) = 0.
-2, -1
Let u be (5*(-10)/(-450))/(1/2). Solve -u*p**2 + 0*p - 4/3*p**3 - 8/9*p**5 - 2*p**4 + 0 = 0.
-1, -1/4, 0
Suppose -4*l - 3 = y + 2*y, -4*l + 32 = -4*y. Find m such that -3*m - 1 + m**2 + 7*m - 1 - l*m = 0.
-2, 1
Let r(p) = -4*p**4 - 12*p**3 + 30*p**2 - 26*p + 12. Let g(c) = 3*c**4 + 12*c**3 - 29*c**2 + 25*c - 11. Let u(y) = -6*g(y) - 5*r(y). Solve u(z) = 0.
1, 3
Let n = 80 + -479/6. Factor 0 + 1/6*i + n*i**2.
i*(i + 1)/6
Let u be (-12)/(32/44 - 2). Let -30/7*k - 4/7 - 40/7*k**3 - u*k**2 = 0. What is k?
-1, -2/5, -1/4
Let l be 24/14 - (-16)/56. Let q(h) = h**2 - 2. Let i be q(l). Let i*b - 10/7*b**2 - 4/7 = 0. Calculate b.
2/5, 1
Let t(p) be the first derivative of 3*p**5/10 + 9*p**4/16 + p**3/4 + 5. What is k in t(k) = 0?
-1, -1/2, 0
Let c(f) be the second derivative of -f**7/56 + 3*f**6/40 - 9*f**5/80 + f**4/16 + 2*f. Factor c(z).
-3*z**2*(z - 1)**3/4
Suppose -45*z + 51*z = 0. Let n(r) be the second derivative of -r**2 + 1/3*r**4 + 0*r**3 + z + 3*r - 1/15*r**6 + 0*r**5. Suppose n(a) = 0. What is a?
-1, 1
Let v(s) be the second derivative of -s**4/36 + 7*s**3/18 + 4*s**2/3 - s + 7. Factor v(f).
-(f - 8)*(f + 1)/3
Let x = -2/57 - -7/19. Factor -x*i**5 + 0*i**2 + 2/3*i**3 + 0 - 1/3*i + 0*i**4.
-i*(i - 1)**2*(i + 1)**2/3
Find s, given that 4/5*s**2 + 32/5*s + 0 = 0.
-8, 0
Let o(l) be the first derivative of -1/3*l**3 - 3/10*l**2 + 9/5*l - 1/20*l**4 + 3. Find s such that o(s) = 0.
-3, 1
Factor -30*i**3 + 8*i**2 + 3*i + 32*i**3 + i + 4*i.
2*i*(i + 2)**2
Let u(i) be the first derivative of i**5/15 - i**4/4 + i**3/9 + i**2/2 - 2*i/3 + 16. Solve u(t) = 0.
-1, 1, 2
Let y(m) be the third derivative of 0*m + 1/350*m**7 + 9/100*m**5 + 1/5*m**3 + 0 + 1/40*m**6 + 2*m**2 + 7/40*m**4. Factor y(v).
3*(v + 1)**3*(v + 2)/5
Let r(n) be the second derivative of 1/3*n**3 + 2*n**2 - 4*n - 1/6*n**4 + 0. Factor r(h).
-2*(h - 2)*(h + 1)
Let f(v) be the first derivative of v**8/672 - v**6/120 + v**4/48 - v**2/2 + 2. Let t(d) be the second derivative of f(d). Factor t(q).
q*(q - 1)**2*(q + 1)**2/2
Let b(h) be the second derivative of h**5/70 - h**4/14 + 4*h**2/7 + h. Factor b(q).
2*(q - 2)**2*(q + 1)/7
Let m(d) be the first derivative of d**6/288 - d**5/60 - d**4/24 + 2*d**3/3 - 2. Let y(k) be the third derivative of m(k). Factor y(h).
(h - 2)*(5*h + 2)/4
Let c be 2/5 + 6/(-40). Factor f**2 - 3/2*f**3 - c*f + f**4 + 0 - 1/4*f**5.
-f*(f - 1)**4/4
Let t = -484 + 4358/9. Find p such that t*p**2 + 0 + 2/9*p**3 - 2/9*p - 2/9*p**4 = 0.
-1, 0, 1
Suppose 0*d - 2*d = 0. Factor h**5 + d*h**5 - 2*h**5 + h**3.
-h**3*(h - 1)*(h + 1)
Let s(u) = -13*u**2 + 17*u - 4. Suppose 3*q - 1 =