y**3/6 + y**2 - 33. What is d in l(d) = 0?
0, 1, 4
Let k be (-7)/(-2) + -2 - (-4)/(-4). Factor -x**2 + 1/2 + k*x**4 + 0*x + 0*x**3.
(x - 1)**2*(x + 1)**2/2
Factor 1/3*n + 1/3*n**2 - 2/3.
(n - 1)*(n + 2)/3
Factor -4/5*l**2 + 4/5*l**4 + 0*l + 0*l**3 + 0.
4*l**2*(l - 1)*(l + 1)/5
Suppose 2*b + 0*s = 3*s + 8, b - 4 = 5*s. Factor 0 + 2/5*g + 6/5*g**3 + 2/5*g**b + 6/5*g**2.
2*g*(g + 1)**3/5
Let f(v) be the first derivative of -v**3/6 + 2*v**2/3 - 2*v/3 + 1. Factor f(h).
-(h - 2)*(3*h - 2)/6
Let f(b) be the first derivative of -2*b**5/15 + 7*b**4/12 - b**3 + 5*b**2/6 - b/3 + 8. Suppose f(i) = 0. Calculate i.
1/2, 1
Let v be (-3)/(0 + 3 - 2). Let m(k) = 2*k + 6. Let t be m(v). Determine d, given that -2/7*d**4 + t + 2/7*d**3 - 2/7*d + 2/7*d**2 = 0.
-1, 0, 1
Factor -1/2 + 1/2*n - 1/2*n**4 + n**2 - n**3 + 1/2*n**5.
(n - 1)**3*(n + 1)**2/2
Let n(b) be the first derivative of b**6/300 + 2*b**5/75 + b**4/15 - b**2/2 + 3. Let o(y) be the second derivative of n(y). Determine p, given that o(p) = 0.
-2, 0
Let m(g) be the second derivative of -g**4 + 0 + 1/15*g**6 + 8*g**2 + 9*g - 4/3*g**3 + 1/10*g**5. Let m(s) = 0. Calculate s.
-2, 1, 2
Let f(u) be the third derivative of u**7/42 + u**6/12 - u**5/12 - 5*u**4/12 + 12*u**2. Factor f(j).
5*j*(j - 1)*(j + 1)*(j + 2)
Let j(z) be the second derivative of 0*z**2 + 4*z + 0 - 1/40*z**5 + 1/12*z**4 - 1/12*z**3. Determine u, given that j(u) = 0.
0, 1
What is n in 3/5*n**2 - 1/5*n**3 + 0 - 2/5*n = 0?
0, 1, 2
Let z(n) be the first derivative of n**5/30 + n**4/6 + n**3/3 - 3*n**2/2 - 2. Let u(b) be the second derivative of z(b). Factor u(m).
2*(m + 1)**2
Let x(b) = b**4 + b**3 - b + 1. Let v(y) = y**5 - 3*y**4 - 5*y**3 + 4*y - 3. Let m(g) = -v(g) - 3*x(g). Factor m(j).
-j*(j - 1)**2*(j + 1)**2
Let n(h) = 10*h**3 + 25*h**2 + 25*h - 5. Let y(s) = s**3 + s**2 + s - 1. Let k(u) = n(u) - 5*y(u). What is c in k(c) = 0?
-2, 0
Let m(y) be the first derivative of -27*y**5/20 + 9*y**4/2 - 6*y**3 + 4*y**2 + 3*y + 2. Let j(s) be the first derivative of m(s). Solve j(v) = 0.
2/3
Let y(a) = 8 - 4*a**2 - 2*a + 6*a**2 + 4*a + 6*a. Let b(j) = j**2 + 4*j + 4. Let x(w) = -5*b(w) + 2*y(w). Find o, given that x(o) = 0.
-2
Let k be 159/5 + 9/45. Let 794/5*p**3 - 418/5*p**2 - 624/5*p**4 + 96/5*p + k*p**5 - 8/5 = 0. What is p?
1/4, 2/5, 1, 2
Let w be ((-2)/(-4))/((-3)/(-54)*3). Let b(s) = s**3 + 5*s**2 + 2. Let f be b(-5). Suppose -4*z**w + z**2 - f*z**4 - z**2 = 0. Calculate z.
-2, 0
Let q(y) be the first derivative of -y**5/30 + 3*y**4/28 - 2*y**3/21 - 3*y**2/2 + 4. Let n(d) be the second derivative of q(d). Solve n(p) = 0.
2/7, 1
Let g(s) = -s**2 - 6*s - 3. Let w be g(-2). Let f(d) be the second derivative of 1/50*d**w + 0*d**4 + 0 + 0*d**2 + d + 0*d**3. Factor f(a).
2*a**3/5
What is i in 12/13*i**3 + 0 + 2/13*i**5 + 14/13*i**4 - 64/13*i - 64/13*i**2 = 0?
-4, -1, 0, 2
Let f(y) be the third derivative of y**2 + 0 + 0*y**6 - 1/105*y**7 + 0*y**4 + 1/30*y**5 + 0*y + 0*y**3. Let f(p) = 0. What is p?
-1, 0, 1
Let n be (-8)/(-3) - (-2)/(-2). Suppose 0 = j + 3, -2*j - 11 + 1 = -2*l. Let 1/3*o**3 + 2/3*o + n*o**4 + 0 - o**5 - 5/3*o**l = 0. Calculate o.
-1, 0, 2/3, 1
Factor 19*n**5 - 18*n**5 - 3*n + n**2 - n**4 + 5*n - 3*n**3.
n*(n - 2)*(n - 1)*(n + 1)**2
Let y(p) = -p**2 + 9*p - 5. Let b(v) = -4*v + 2. Let l(t) = 5*b(t) + 2*y(t). Factor l(k).
-2*k*(k + 1)
Let d(y) be the first derivative of 1/24*y**4 - 1/12*y**2 + 1/6*y - 1/18*y**3 + 4. Factor d(s).
(s - 1)**2*(s + 1)/6
Let n(f) = -f - 3 + 2 + 6*f. Let u be n(-2). Let w(z) = 17*z**2 - 13*z + 24. Let y(s) = -6*s**2 + 4*s - 8. Let g(l) = u*y(l) - 4*w(l). Factor g(c).
-2*(c - 2)**2
Let z(x) be the first derivative of 0*x - 1/3*x**3 - 3/5*x**5 + 3 + 5/4*x**4 - 1/2*x**2. Factor z(h).
-h*(h - 1)**2*(3*h + 1)
Let y(s) be the third derivative of -s**8/1008 + s**7/630 + s**6/180 - s**5/90 - s**4/72 + s**3/18 + 20*s**2. Factor y(q).
-(q - 1)**3*(q + 1)**2/3
Let o(z) be the second derivative of 14*z**6/15 - 11*z**5/10 - 2*z**4 + 11*z**3/3 - 2*z**2 + 13*z. Let o(y) = 0. What is y?
-1, 2/7, 1/2, 1
Factor 4/3*s - 2/3 - 2/3*s**2.
-2*(s - 1)**2/3
Let j(b) be the third derivative of -b**6/30 + b**4/6 + 3*b**2. Suppose j(l) = 0. What is l?
-1, 0, 1
Let m(c) be the first derivative of -8*c**3/3 - 2*c**2 - 7. Factor m(d).
-4*d*(2*d + 1)
Suppose 3*a = -5*w + 198, -2*w + a = -16 - 72. Let -6*z**3 + 2*z**2 + w - 42 + 4*z = 0. Calculate z.
-2/3, 0, 1
Let l be -4*(-1)/9 + (-6)/(-27). Determine f, given that 0 + 0*f + l*f**2 = 0.
0
Let a = -58/9 - -317/45. Determine q, given that 0*q - 12/5*q**2 + 0 - 24/5*q**3 - 3*q**4 - a*q**5 = 0.
-2, -1, 0
Let t(a) be the second derivative of 0 + 3*a + 2*a**2 - 2/3*a**3 + 1/12*a**4. Factor t(x).
(x - 2)**2
Let n(t) be the third derivative of t**8/630 - t**7/126 + t**6/60 - 7*t**5/360 + t**4/72 - t**3/6 + t**2. Let a(b) be the first derivative of n(b). Factor a(g).
(g - 1)*(2*g - 1)**3/3
Let w be (-8)/2 + 21 + 2. Let r = 23 - w. Suppose 1/5*y**3 + 0 - 1/5*y**2 + 1/5*y**r - 1/5*y = 0. Calculate y.
-1, 0, 1
Let p(t) = 6 + t**3 - 3*t**4 - 9*t**2 + 12*t - 7*t**3 + 10*t**4 + 6. Let h(g) = g**4. Let b(k) = -4*h(k) + p(k). What is x in b(x) = 0?
-1, 2
Factor 3*q**3 - 5*q**5 + 10*q**2 - 2*q**4 + 22*q**4 - 21*q**3 - 7*q**3.
-5*q**2*(q - 2)*(q - 1)**2
Let z(b) be the third derivative of -b**6/300 - 2*b**5/75 - b**4/12 - 2*b**3/15 + 5*b**2. Factor z(l).
-2*(l + 1)**2*(l + 2)/5
Let s be -4 + (-193)/144*-3. Let u(k) be the second derivative of 1/16*k**5 - 5/24*k**3 + 0 + s*k**4 - 1/8*k**2 - 3*k. Factor u(a).
(a - 1)*(a + 1)*(5*a + 1)/4
Let d(s) be the second derivative of -s**8/560 - 3*s**7/140 - s**6/10 - s**5/5 - 2*s**3/3 + s. Let x(f) be the second derivative of d(f). Factor x(t).
-3*t*(t + 2)**3
Suppose q + 5*l + 5 = 0, 0 = -2*q - 0*q + l - 10. Let s(g) = g**3 + 4*g**2 - 6*g - 5. Let p be s(q). Factor 2/7*b**2 + 2/7*b**4 + 4/7*b**3 + 0 + p*b.
2*b**2*(b + 1)**2/7
Solve -8/5 - 32/5*w + 10*w**3 - 2*w**2 = 0.
-2/5, 1
Let d(g) be the second derivative of -g**4/32 + g**3/8 - 3*g**2/16 - 12*g. Suppose d(t) = 0. Calculate t.
1
Let l(a) be the second derivative of -1/2*a**3 + 3/20*a**5 + 0 - 1/4*a**4 + 3/2*a**2 + 3*a. Determine t, given that l(t) = 0.
-1, 1
Factor 4/7 + 5/7*f + 1/7*f**2.
(f + 1)*(f + 4)/7
Let x = 4 + -3. Let c = 5 - x. Solve -8/3*p**c + 2/3*p + 8/3*p**2 - 2/3*p**3 + 0 = 0.
-1, -1/4, 0, 1
Let u = -1326 + 1331. Factor -2/3*i**u + 32/3*i**2 - 28/3*i**3 + 4/3 - 6*i + 4*i**4.
-2*(i - 2)*(i - 1)**4/3
Let c(f) = -f. Let i be c(-2). Let n be 1 + 0 + 1/i. Find h, given that -1/2*h**4 - n*h**3 + 1/2*h**5 + 0 - h + 5/2*h**2 = 0.
-2, 0, 1
Suppose 4*j + u - 11 = 4, u = -3*j + 11. What is f in 6*f**4 - 2*f**5 - 4*f**2 - 2*f**3 + 2*f**3 + 8*f - 2 - 2*f - j*f**3 = 0?
-1, 1
Suppose -9 = -5*o + 3*u, -5*u = 3*o - 8*u - 9. Let b(x) = x - 2. Let q be b(4). Factor o*j**q - 1/3*j**3 + j + 2/3.
-(j - 2)*(j + 1)**2/3
Let k(f) be the first derivative of -2/3*f + 2 - 5/6*f**2 - 1/12*f**4 - 4/9*f**3. Factor k(p).
-(p + 1)**2*(p + 2)/3
Let s(c) = -5*c**2. Let k be s(1). Let y = 9 + k. Find p such that 2*p**5 + 3*p**4 - 2*p - y*p**2 + 0*p + p**4 = 0.
-1, 0, 1
Let c(q) be the third derivative of q**8/784 + q**7/490 - q**6/140 - q**5/70 + q**4/56 + q**3/14 - 19*q**2. Factor c(n).
3*(n - 1)**2*(n + 1)**3/7
Suppose 5*r - 84 = 2*u, 0*r - 5*r = -3*u - 86. Let d be (r/12)/((-20)/(-6)). Factor 0 + 0*l**4 + 4/5*l**3 + 0*l**2 - d*l - 2/5*l**5.
-2*l*(l - 1)**2*(l + 1)**2/5
Let j(t) = -2*t**2 + 3*t - 1. Let u be j(1). Factor 2/11 - 2/11*p**2 + u*p.
-2*(p - 1)*(p + 1)/11
Let k(c) be the first derivative of -2*c**2 + 0*c + 1 + 1/2*c**4 - 2/3*c**3. Suppose k(l) = 0. Calculate l.
-1, 0, 2
Let -6*l**2 - 44/5*l - 24/5 - 1/5*l**4 - 9/5*l**3 = 0. What is l?
-3, -2
Let g = -792 - -792. Factor 0*w**2 + 2/7*w**3 + 0*w**4 + g*w - 2/7*w**5 + 0.
-2*w**3*(w - 1)*(w + 1)/7
Let i(u) = 0*u**3 - 4 + 3 - 2*u**3 - 6*u + 3*u**2. Let c(o) = 2*o**3 - 2*o**2 + 6*o + 2. Let y(z) = -3*c(z) - 4*i(z). Suppose y(l) = 0. Calculate l.
1
Let l(h) be the third derivative of h**6/120 - h**4/24 + 3*h**2 + 7*h. Factor l(n).
n*(n - 1)*(n + 1)
Let s(p) be the first derivative of -9*p**4/4 + 4*p**3 + 3*p**2/2 - 6*p - 3. Let s(j) = 0. Calculate j.
-2/3, 1
Determine o, given that 0 - 8/7*o**5 - 20/7*o**4 + 0*o - 16/7*o**3 - 4/7*o**2 = 0.
-1, -1/2, 0
Let a(v) be the thir