2*d**2 + 9*d**2 + 6*d - 2*d**2. Let h(a) = -7*w(a) - 3*y(a). Factor h(s).
-3*(s + 1)*(4*s - 1)
Factor 0 + 0*x**4 + 0*x**2 + 0*x + 1/4*x**5 - 1/4*x**3.
x**3*(x - 1)*(x + 1)/4
Let r(m) = -4*m**2 - 6*m + 2. Let u(s) be the second derivative of -s**5/20 + s**4/4 + 7*s**3/6 - 3*s**2/2 - 3*s. Let y(n) = 3*r(n) + 2*u(n). Factor y(q).
-2*q*(q + 1)*(q + 2)
Let k(x) be the second derivative of x**7/210 - x**6/150 - x**5/25 + x**4/15 - 19*x. Find i such that k(i) = 0.
-2, 0, 1, 2
Let j(f) be the third derivative of f**7/630 - 17*f**6/180 + 11*f**5/5 - 847*f**4/36 + 1331*f**3/18 + 48*f**2 + f. Let j(a) = 0. What is a?
1, 11
Let a = 4 + -2. Solve 1/3*c**a + 0*c + 0 = 0.
0
Let u(a) = -5*a + 7. Let w be u(-9). Let x be (-84)/(-39) - 8/w. Factor -1 + y**x - 1/2*y**3 + 1/2*y.
-(y - 2)*(y - 1)*(y + 1)/2
Suppose -v = -0*v - 5, -3*v = 4*l - 39. Let m be 30/9 - 2/l. Suppose -f + 2*f - m*f - f**2 - 1 = 0. Calculate f.
-1
Let i = 109 - 105. Let s(p) be the second derivative of 0*p**2 + 0*p**3 - 3*p - 1/24*p**i - 1/40*p**5 + 1/60*p**6 + 1/84*p**7 + 0. Factor s(q).
q**2*(q - 1)*(q + 1)**2/2
Let r be 2/1 - 10/(-15)*-3. Find j such that -1/2*j + r*j**2 + 0*j**4 + 0 + j**3 - 1/2*j**5 = 0.
-1, 0, 1
Factor 0 + 2/15*r**2 + 2/15*r.
2*r*(r + 1)/15
Let o(u) be the third derivative of -u**7/2520 + u**6/360 - u**5/360 - u**4/72 + u**3/24 - 3*u**2 + 2. Let o(p) = 0. What is p?
-1, 1, 3
Let w = 267 + -788/3. Let o = w + -4. Solve -2/3 - o*z**2 - z = 0.
-2, -1
Factor 0 + 0*p - 10/3*p**3 - 5/2*p**2 - 5/6*p**4.
-5*p**2*(p + 1)*(p + 3)/6
Solve -181*o**2 + 10*o - 21*o**3 - 8*o**5 + 206*o**2 - 25*o**4 + 23*o**5 - 4*o**3 = 0.
-1, -1/3, 0, 1, 2
Let n(v) = v**2 - v - 1. Let u(c) = -2*c**3 + 11*c**2 - 9*c - 11. Let d(w) = 22*n(w) - 2*u(w). Factor d(k).
4*k*(k - 1)*(k + 1)
Find d such that -7*d + 332*d**2 + 6*d**4 + 34*d**3 - 356*d**2 - 8*d**5 - d = 0.
-2, -1/4, 0, 1, 2
Let b(n) be the third derivative of 1/175*n**7 + 1/560*n**8 + 1/200*n**6 + 0*n + 0*n**5 + 0*n**3 + 0 + 0*n**4 + n**2. Factor b(a).
3*a**3*(a + 1)**2/5
Let y(u) = 9*u**2 + 20*u + 8. Let g(l) = 27*l**2 + 60*l + 23. Let f(q) = -4*g(q) + 11*y(q). Factor f(h).
-(h + 2)*(9*h + 2)
Determine h, given that 0*h + 4/3*h**2 + 0 = 0.
0
Let z = 3 - -8. Let c = -6 + z. Suppose 2*g + c - 5 + 3*g**3 + 0 + 7*g**2 = 0. Calculate g.
-2, -1/3, 0
Let a be (-13)/(-4) + 18/(-9). Let g(u) = -u**2 - 6*u - 1. Let i be g(-5). Factor 1/4*c**2 + c**i - a*c**3 + 0 + 0*c.
c**2*(c - 1)*(4*c - 1)/4
Determine m, given that -44*m**3 + 8*m + 21*m**4 - 4*m**2 - 14*m**5 + 2*m**5 - 65*m**4 = 0.
-2, -1, 0, 1/3
Let o(x) = -x - 15. Let z be o(-17). Factor 0*m - 2/7*m**4 - 2/7*m**5 + 2/7*m**z + 0 + 2/7*m**3.
-2*m**2*(m - 1)*(m + 1)**2/7
Let m = -155/3 - -52. Factor 0 + 1/3*h**2 + m*h.
h*(h + 1)/3
Let u = 6 - 1. Let k(v) be the first derivative of 4/3*v**3 + 2 + 0*v + 0*v**2 + 5/2*v**4 - 14/5*v**u. Determine f, given that k(f) = 0.
-2/7, 0, 1
Suppose 16*i**4 + 32*i**2 - 48*i**4 - 12*i**5 - 3*i - 4*i**3 + 6*i + 13*i = 0. What is i?
-2, -1, -2/3, 0, 1
Find t, given that -3/5*t + 1/5 - 3/5*t**4 + 1/5*t**5 + 2/5*t**3 + 2/5*t**2 = 0.
-1, 1
Let n(k) = -2*k - 9. Let d = 5 + -11. Let q be n(d). What is l in 1/2*l**4 + 0 - 1/2*l**q + 0*l - 1/2*l**2 + 1/2*l**5 = 0?
-1, 0, 1
Let y(m) be the second derivative of 7*m**4/16 - m**3/4 - 52*m. Suppose y(f) = 0. Calculate f.
0, 2/7
Suppose -2*a + 2*r + 10 = -0, -3*a + 9 = 3*r. Let 6*z - z**3 + 2 - a*z + z + 0*z**3 = 0. Calculate z.
-1, 2
Let p(m) = 2*m - 3. Let r be (-1 + (-3 - -3))*-3. Let b be p(r). Factor -5*w + 3*w - w + 3 - b*w**2 + 3*w**3.
3*(w - 1)**2*(w + 1)
Suppose 0 = -3*g + 12 + 18. Let l be (-3 - -2) + (1 - -5). Suppose -4*n - l*n**3 + 3*n**3 - g*n**2 - 6*n**3 - 2*n**4 = 0. What is n?
-2, -1, 0
Factor 0 + 7/3*y**4 - 2/3*y**3 + 0*y**2 + 0*y + 3*y**5.
y**3*(y + 1)*(9*y - 2)/3
Let o be (5 + -3)/6 + 0 + 0. Factor -5/3*a - 10/3*a**3 - o*a**5 + 1/3 + 10/3*a**2 + 5/3*a**4.
-(a - 1)**5/3
Let t(o) be the second derivative of -o**5/30 - o**4/18 + 4*o**3/9 + 4*o**2/3 + 4*o. Find j such that t(j) = 0.
-2, -1, 2
Let w(q) = q**5 + 2*q**3 - q**2 - q. Let x(f) = -4*f**5 - 6*f**4 + 14*f**2 - 6. Let o(c) = 2*w(c) + x(c). Find p such that o(p) = 0.
-3, -1, 1
Let c(y) be the second derivative of 0 + 11/12*y**3 + 17/40*y**5 + 1/12*y**6 + 1/2*y**2 - y + 7/8*y**4. Suppose c(a) = 0. Calculate a.
-1, -2/5
Let f = -763/60 - -64/5. Let n(r) be the first derivative of -f*r**4 - 2/3*r - 4/9*r**3 - 5/6*r**2 + 2. Let n(c) = 0. Calculate c.
-2, -1
Let m(l) be the second derivative of l + 1/10*l**5 + 2/3*l**3 + 0 - 1/2*l**4 + 0*l**2. Solve m(o) = 0 for o.
0, 1, 2
Let w(b) be the first derivative of -b**4/4 + b**3/3 + b**2/2 - b - 8. Factor w(j).
-(j - 1)**2*(j + 1)
Let 2*i**3 + 4*i**3 - i**3 - 24*i**2 - 2*i**3 + 48*i = 0. What is i?
0, 4
Factor 0 + 0*i**2 - 1/4*i + 1/4*i**3.
i*(i - 1)*(i + 1)/4
Let l(b) be the first derivative of -2*b**5/15 - 2*b**4/3 - 4*b**3/3 - 4*b**2/3 - 2*b/3 - 9. What is t in l(t) = 0?
-1
Let a be 15/9 + -5 + 2 + 6. Factor 4/3*m**3 + 0 + 0*m + 10/3*m**5 + 0*m**2 - a*m**4.
2*m**3*(m - 1)*(5*m - 2)/3
Let h = 1047/2 - 516. Factor -15/2*b**3 - 15/4*b - 3/4 - 15/4*b**4 - h*b**2 - 3/4*b**5.
-3*(b + 1)**5/4
Let f(k) be the third derivative of k**5/60 + k**4/48 + 18*k**2. Factor f(d).
d*(2*d + 1)/2
Let p(h) = -h**2 - 8*h - 6. Let z be p(-6). Suppose 3*v = 3 + z. Factor 8/5*w**v + 0 + 2/5*w**2 + 0*w.
2*w**2*(4*w + 1)/5
Suppose 783*i - 777*i = 24. Solve 4/7 + 18/7*p + 20/7*p**2 - 10/7*p**5 - 24/7*p**i - 8/7*p**3 = 0 for p.
-1, -2/5, 1
Let w(x) = -2*x**2 + x + 1. Let u(c) = -5*c**2 + 4*c + 4. Suppose 4*r + z = 33, 0 = 5*r + z + 3*z - 44. Let d(t) = r*w(t) - 3*u(t). Factor d(g).
-(g + 2)**2
Let n(d) = 2*d**2 - 4*d + 2. Let q be n(2). Let v = 0 + q. What is w in v*w**2 - 1 - 1 + 2 - 4*w = 0?
0, 2
Let s(c) be the third derivative of -c**6/300 - c**5/75 + c**4/60 + 2*c**3/15 - 4*c**2. Factor s(z).
-2*(z - 1)*(z + 1)*(z + 2)/5
Let b = 41 - 122/3. Factor -1/3*s**2 + 0 + 0*s + 1/3*s**3 + 1/3*s**4 - b*s**5.
-s**2*(s - 1)**2*(s + 1)/3
Suppose 17 = 5*c + 2. Suppose 3*q = 5*t + 11, -2*q + 3 = -2*t - c. Factor f**4 - q*f**3 + 3*f**3 - 2*f**4 + f**2 - f**5.
-f**2*(f - 1)*(f + 1)**2
Suppose 0 = 3*l + n - 9, -3*l = 2*l - 2*n - 4. Factor 1/2 + 1/2*p**l - p.
(p - 1)**2/2
Let k(t) be the first derivative of t**4 + 8/3*t + 26/9*t**3 + 4*t**2 + 2/15*t**5 + 1. Suppose k(l) = 0. What is l?
-2, -1
Factor 2*w + 5*w - 2*w - 10 + 5*w**2.
5*(w - 1)*(w + 2)
Let n(a) be the first derivative of a**6/4 - 9*a**5/10 - 3*a**4/4 + 3*a**3 + 3*a**2/4 - 9*a/2 + 18. Find j, given that n(j) = 0.
-1, 1, 3
Factor -8*d**2 + 2*d**3 + 2*d**3 + 6*d**2 - 2*d**4.
-2*d**2*(d - 1)**2
Let q(w) be the second derivative of -5*w**4/3 - 8*w**3/3 + 2*w**2 - 2*w - 4. Factor q(n).
-4*(n + 1)*(5*n - 1)
Let f(z) be the third derivative of -z**8/168 - 4*z**7/105 - z**6/10 - 2*z**5/15 - z**4/12 + 6*z**2. Solve f(x) = 0 for x.
-1, 0
Let d(b) be the third derivative of -b**5/150 + b**4/30 - 17*b**2. Solve d(p) = 0.
0, 2
Let k(b) be the third derivative of -b**6/30 - b**5/3 - b**4/2 + 6*b**3 - 37*b**2. Factor k(i).
-4*(i - 1)*(i + 3)**2
Let t(c) be the first derivative of -49*c**5/25 - 77*c**4/20 + 22*c**3/5 + 26*c**2/5 + 8*c/5 - 4. Find g such that t(g) = 0.
-2, -2/7, 1
Let k(g) be the third derivative of g**8/1680 + g**7/210 + g**6/150 + 4*g**2. What is p in k(p) = 0?
-4, -1, 0
Let n = -160 + 2407/15. Let x(f) be the third derivative of 7/20*f**6 + 0*f**3 + n*f**7 + f**2 + 1/3*f**4 + 0 + 0*f - 4/5*f**5. Factor x(s).
2*s*(s + 1)*(7*s - 2)**2
Let j(b) = -100*b**3 + 72*b**2 + 28*b - 12. Let t(z) = -40*z**3 + 29*z**2 + 11*z - 5. Let k(o) = 5*j(o) - 12*t(o). Factor k(p).
-4*p*(p - 1)*(5*p + 2)
Let l = 2650/7 - 378. Factor -l*y + 10/7*y**2 - 6/7*y**3 + 0.
-2*y*(y - 1)*(3*y - 2)/7
Let i be 8/(-48) - (-5)/(-6). Let d be (i/(-6))/((-1)/(-4)). Suppose -2/3*o**2 + 4/3 - d*o = 0. What is o?
-2, 1
Let q(n) be the first derivative of -5*n**3/3 + 15*n**2/2 - 10*n - 8. Factor q(w).
-5*(w - 2)*(w - 1)
Let f(l) = 13*l**2 + 1. Let n(t) = -t**3 - 2*t**2 - t - 1. Let s be n(-2). Let u be f(s). Factor u + 0*h**2 - h**2 - 12*h + 3*h**2 + 4.
2*(h - 3)**2
Let d(m) = -2*m**3 + m**2 + m. Let s be d(1). Find y such that 1/2*y**2 + s*y - 1/2 = 0.
-1, 1
Let g(o) be the second derivative of -o**6/10 + 3*o**4/4 - o**3 + 2*o. Find q, g