 5*i. Let y(l) = 0. What is l?
-1, 0
Factor -14*n**2 + 28*n**2 - 17*n**2 + 6*n**3 + 9*n**4.
3*n**2*(n + 1)*(3*n - 1)
Suppose 2*p = 2*z + 5 + 1, 5*z = 20. Let d(r) = -r**3 + 7*r**2. Let g be d(p). Factor 0*h**2 + g + 0*h**3 + 0*h - 1/2*h**5 - 1/2*h**4.
-h**4*(h + 1)/2
Let z(d) be the third derivative of d**6/180 + d**5/30 + d**4/18 - 43*d**2. Factor z(u).
2*u*(u + 1)*(u + 2)/3
Let c(k) = k**5 + 29*k**4 + 35*k**3 + 12*k**2. Let y(a) = -18*a**3 - 15*a**4 - 3 + 3 - 6*a**2. Let w(i) = -3*c(i) - 5*y(i). Factor w(m).
-3*m**2*(m + 1)**2*(m + 2)
Let z = -4 + 6. Suppose 5*d - 5*h - 10 = 0, -z*h + 21 - 4 = 5*d. Suppose -4/5*a**2 - 2/5 + a + 1/5*a**d = 0. Calculate a.
1, 2
Let p(h) be the second derivative of h**4/54 + 4*h**3/27 + h**2/3 - 51*h. Factor p(y).
2*(y + 1)*(y + 3)/9
Let z(t) = -3*t - 18. Let b be z(-7). Let q(y) be the second derivative of 0*y**b + 0 - 1/36*y**4 + 1/6*y**2 + 3*y. Factor q(s).
-(s - 1)*(s + 1)/3
Let m = 18 + -16. Let l(w) be the second derivative of 0 - 5/18*w**3 + 1/9*w**4 + 1/3*w**m - 2*w - 1/60*w**5. Let l(j) = 0. What is j?
1, 2
Let f be (-4)/14 - (-18)/63. Suppose -2*v = -f*v. What is b in v - 2/3*b**2 + 2/3*b = 0?
0, 1
Let x = 799/6320 - 9/79. Let y(u) be the second derivative of 0 - 2*u + 1/48*u**4 + 0*u**2 + x*u**5 + 0*u**3. Factor y(h).
h**2*(h + 1)/4
Let g(u) be the second derivative of 1/2*u**3 + 1/60*u**5 + 0 + 0*u**2 + 1/60*u**6 - 3*u - 1/6*u**4. Let n(f) be the second derivative of g(f). Solve n(j) = 0.
-1, 2/3
Let t(g) be the third derivative of -g**7/420 + g**6/240 - 14*g**2. Factor t(c).
-c**3*(c - 1)/2
Let s = 11/2 + -5. Factor 0 + s*m**5 + 1/3*m - 3/2*m**2 + 5/2*m**3 - 11/6*m**4.
m*(m - 1)**3*(3*m - 2)/6
Let t(w) be the third derivative of -w**5/240 + w**3/24 - 12*w**2. Let t(g) = 0. What is g?
-1, 1
Suppose -28*k**3 - 2*k**4 - 17 - 68*k**2 + 64*k + 1 - 36*k**5 + 86*k**4 = 0. What is k?
-1, 2/3, 1
Let z = -498 + 22411/45. Let w(n) be the second derivative of 0*n**2 + 1/18*n**4 + 1/9*n**3 - z*n**6 - 1/30*n**5 + n + 0. Factor w(x).
-2*x*(x - 1)*(x + 1)**2/3
Let y(l) = -l**2 + l + 31. Let f be y(0). Let h be (3 + 19/(-2))*-2. Solve -f*a**3 - h*a**4 + 4*a**2 + 3*a**3 + 62*a**4 = 0 for a.
0, 2/7
Let a(z) be the second derivative of z**10/15120 + z**9/2835 + z**8/1440 + z**7/1890 + z**4/2 + 6*z. Let s(g) be the third derivative of a(g). Factor s(c).
2*c**2*(c + 1)**2*(3*c + 2)/3
Let y(q) = -q**2 + 3*q - 6. Let s = 6 + -2. Suppose -4*u + u - 7 = 2*b, u + 4*b = -9. Let p(w) = -w**2. Let v(o) = s*p(o) + u*y(o). Find j such that v(j) = 0.
-2, 1
Let q(n) be the first derivative of 0*n**5 + 0*n**3 - 6 + 0*n**2 - 3/4*n**4 + 1/2*n**6 + 0*n. Factor q(y).
3*y**3*(y - 1)*(y + 1)
Let w(s) be the first derivative of -s**3/9 + 7*s**2/3 - 49*s/3 + 24. Solve w(k) = 0.
7
Let t(i) be the second derivative of -5/6*i**3 - 1/2*i**2 - 1/3*i**4 + 3*i + 0. Factor t(h).
-(h + 1)*(4*h + 1)
Let j be (-4 + 4)/(1 + -2). Determine n so that j + 0*n**2 + 1/4*n**3 + 0*n = 0.
0
Let t = 5 - 3. Determine y, given that t*y + 3*y**2 + 2*y + 2 - y**2 = 0.
-1
Let q = 85/3 - 83/3. Factor -10/3*c**2 + 2*c**3 + q*c + 2/3.
2*(c - 1)**2*(3*c + 1)/3
Suppose 0 = o + 1, 3*o - 5*o - 14 = -4*i. Factor -a**2 - 10*a - 3*a**2 + 0*a**2 + i - a.
-(a + 3)*(4*a - 1)
Let h(w) be the first derivative of -w**7/420 + w**6/30 - w**5/5 + 2*w**4/3 - 2*w**3/3 - 1. Let f(k) be the third derivative of h(k). Factor f(m).
-2*(m - 2)**3
Let r = 289/60 - 19/4. Let h(o) be the second derivative of -1/15*o**3 - o + 0 + r*o**4 + 0*o**2 - 1/50*o**5. Factor h(n).
-2*n*(n - 1)**2/5
Factor 0 + 1/3*v + 1/3*v**3 + 2/3*v**2.
v*(v + 1)**2/3
Find o, given that -7/5*o**2 - 12/5*o + 4/5 = 0.
-2, 2/7
Let x(f) be the first derivative of -f**6/12 + f**5/10 + f**4/4 - f**3/3 - f**2/4 + f/2 + 4. Solve x(q) = 0 for q.
-1, 1
Suppose -3*h + 5*h = -14. Let g(t) = 2*t**2 + 4. Let v(b) be the first derivative of -5*b**3/3 - 9*b + 3. Let j(y) = h*g(y) - 3*v(y). Factor j(s).
(s - 1)*(s + 1)
Let c(t) be the third derivative of t**5/240 - t**4/24 + t**3/6 + 3*t**2 - 5*t. Factor c(v).
(v - 2)**2/4
Let j be (-12)/20 + (-39)/(-15). Let i = -6 + 11. Suppose 2*q**j - i*q + 5*q = 0. Calculate q.
0
Let q(m) be the third derivative of m**7/420 + m**6/40 + m**5/10 + m**4/6 + 3*m**2. Factor q(h).
h*(h + 2)**3/2
Let z(i) = 24*i + 2. Let d be z(-1). Let k(l) = l**5 + 13*l**4 + 12*l**3 + 11*l - 11. Let o(a) = a**4 + a**3 + a - 1. Let r(f) = d*o(f) + 2*k(f). Factor r(b).
2*b**3*(b + 1)**2
Let j be 3 - (-2 + (-28)/(-6)). Suppose 3*i = -0*i. Factor i + 4/3*z**2 - 1/3*z + 4/3*z**4 - 2*z**3 - j*z**5.
-z*(z - 1)**4/3
Let h(a) = a + 1. Let r(c) = 4*c**2 + 8*c + 4. Let d(u) = -2*h(u) + r(u). Solve d(x) = 0.
-1, -1/2
Let z(d) = -d**3 + 2*d + 3. Let a be z(0). Suppose -4 - 12*g**2 + 0*g - 12*g - 97*g**a + 93*g**3 = 0. Calculate g.
-1
Suppose -3*i + 0*c + 3*c = -21, -3*i + 5*c + 31 = 0. Let 4*g**3 - 2*g**i - 4*g**3 + 2*g**4 + 0*g**3 = 0. What is g?
-1, 0, 1
Factor -q**3 - 2 - 4 - 2 + 2*q**2 + 4*q.
-(q - 2)**2*(q + 2)
Let r(u) be the third derivative of u**8/840 - u**6/180 + u**3/6 - 4*u**2. Let w(o) be the first derivative of r(o). Solve w(c) = 0.
-1, 0, 1
Let c(z) be the first derivative of -1 - 2*z**2 + 8/3*z**3 + 0*z + 1/5*z**5 - 5/4*z**4. Factor c(f).
f*(f - 2)**2*(f - 1)
Let c(f) be the first derivative of -f**4/34 - 14*f**3/51 + f**2 - 18*f/17 + 54. Solve c(x) = 0.
-9, 1
Let a(s) = 29*s**2 + 10*s. Let v(u) = 57*u**2 + 20*u. Let w(f) = -7*a(f) + 4*v(f). Let w(g) = 0. Calculate g.
-2/5, 0
Let k(i) be the third derivative of 0 - 3*i**2 + 1/10*i**5 + 0*i**4 - 1/14*i**7 + 0*i + 0*i**3 - 3/40*i**6. What is t in k(t) = 0?
-1, 0, 2/5
Let o(g) = -3*g**2 + 3. Let p(u) = u**2 - 1. Let a(k) = -6*o(k) - 22*p(k). Solve a(n) = 0.
-1, 1
What is t in 0 + 8/3*t**2 + 4/3*t**5 - 6*t**4 + 0*t + 2*t**3 = 0?
-1/2, 0, 1, 4
Factor -y**3 + 8*y**2 - 2*y**3 + 15*y**3.
4*y**2*(3*y + 2)
Let r = -29 + 94/3. Let b(f) be the first derivative of -7/6*f**4 - 2/3*f**3 + r*f**2 - 4/3*f + 2 + 2/3*f**5. Suppose b(m) = 0. Calculate m.
-1, 2/5, 1
Suppose 0 = -2*t + 5*t - 6. Let j be -3 - (-108)/16 - 3. Suppose j*x**t + 1/2 + 5/4*x = 0. What is x?
-1, -2/3
Let x(z) be the first derivative of -z**8/1120 - z**7/1680 + z**6/240 + z**5/240 - z**3 - 1. Let f(b) be the third derivative of x(b). Factor f(a).
-a*(a - 1)*(a + 1)*(3*a + 1)/2
Let v(w) be the second derivative of -w**7/1680 + w**6/360 - w**5/240 - w**3/6 + 4*w. Let j(u) be the second derivative of v(u). Suppose j(m) = 0. What is m?
0, 1
Let w(x) be the third derivative of 1/72*x**4 + 0*x + 1/180*x**5 + 0 + x**2 - 1/360*x**6 - 1/18*x**3. Determine b so that w(b) = 0.
-1, 1
Let o(i) be the first derivative of -i**7/42 - 2*i**6/15 - i**5/5 + i**4/6 + 5*i**3/6 + i**2 - 3*i + 3. Let a(p) be the first derivative of o(p). Factor a(x).
-(x - 1)*(x + 1)**3*(x + 2)
Suppose -15*a + 18 = -57. Let k(q) be the second derivative of -4*q + 0 + 2/9*q**4 + 0*q**2 + 1/30*q**a + 4/9*q**3. Factor k(g).
2*g*(g + 2)**2/3
Let m = 5/9 + -1/18. Let c(b) be the first derivative of -m*b**4 - 2 + 1/5*b**5 + 1/6*b**6 + 1/2*b**2 - 2/3*b**3 + b. Find k such that c(k) = 0.
-1, 1
Let t = -3 - -5. Factor 2*w**3 - 2*w**2 + 9*w**2 + 3*w**t + 4*w**3 + 2*w - 2.
2*(w + 1)**2*(3*w - 1)
Let h be (-19)/(-3) + 1/(-3). Suppose -3*j + 21 = h*x - x, 4 = -j + 2*x. Factor -2*l**j + 0*l**2 + 4*l**2 - 3 + 1.
2*(l - 1)*(l + 1)
Let b(h) be the first derivative of -h**5/210 + h**4/84 + 2*h**3/21 + 3*h**2 + 5. Let j(l) be the second derivative of b(l). Suppose j(v) = 0. What is v?
-1, 2
Factor -35*u**2 + 30 - 7*u + 5*u**4 - 9*u + 44*u**3 - 19*u**3 - 9*u.
5*(u - 1)**2*(u + 1)*(u + 6)
Let p = -1/14 + 47/70. Solve p*k**3 + 9/5*k**4 - 6/5*k - 9/5*k**2 + 3/5*k**5 + 0 = 0 for k.
-2, -1, 0, 1
Suppose -c + 4*c - 63 = 0. Let h(i) = -5*i**2 + 3*i + 6. Let l(n) = 51*n**2 - 30*n - 60. Let d(s) = c*h(s) + 2*l(s). Let d(m) = 0. Calculate m.
-1, 2
Factor 5/3 + 11/6*r + 1/6*r**2.
(r + 1)*(r + 10)/6
Let h(a) be the third derivative of 0*a + 0 + 1/540*a**6 + 5*a**2 - 1/108*a**4 - 1/90*a**5 + 1/945*a**7 + 2/27*a**3. Solve h(y) = 0.
-2, -1, 1
Factor 3*m - 9/2*m**2 + 3/2*m**3 + 0.
3*m*(m - 2)*(m - 1)/2
Suppose 18 = r + r. Let x be ((-13)/(-6) - 2)*r. Factor x*l**2 - l**3 - 1/2 + 0*l.
-(l - 1)**2*(2*l + 1)/2
Let o be (-2)/12*3*-8. Find p, given that 8/7*p**3 + 8/7*p - 2/7 - 12/7*p**2 - 