e the second derivative of z(u). Factor y(r).
-2*r*(r - 1)**2*(r + 1)**2/5
Let d be (-6)/9*(-2)/4. Let a(g) be the third derivative of 0*g + 2*g**2 + 0 - 1/6*g**4 - d*g**3 - 1/30*g**5. Determine i so that a(i) = 0.
-1
Factor -12*j + 46*j**3 + 121*j**4 - 111*j**4 + 36*j + 64*j**2.
2*j*(j + 2)**2*(5*j + 3)
Suppose 3*a = -2*z - a + 24, -4*a = z - 16. Let d(g) = -g**2 + 8*g + 3. Let i be d(z). Suppose s + i*s**5 - s**4 - s**4 - 4*s**5 + 2*s**2 = 0. What is s?
-1, 0, 1
Let c(n) be the third derivative of n**10/75600 - n**9/12600 + n**8/5600 - n**7/6300 + n**4/24 + 5*n**2. Let f(l) be the second derivative of c(l). Factor f(d).
2*d**2*(d - 1)**3/5
Let n(z) be the first derivative of 10/33*z**3 - 2/11*z**5 - 2/11*z**2 - 7/33*z**6 + 5 + 9/22*z**4 + 0*z. Solve n(y) = 0.
-1, 0, 2/7, 1
Let q = 6 + -6. Suppose q = -3*y + 2*y + 4. Factor 2 + 6*w**4 - 4*w**4 + 0 - y*w**2.
2*(w - 1)**2*(w + 1)**2
Let q(c) = c**2 + 6*c - 2. Let l be -9 + (1 - (3 + -4)). Let m be q(l). Factor 0*n + 8/9*n**m + 10/9*n**3 + 2/9*n**2 + 16/9*n**4 + 0.
2*n**2*(n + 1)*(2*n + 1)**2/9
Let n(y) be the second derivative of 0 - 1/15*y**6 + 0*y**2 + 0*y**3 - 2*y + 0*y**4 + 1/10*y**5. Factor n(z).
-2*z**3*(z - 1)
Suppose 5*i + 6*x - 12 = 3*x, 0 = 4*i - 2*x - 14. Let s(u) be the second derivative of 4*u + 1/18*u**4 + 0*u**i - 1/3*u**2 + 0. Factor s(d).
2*(d - 1)*(d + 1)/3
Let u(j) be the first derivative of j**6/30 - j**5/20 - j**4/12 + j**3/6 + 6*j - 4. Let y(h) be the first derivative of u(h). Factor y(g).
g*(g - 1)**2*(g + 1)
Solve 1/4*j**2 + 7/8*j + 1/2 - 1/8*j**3 = 0 for j.
-1, 4
Let x(o) = -o**2 - 6*o + 11. Let s be x(-7). Let g(i) be the second derivative of 0 + 1/2*i**2 + 1/12*i**3 - i - 1/40*i**5 - 1/12*i**s. Factor g(z).
-(z - 1)*(z + 1)*(z + 2)/2
Let x(j) = 3*j**5 - 10*j**4 + 25*j**3 - 18*j**2 + 7*j + 2. Let c(q) = 9*q**5 - 31*q**4 + 74*q**3 - 54*q**2 + 21*q + 5. Let d(g) = 3*c(g) - 8*x(g). Factor d(u).
(u - 1)**4*(3*u - 1)
Let t be (0 - -2 - -7) + 2. Let d = t + -11. Factor 2/9*a**2 + d*a + 2/9*a**3 + 0.
2*a**2*(a + 1)/9
Let v be -4 + 2 - 120/5. Let a = 26 + v. Determine q, given that 1/3*q**3 + 0 + a*q - 1/3*q**2 = 0.
0, 1
Solve 50*g**3 + 145/2*g**2 + 25*g + 5/2 = 0.
-1, -1/4, -1/5
Let j(z) = z + 13. Let f be j(-10). Suppose 0*i + i**4 + 0*i**2 + 1/2*i**f + 0 + 1/2*i**5 = 0. Calculate i.
-1, 0
Factor -4 - 2*d**3 + d + 9*d - 5*d**2 + 2*d**4 - d**2.
2*(d - 1)**3*(d + 2)
Let g(k) = -25*k**4 - 15*k**3 + 88*k**2 - 48*k - 17. Let i(c) = 3*c**4 + 2*c**3 - 11*c**2 + 6*c + 2. Let w(q) = 6*g(q) + 51*i(q). Factor w(b).
3*b*(b - 1)**2*(b + 6)
Let w(b) be the third derivative of 0*b - 1/84*b**8 + 0*b**3 + 0*b**7 - 2/15*b**5 + 1/10*b**6 + 9*b**2 + 0 + 0*b**4. Factor w(o).
-4*o**2*(o - 1)**2*(o + 2)
Let v(r) = -7*r**2 + 17 - 13*r**2 - 8*r - 20*r**2 - 8*r**3 + 7*r**2. Let s(i) = i**3 + 4*i**2 + i - 2. Let w(q) = -51*s(q) - 6*v(q). Factor w(u).
-3*u*(u + 1)**2
Let k(c) be the first derivative of 2*c**3/27 + c**2/9 + 2. Factor k(x).
2*x*(x + 1)/9
Find v, given that -6/7*v + 3/7*v**2 + 0 = 0.
0, 2
Let a = 2/331 - -211/19860. Let j(m) be the third derivative of -1/12*m**4 + 0*m + a*m**6 - 1/30*m**5 + 1/3*m**3 + 0 + 2*m**2. Find k such that j(k) = 0.
-1, 1
Let c(v) be the third derivative of 2*v**7/105 - v**6/30 - v**5/15 + v**4/6 + 7*v**2. Find i such that c(i) = 0.
-1, 0, 1
Factor 0 - 2/9*q**5 + 2/9*q**4 - 2/9*q**2 + 2/9*q**3 + 0*q.
-2*q**2*(q - 1)**2*(q + 1)/9
Let b be ((-12)/(-14))/(5/35*4). Factor -3/2*p**2 - b*p + 0.
-3*p*(p + 1)/2
Factor -5*h + 5 - 1 + 4*h**2 - 3*h.
4*(h - 1)**2
Suppose 3*c = j + j - 6, -3*j + 9 = c. Let 8/9*y**4 + 2/9*y**5 + 2/9*y + 4/3*y**3 + c + 8/9*y**2 = 0. What is y?
-1, 0
Let b(a) = -a**2 + a - 1. Let k(v) = 4*v**2 + 32*v - 92. Let z(r) = -8*b(r) - k(r). What is y in z(y) = 0?
5
Let g be (-22)/(-40)*(2 + 4) + -3. Let v(s) be the first derivative of -9/25*s**5 + 4 - g*s**2 - 5/4*s**4 - 7/5*s**3 + 2/5*s. Let v(b) = 0. What is b?
-1, 2/9
Suppose 5*c + 15 = -5*n, c + 18 + 1 = -5*n. Let b(j) be the first derivative of -j**6 + c + 0*j + j**4 + 0*j**2 + 0*j**3 + 2/5*j**5. Factor b(r).
-2*r**3*(r - 1)*(3*r + 2)
Let 0 + 9/7*z**2 + 3/7*z**4 + 3/7*z + 9/7*z**3 = 0. Calculate z.
-1, 0
Let f(w) be the third derivative of 0*w + 0*w**3 - 1/66*w**4 + 1/330*w**5 + 0 - w**2. Suppose f(p) = 0. What is p?
0, 2
Let y(d) be the third derivative of -d**8/20160 + d**6/720 - d**5/180 - d**4/8 + 4*d**2. Let j(c) be the second derivative of y(c). Let j(h) = 0. What is h?
-2, 1
Let b(o) = 5*o**2 + 9. Let u(j) = 3*j**2 + 5. Let d(g) = 4*b(g) - 7*u(g). Let d(q) = 0. What is q?
-1, 1
Let i = 194/3 - 64. Solve -1/3*o**2 - i - o = 0 for o.
-2, -1
Factor 3/4*q**4 + 0*q + 3/4 + 0*q**3 - 3/2*q**2.
3*(q - 1)**2*(q + 1)**2/4
Let g be (12/(-32))/(12/(-8)*1). Find o, given that g*o**4 + 0*o + 0 + 0*o**3 - 1/4*o**2 = 0.
-1, 0, 1
Let b(a) be the third derivative of -5*a**2 + 1/30*a**6 + 2/105*a**7 + 0 + 0*a**5 + 0*a + 0*a**4 + 0*a**3. Suppose b(p) = 0. What is p?
-1, 0
Let s(i) be the first derivative of -26/45*i**3 + 4/15*i**2 + 1/6*i**4 - 1 + 8/15*i. Determine n, given that s(n) = 0.
-2/5, 1, 2
Determine z so that 0 + 2/7*z**2 + 4/7*z = 0.
-2, 0
Let u(q) be the third derivative of -q**9/120960 - q**8/40320 - 2*q**5/15 + 8*q**2. Let i(y) be the third derivative of u(y). Factor i(g).
-g**2*(g + 1)/2
Solve -255*w + 1280*w + 427*w + 4*w**3 + 4*w**2 + 128*w**2 + 5324 = 0 for w.
-11
Suppose -3*g + 11 = -4. Suppose g*t = 3*w - 0 - 8, -t = 1. Solve -w + 2*v**3 + 3*v + 6*v**2 + 3*v + 3 = 0.
-1
Let b(j) be the third derivative of 0*j**5 + 1/420*j**6 - 1/1470*j**7 + 1/42*j**3 - 1/84*j**4 + 0 - j**2 + 0*j. Find l, given that b(l) = 0.
-1, 1
Let k(y) be the first derivative of 5*y**4/4 - 5*y**3 - 5*y**2/2 + 15*y - 15. Factor k(c).
5*(c - 3)*(c - 1)*(c + 1)
What is i in 0 + 0*i + 3/4*i**3 - 3/2*i**2 = 0?
0, 2
Let w(q) be the second derivative of q**9/16632 - q**8/9240 + 2*q**3/3 + q. Let r(t) be the second derivative of w(t). Factor r(a).
2*a**4*(a - 1)/11
What is j in 1/5*j**5 - 1/5 - 3/5*j - 2/5*j**2 + 3/5*j**4 + 2/5*j**3 = 0?
-1, 1
Let i(f) be the second derivative of f**7/8820 + f**6/630 + f**5/105 + f**4/6 - f. Let c(v) be the third derivative of i(v). Determine n, given that c(n) = 0.
-2
Let v be (-143)/(-66) + 3/(-18). Factor -2/5*t**3 + 0 + 2/5*t + 0*t**v.
-2*t*(t - 1)*(t + 1)/5
Let g(c) be the first derivative of 0*c + 0*c**3 - 1/18*c**4 + 1/9*c**2 + 5. Find m, given that g(m) = 0.
-1, 0, 1
Suppose -5*g + 6 = -2*g. Let o be (0 - 0/g)/(-2). Factor 0*s - 3/4*s**2 + 3/2*s**3 + o.
3*s**2*(2*s - 1)/4
Let z be (3/(-1) + 41)/(-2). Let u = z - -39/2. Factor 1/2*f**4 + 0*f**3 + 0*f + 0 - u*f**2.
f**2*(f - 1)*(f + 1)/2
Let q(m) be the second derivative of m**6/50 - 9*m**5/100 + 2*m**3/5 - 3*m. Let q(s) = 0. What is s?
-1, 0, 2
Factor -1/5*n**2 - 3/5 + 4/5*n.
-(n - 3)*(n - 1)/5
Let n(y) be the third derivative of -y**4/12 - 5*y**3/6 - 3*y**2. Let l be n(-4). Factor -8/7*c**2 - 72/7*c**l + 0 + 0*c - 162/7*c**4.
-2*c**2*(9*c + 2)**2/7
Let z(p) be the third derivative of -p**6/150 + p**4/10 - 4*p**3/15 + 21*p**2. Solve z(k) = 0 for k.
-2, 1
Let s be (-8)/18*(-27)/36. Determine k so that 0 + 0*k**2 + 1/3*k - 2/3*k**3 + s*k**5 + 0*k**4 = 0.
-1, 0, 1
Find p such that -11*p**3 + 35*p**3 + 11*p**3 + 5*p**5 - 15*p**2 - 25*p**4 = 0.
0, 1, 3
Let v(f) be the third derivative of 0*f + 7/8*f**4 + 3/2*f**3 + 0 + 1/10*f**5 - 3*f**2. Solve v(j) = 0 for j.
-3, -1/2
Let h(l) = 15*l**3 - 11*l**2 + 4*l - 9. Let d(y) = -7*y**3 + 5*y**2 - 2*y + 4. Let a(t) = -13*d(t) - 6*h(t). Let f be a(0). Factor c**f + 0*c + 0 + 1/2*c**3.
c**2*(c + 2)/2
What is o in 4*o**5 + 9*o**4 - 32*o**2 + 8 - o**4 - 28*o - 16 - 8*o**3 = 0?
-1, 2
Suppose 7 + 8 = 5*s. Factor 6*i**3 - 8*i**3 - 7*i**2 + s*i - 11*i - i**2.
-2*i*(i + 2)**2
Let h(r) be the third derivative of 0*r - 1/6*r**4 + 0 - 1/30*r**5 + 1/60*r**6 + 0*r**3 - r**2. What is y in h(y) = 0?
-1, 0, 2
Suppose -4*l = -0*l - 24. Let y(x) = -x**2 + 6*x - 3. Let k be y(l). Let r(a) = -a**2 - a. Let g(w) = w**2 + w. Let h(q) = k*g(q) - 2*r(q). Factor h(i).
-i*(i + 1)
Suppose 5 = 2*q + 1. Factor 2 + 16*b + 12*b - 16*b**q + 6.
-4*(b - 2)*(4*b + 1)
Let u(o) be the third derivative of -o**5/300 + o**4/24 - 46*o**2. Factor u(g).
-g*(g - 5)/5
Suppose -u + 19 = 17. Let b(h) be the first derivative of 2*h - 1/2*h**u - 1/3