**2. Factor i(y).
2*(y - 2)*(y - 1)
Let a(g) = g**3 + 35*g**2 + 32*g - 65. Let h be a(-34). Let 0*k - 6/7*k**h - 2/7*k**2 + 6/7*k**5 + 0 + 2/7*k**4 = 0. Calculate k.
-1, -1/3, 0, 1
Let q(i) be the second derivative of -7*i**6/240 + i**5/5 - i**4/4 + i**3/6 + 3*i. Let k(s) be the second derivative of q(s). Determine b so that k(b) = 0.
2/7, 2
Let n(y) be the first derivative of -y**7/280 + 9*y**2/2 + 8. Let u(c) be the second derivative of n(c). Find p such that u(p) = 0.
0
Let z = 9 + 0. Factor -j**3 - z + 9 + 2*j**2.
-j**2*(j - 2)
Let h(q) be the first derivative of q**4/2 + 8*q**3 + 36*q**2 - 13. Find s such that h(s) = 0.
-6, 0
Let a(o) be the second derivative of o**6/1440 + o**5/240 + o**4/96 + o**3/6 + 3*o. Let d(u) be the second derivative of a(u). Let d(l) = 0. What is l?
-1
Let l = -266636/33 + 8082. Let n = l - -6/11. Factor -8/3*f**3 + n*f + 2/3 - 2/3*f**2.
-2*(f - 1)*(f + 1)*(4*f + 1)/3
Let i(y) be the first derivative of y**3/9 - 5*y**2/3 + 25*y/3 - 6. Factor i(v).
(v - 5)**2/3
Let u = -33 + 100/3. Let s(d) be the second derivative of 1/9*d**4 + u*d**2 + 0 - 1/3*d**3 + 1/15*d**5 - 1/15*d**6 - d + 1/63*d**7. Factor s(t).
2*(t - 1)**4*(t + 1)/3
Let b(g) be the third derivative of -g**7/210 + g**6/30 - g**5/10 + g**4/6 - g**3/6 - 7*g**2. Factor b(u).
-(u - 1)**4
Let z = -2 - -5. Suppose z*q + 1 = 7. Factor -1 + 3/2*i**3 + 3*i - 13/4*i**q - 1/4*i**4.
-(i - 2)**2*(i - 1)**2/4
Let f(n) be the third derivative of -n**5/20 + n**4/4 - n**3/2 - 2*n**2. Factor f(t).
-3*(t - 1)**2
Let c be ((-1)/2)/((-9)/54). Suppose c*d = 3 + 3. Solve -1/2 - 1/2*u**d - u = 0.
-1
Let k(p) be the third derivative of -p**8/560 - 3*p**7/175 - 3*p**6/50 - 2*p**5/25 - 3*p**2. Suppose k(u) = 0. Calculate u.
-2, 0
Let t(b) = 6*b**3 - 10*b**2 + 6*b - 6. Let w be 1 + 4/((-8)/(-6)). Let x(j) = -j**3 + j**2 + 1. Let m(y) = w*x(y) + t(y). Factor m(u).
2*(u - 1)**3
Let y(p) be the third derivative of p**6/300 - p**5/150 - p**4/12 - p**3/5 + 2*p**2. Factor y(x).
2*(x - 3)*(x + 1)**2/5
Let b(w) = w**3 + 8*w**2 + 8*w + 12. Let h be b(-7). Solve 6*q**4 - 37*q**2 + 31*q**2 + 3*q**h - q**3 - 2*q**3 = 0 for q.
-2, -1, 0, 1
Find a, given that -18/19*a**2 - 2/19*a**3 + 20/19*a + 0 = 0.
-10, 0, 1
Let x = 5 - 0. Let -x*w**2 + 5*w + w**2 - 2*w + w**2 = 0. Calculate w.
0, 1
Find k such that -3*k**3 - k + 2*k - k - 3*k + 6*k**2 = 0.
0, 1
Let y(d) be the third derivative of d**6/120 + d**5/15 + d**4/8 - 17*d**2. Factor y(a).
a*(a + 1)*(a + 3)
Factor 10*h**3 + 3*h**4 + 0 + 50*h - 3 - 56*h - 4*h**3.
3*(h - 1)*(h + 1)**3
Let b(g) be the second derivative of -g**7/112 - g**6/15 - g**5/5 - 5*g**4/16 - 13*g**3/48 - g**2/8 + 12*g. Find v, given that b(v) = 0.
-2, -1, -1/3
Let p(h) = -14*h**2 - 20*h + 20. Let x(g) = 5*g**2 + 7*g - 7. Let f(c) = 6*p(c) + 17*x(c). Let v be f(2). Factor 0*m**2 + 0 + 1/3*m**v + 1/3*m**4 + 0*m.
m**3*(m + 1)/3
Let l(i) = i**3 + 3*i**2 - 6*i - 5. Let g = 13 + -17. Let u be l(g). Factor -8/5*t**2 - 8/5*t**4 + 2/5*t**5 + 0 + 2/5*t + 12/5*t**u.
2*t*(t - 1)**4/5
Suppose 0*p**5 + 51*p**4 - 42*p**3 + 12*p**2 - 8*p**5 - 7*p**5 - 6*p**3 = 0. Calculate p.
0, 2/5, 1, 2
Let r = 7 + -5. Let n = -10 + 14. Determine l, given that l + 3/2*l**4 + 7/2*l**r + 0 + n*l**3 = 0.
-1, -2/3, 0
Suppose 0 = 2*c - 6. Determine l, given that 36*l**5 - 48*l**2 - 16*l + 2*l**c + 48*l**4 + 4*l**3 - 26*l**3 = 0.
-1, -2/3, 0, 1
Let b be (-296)/(-140) + (-4)/(-14). What is x in 2/5*x**4 + 8/5*x**3 + b*x**2 + 2/5 + 8/5*x = 0?
-1
Let i(m) = m + 5. Let f be i(-5). Let g(t) be the third derivative of 1/42*t**4 + f + 0*t + 1/210*t**5 + 1/21*t**3 - 2*t**2. Solve g(a) = 0.
-1
Let j(d) be the third derivative of 0*d**3 - 1/150*d**5 + 0 - 1/175*d**7 + 0*d**4 + 4*d**2 - 1/840*d**8 - 1/100*d**6 + 0*d. Factor j(q).
-2*q**2*(q + 1)**3/5
What is v in 0*v - 2*v**3 + v**2 + 0 + 5/4*v**4 - 1/4*v**5 = 0?
0, 1, 2
Let o(p) be the third derivative of 1/6*p**4 - 1/60*p**6 + 0*p**3 + 0 + 0*p - p**2 - 1/30*p**5. Determine h, given that o(h) = 0.
-2, 0, 1
Let t be -2 - 8/(-4) - 0. Find d, given that -2*d**2 - 2 - 3*d - d + t*d = 0.
-1
Let n(t) = -t**3 + 9*t**2 + 11*t - 10. Let j be n(10). Suppose m + 6 = -7*g + 3*g, j = -m - g. Let -4/5*d - 6/5*d**3 + 0 + 2*d**m = 0. Calculate d.
0, 2/3, 1
Let c(z) = 2*z**2 + 3*z. Let v be c(-2). Determine j, given that j**2 - 9*j + 7*j + 0*j**v + j = 0.
0, 1
Let d(j) = -6*j + 6. Let x(a) = a**2 + 7*a - 6. Let g(l) = -3*d(l) - 4*x(l). Factor g(m).
-2*(m + 3)*(2*m - 1)
Let c be 0*(3 + 6/(-3)). Suppose c = -5*t + 3 + 7. Factor 0*g - 1/2*g**t - 1/2*g**3 + 0.
-g**2*(g + 1)/2
Suppose -13 = j - 2*j + 2*h, 0 = 5*h + 20. Factor 5 - 3*o**4 + j - 6*o**3 + 6*o - 7.
-3*(o - 1)*(o + 1)**3
Determine d, given that 2*d**3 + 0 + 30/7*d**2 + 2/7*d**4 + 18/7*d = 0.
-3, -1, 0
Let g(v) = -8*v**4 + 18*v**3 + 9*v**2 - 23*v + 4. Let x(q) = -4*q**4 + 9*q**3 + 4*q**2 - 11*q + 2. Let p(u) = 4*g(u) - 10*x(u). Solve p(n) = 0 for n.
-1, 1/4, 1, 2
Let 24/11*w + 2/11*w**5 + 0*w**4 + 0 - 18/11*w**3 - 8/11*w**2 = 0. What is w?
-2, 0, 1, 3
Let i(q) be the second derivative of -q**7/840 - q**4/3 + q. Let x(c) be the third derivative of i(c). Factor x(g).
-3*g**2
Factor -a**2 - 1/2*a**4 + 0*a + 0 + 3/2*a**3.
-a**2*(a - 2)*(a - 1)/2
Suppose -z = -4 - 0. Suppose z*s - 2 = 6. Factor -2/5*m**4 - 4/5*m**3 + 2/5*m**5 + 4/5*m**s + 2/5*m - 2/5.
2*(m - 1)**3*(m + 1)**2/5
Factor -6/7*o - 2/7*o**2 + 8/7.
-2*(o - 1)*(o + 4)/7
Let g(m) = 5*m + 2. Let i be g(0). Let p(z) be the third derivative of 1/480*z**6 + 3*z**i + 0 + 0*z**5 + 0*z**3 + 0*z - 1/96*z**4. Factor p(n).
n*(n - 1)*(n + 1)/4
Let t = -26 + 1. Let j be (2*-2)/(t + 11). Suppose -2/7*g + 2/7*g**2 + 0 - j*g**4 + 2/7*g**3 = 0. Calculate g.
-1, 0, 1
Let w be 10/(-12) - 9/(-6). Let b(m) be the first derivative of -2/3*m**2 + 2/9*m**3 + 2 + w*m. Factor b(x).
2*(x - 1)**2/3
Factor -6 + 9*h + 0 - 31*h**2 + 28*h**2.
-3*(h - 2)*(h - 1)
What is o in 1/4*o**2 + 1/4 - 1/2*o = 0?
1
Let i(c) be the second derivative of -c**5/110 - c**4/66 + 5*c**3/33 - 3*c**2/11 - 24*c. Suppose i(k) = 0. What is k?
-3, 1
Let n(x) be the first derivative of -2*x**5/5 - 2*x**4 - 8*x**3/3 + 14. Factor n(c).
-2*c**2*(c + 2)**2
Let s(g) be the third derivative of 6*g**2 + 0*g**3 + 1/18*g**4 + 0 + 0*g**5 - 1/120*g**6 - 1/630*g**7 + 0*g. Find c such that s(c) = 0.
-2, 0, 1
Let n(i) be the first derivative of i**5/20 - i**3/12 - 10. Suppose n(w) = 0. Calculate w.
-1, 0, 1
Suppose -6 - 15*d - 3*d**3 + d**3 - d**3 - 12*d**2 = 0. What is d?
-2, -1
Let z(x) be the first derivative of -5*x**4/4 + 10*x**3/3 - 5*x**2/2 + 5. Let z(u) = 0. What is u?
0, 1
Let w(o) be the third derivative of o**7/315 - o**6/180 - o**5/90 + o**4/36 - 10*o**2. Factor w(y).
2*y*(y - 1)**2*(y + 1)/3
Let g(b) = 4*b**5 + 24*b**4 + 4*b**3 - 8*b**2 - 8*b + 8. Let r(p) = p**4 - p**3 + p**2 + p + 1. Let h(w) = g(w) - 8*r(w). Determine t, given that h(t) = 0.
-2, -1, 0, 1
Let w(n) be the second derivative of -3/80*n**5 + 1/16*n**4 - 1/40*n**6 - n + 1/8*n**3 + 0 + 0*n**2. Solve w(r) = 0 for r.
-1, 0, 1
Let w(y) be the first derivative of 1/27*y**4 + 0*y**3 - 1/90*y**5 - 3*y - 1 + 0*y**2. Let f(o) be the first derivative of w(o). Factor f(h).
-2*h**2*(h - 2)/9
Suppose 4*r + 4*n = 52, 4 = -2*r - n + 5*n. Suppose -4 = -4*a + r. Factor 21/5*h**a - 21/5*h + 6/5 - 6/5*h**2.
3*(h - 1)*(h + 1)*(7*h - 2)/5
Let z(f) be the first derivative of 9*f**5 - 75*f**4/2 + 140*f**3/3 - 20*f**2 + 13. Suppose z(k) = 0. Calculate k.
0, 2/3, 2
Let m be 0/(-3)*5/(-30)*3. Let y(t) be the first derivative of 2/3*t**3 + 0*t**2 + m*t + 2/5*t**5 + t**4 - 1. Find x, given that y(x) = 0.
-1, 0
Let s(c) = -c**2 + 7*c - 6. Let w(i) = i**2 - i. Let g(k) = -s(k) - 4*w(k). Suppose g(n) = 0. Calculate n.
-2, 1
Suppose -15 = -7*g + 2*g. Factor -2*b**2 - 2*b + g*b + b.
-2*b*(b - 1)
Factor 2/5 - 3*k + 9/5*k**4 - 33/5*k**3 + 37/5*k**2.
(k - 2)*(k - 1)*(3*k - 1)**2/5
Let t be (8/(-2))/(4/(-6)). Let c be ((-8)/6)/((-2)/t). Factor -3/4*u**3 + 0*u + 0 - 1/4*u**c - 1/2*u**2.
-u**2*(u + 1)*(u + 2)/4
Suppose 5*k - 8 = 7. Suppose -23*f + 39*f + 2*f**3 - f**k - 8*f**2 = 0. Calculate f.
0, 4
Let y(q) = 25*q**4 - 43*q**3 - 9*q**2 + 43*q - 11. Let j(d) = -12*d**4 + 22*d**3 + 4*d**2 - 22*d + 6. Let w(b) = 5*j(b) + 2*y(b). Let w(x) = 0. Calculate x.
-1, 2/5, 1, 2
Let d(o) be the first derivative of -2*o**5/25