2)
Let b(z) be the first derivative of z**7/210 + z**6/150 - 7*z - 3. Let l(y) be the first derivative of b(y). Factor l(d).
d**4*(d + 1)/5
Let i(a) = -a + 8. Let t be i(6). Let v = t - 0. Solve -1/4*m**v + 0*m + 1/4 = 0.
-1, 1
Let u(a) be the second derivative of -a**7/231 + a**5/110 + 2*a - 59. Factor u(j).
-2*j**3*(j - 1)*(j + 1)/11
Let u(g) be the second derivative of g**7/105 - 3*g**5/50 + g**4/15 - 16*g. Factor u(j).
2*j**2*(j - 1)**2*(j + 2)/5
Let d = 43 + -40. Factor -2/7 + 4/7*j**d + 0*j**2 - 4/7*j + 2/7*j**4.
2*(j - 1)*(j + 1)**3/7
Let t(c) = -c**2 - c - 5. Let j be t(0). Let g(f) = 7*f**2. Let u(p) = -p**2. Let o(l) = j*u(l) - g(l). Factor o(z).
-2*z**2
Let q(l) be the second derivative of -l**4/66 - l**3/33 - 33*l. Find v, given that q(v) = 0.
-1, 0
What is m in -1/3*m**2 + 2*m + 7/3 = 0?
-1, 7
Let b be 182/70 + 2/5. Solve 33*z + b + 51*z**3 + 15*z**4 + 63*z**2 + 3 + 2 - 2 = 0.
-1, -2/5
Let g(t) be the second derivative of 3/20*t**5 - 1/10*t**6 + 0 + t + 1/2*t**4 + 0*t**2 + 0*t**3. Find m such that g(m) = 0.
-1, 0, 2
Let i(y) be the third derivative of y**8/672 + y**7/315 + y**6/720 - 32*y**2. Factor i(l).
l**3*(l + 1)*(3*l + 1)/6
Let h(l) be the second derivative of l**6/120 + l**5/40 - l**4/48 - l**3/12 - 8*l. Factor h(p).
p*(p - 1)*(p + 1)*(p + 2)/4
Let s(g) be the third derivative of g**6/480 - g**4/96 - 3*g**2. Determine r so that s(r) = 0.
-1, 0, 1
Suppose -3*s + 14 = -4. Let n(r) = -r + 8. Let m be n(s). Let 0 - w - 1/2*w**m = 0. What is w?
-2, 0
Suppose 5*x - 16 = 29. Suppose 5*a + 4 = x. Factor -a - b + 3*b**2 - 3*b**4 - b**3 + b**4 + 2*b**3.
-(b - 1)**2*(b + 1)*(2*b + 1)
Let t(p) = p**2 + 1. Let l(q) be the third derivative of q**5/10 - q**4/12 + q**3 + 2*q**2. Let k(w) = l(w) - 5*t(w). Factor k(m).
(m - 1)**2
Solve 3*l**2 + 5*l**2 + 2*l - 10*l**2 - 10*l - 8 = 0 for l.
-2
Factor 1/4 + 1/4*v - 1/4*v**3 - 1/4*v**2.
-(v - 1)*(v + 1)**2/4
Let q(s) be the second derivative of s**5/10 + s**4/6 - 2*s**3/3 - 9*s. Factor q(n).
2*n*(n - 1)*(n + 2)
Let g(k) be the third derivative of -k**8/42 + k**7/21 - k**6/60 - 20*k**2. Solve g(u) = 0 for u.
0, 1/4, 1
Let o be (-132)/(-30) + 4/(-10). Suppose o*h = h + 9. Factor u**4 + 6*u**2 - 2 - 5*u**3 + u**3 + h - 4*u.
(u - 1)**4
Let k be ((-20)/5)/(-4) + 1. Let b(c) be the third derivative of 0 - 2*c**k - 1/84*c**4 + 0*c + 2/21*c**3 - 1/210*c**5. Factor b(l).
-2*(l - 1)*(l + 2)/7
Suppose 0 = 8*d - 6*d. Let k(y) be the third derivative of 0*y - 1/210*y**5 + d*y**6 + 0 + 1/735*y**7 + 0*y**3 + 0*y**4 + 2*y**2. Factor k(h).
2*h**2*(h - 1)*(h + 1)/7
Let s = -20 + 14. Let b be (-16)/s - 1/(-3). Factor b*f**2 - 5*f**2 - f**2 - f - 12 + 13*f.
-3*(f - 2)**2
Let l(x) = -x**5 + 4*x**4 + x**3 - 4*x**2 + 4*x. Let d(n) = 2*n**5 - 8*n**4 - n**3 + 8*n**2 - 8*n. Let u(y) = 4*d(y) + 7*l(y). Find a, given that u(a) = 0.
-1, 0, 1, 2
Let s(c) be the second derivative of c**6/1260 + c**5/420 - 2*c**3/3 - 2*c. Let d(f) be the second derivative of s(f). Let d(b) = 0. What is b?
-1, 0
Suppose -165 = -18*p - 129. Factor 4/15*y + 8/15*y**3 - 2/3*y**p - 2/15*y**4 + 0.
-2*y*(y - 2)*(y - 1)**2/15
Suppose 7*j - 3*u = 2*j + 3, -j = -4*u + 13. Suppose -16 - 34*y + 28*y**j - 21*y + 7*y + 36*y**2 = 0. Calculate y.
-2, -2/7, 1
Suppose 0 = 5*u - 10, -6*l + 4*l - 2*u = 6. Let n = l + 16/3. Factor -1/3*v**2 + 0 + 5/3*v**4 - n*v**3 - v**5 + 0*v.
-v**2*(v - 1)**2*(3*v + 1)/3
Let q = 1272 + -1269. Factor 0 + 2/3*n**q + 2/9*n - 8/9*n**2.
2*n*(n - 1)*(3*n - 1)/9
Let n(y) be the second derivative of -y**9/1680 + y**8/448 - y**7/840 - y**6/240 - y**4/4 - 5*y. Let c(w) be the third derivative of n(w). Factor c(j).
-3*j*(j - 1)**2*(3*j + 1)
Let a = 1 - -3. Determine c, given that -a*c**2 - 3*c**2 + 3*c**2 - 6*c**4 - 12*c**3 + c**4 = 0.
-2, -2/5, 0
Let i(x) be the first derivative of -x**4/6 - x**3 + 3*x - 3. Let c(l) be the first derivative of i(l). Factor c(r).
-2*r*(r + 3)
Let 2/13*n**4 + 0 + 0*n**3 - 4/13*n - 6/13*n**2 = 0. What is n?
-1, 0, 2
Let w be (-63)/(-300) + 5/(-25). Let n(f) be the second derivative of 0*f**2 + 0*f**4 + 0 - 2*f - w*f**5 + 0*f**3 + 1/150*f**6. Solve n(a) = 0.
0, 1
Determine h so that 201 + 4*h - 5*h**2 + h**3 - 201 = 0.
0, 1, 4
Let o = -4 - -6. Find i, given that -4*i + 1 + 4*i - i**o = 0.
-1, 1
Let d be 1/(-1)*(-4 + 2). Suppose 4 = 4*w - d*w. Determine c, given that -12 - 5*c**w + 8*c + 4 + 3*c**2 = 0.
2
Let n(a) = a**3 + a**2 - 3*a + 2. Let g be n(-2). Suppose -y + 3 = -i + 4, g*y = i + 11. Factor 0*v**3 + 0 - 1/5*v**y + 0*v + 1/5*v**2.
-v**2*(v - 1)*(v + 1)/5
Let g(r) be the second derivative of -r**7/168 + r**5/80 + 19*r. Suppose g(p) = 0. What is p?
-1, 0, 1
Let z be 73/5 + (-8)/(-20). Suppose -2*m + 4 = -4*k + 18, 4*k - 3*m - z = 0. Factor -4*o**2 - 2*o**k - 9 + 9.
-2*o**2*(o + 2)
Let i(f) = -f**2 - 8*f - 4. Let j be i(-8). Let w be 2 - (-3)/(6/j). Suppose w - 7/2*a**3 - a**2 + 0*a = 0. What is a?
-2/7, 0
Suppose -2*q + 0*q = -30. Suppose -2*l = l - q. Factor -m - 4*m**4 + 2*m**2 + 0*m**l + 2*m**4 + m**5.
m*(m - 1)**3*(m + 1)
Suppose -5*m + 13 = -4*m. Suppose -5*b = -2*i - m, 3 = 4*b - 5*i - 4. Factor 8/7*y**4 - 2*y**b + 0 + 4/7*y**2 + 2/7*y.
2*y*(y - 1)**2*(4*y + 1)/7
Suppose 7*n = 5*n + 6. Determine z, given that -5*z**n + 5*z**4 - 3*z**2 + 3*z**3 - 2*z**4 - z**3 + 3*z = 0.
-1, 0, 1
Let w(g) be the third derivative of -g**8/112 + 13*g**7/210 - 17*g**6/120 + g**5/20 + g**4/3 - 2*g**3/3 + 13*g**2. Factor w(h).
-(h - 2)*(h - 1)**3*(3*h + 2)
Suppose 3*f - 4*f = -2. Let t(g) be the first derivative of -113/3*g**3 + 784/5*g**5 + 4*g - 3 - 113/4*g**4 + f*g**2 + 392/3*g**6. Suppose t(o) = 0. What is o?
-1, -2/7, -1/4, 1/4, 2/7
Factor -231*s**2 + 230*s**2 + 3 + 4*s - 2*s.
-(s - 3)*(s + 1)
Let k(s) = -14*s**2 - 16*s. Let f(d) = -4*d**2 + 5*d - 1. Let x(p) = -p**2 + p. Let l(v) = f(v) - 5*x(v). Let a(u) = k(u) + 8*l(u). Factor a(w).
-2*(w + 2)*(3*w + 2)
Let k(h) be the second derivative of h**6/150 - h**5/25 + h**4/12 - h**3/15 + 5*h. Suppose k(r) = 0. Calculate r.
0, 1, 2
Let x(w) be the second derivative of w**7/14 - w**6/10 - 3*w**5/10 + w**4/2 + w**3/2 - 3*w**2/2 + 7*w. Factor x(z).
3*(z - 1)**3*(z + 1)**2
Factor -25*c + 5/2*c**2 + 45/2.
5*(c - 9)*(c - 1)/2
Let q = -56 + 282/5. Let f(m) be the first derivative of -1/10*m**4 - 8/5*m + q*m**3 + 0*m**2 + 4. Factor f(o).
-2*(o - 2)**2*(o + 1)/5
Let n(c) = -c**4 - 4*c**2 + 6*c + 5. Suppose 4*o - 12 = 2*o. Let i(d) = -d**4 - 3*d**2 + 5*d + 4. Let u(b) = o*i(b) - 5*n(b). Factor u(p).
-(p - 1)**2*(p + 1)**2
Suppose 20*j - 9*j - 44 = 0. Solve -11*h + 25/4*h**j - 55/2*h**3 + 141/4*h**2 + 1 = 0 for h.
1/5, 2
Let s be (9/(-6) + 1)*-8. Factor -2*i**s - 2 + 0*i + 0*i + 4*i**2.
-2*(i - 1)**2*(i + 1)**2
Let w(z) be the third derivative of -z**8/336 + z**7/42 - 3*z**6/40 + 7*z**5/60 - z**4/12 + 43*z**2. Find s such that w(s) = 0.
0, 1, 2
Let t = 2113/390 - 70/13. Let u(r) be the second derivative of 0 + 0*r**3 + 1/100*r**5 - 3*r + t*r**4 + 0*r**2. Determine o, given that u(o) = 0.
-2, 0
Let j(s) be the first derivative of -s**5/110 + s**4/66 + s - 3. Let b(l) be the first derivative of j(l). Let b(g) = 0. Calculate g.
0, 1
Let n(o) be the second derivative of 2*o**6/15 - 3*o**5/5 - 3*o**4 - 10*o**3/3 - 23*o. Factor n(h).
4*h*(h - 5)*(h + 1)**2
Let z(x) = -8*x**5 + 8*x**4 + 3*x**3 + 2*x**2 - 5. Let w(h) = 7*h**5 - 7*h**4 - 3*h**3 - h**2 + 4. Let i(r) = 5*w(r) + 4*z(r). Suppose i(c) = 0. Calculate c.
-1, 0, 1
Let g = -73 + 77. Let j(t) be the third derivative of 0*t + 1/9*t**3 + 0 - t**2 + 1/180*t**5 - 1/24*t**g. Factor j(s).
(s - 2)*(s - 1)/3
Factor 2*z**5 + 2457*z**2 + 4*z - z**5 - 2460*z**2 - 5*z**3 + 3*z**4.
z*(z - 1)**2*(z + 1)*(z + 4)
Let b be 4/(-1) + 32/8. Let b*h**3 + 2/3*h**4 + 0*h**2 + 0*h + 0 - 2/3*h**5 = 0. What is h?
0, 1
Suppose 15 = 5*u - 0. Factor -u*y**4 + 5*y**5 + 4*y**2 - y**4 - 3*y**5 - 2*y.
2*y*(y - 1)**3*(y + 1)
Suppose -5*o = -2*o - 24. Suppose 2*h + o - 12 - 4*h**3 + 8*h**2 - 4*h**4 + 2*h**5 + 0*h**5 = 0. What is h?
-1, 1, 2
Factor -g**2 - 4/3*g**3 - 1/3*g**4 + 4/3*g + 4/3.
-(g - 1)*(g + 1)*(g + 2)**2/3
Suppose 3*f + 1 - 4 = 0. Let v = f - -1. Factor 2*o**4 - 2*o + o**4 + 2*o**3 - 4*o**4 + 3 - v.
-(o - 1)**3*(o + 1)
Let g(v) = -v**2 + 17*v - 28. Let h be g(15). Factor 1/4*s**4 - 3/4*s**h + 1/2*s**3 + 1 - s.
(s - 1)**2*(s + 2)**2/4
Let x(c) = 2*c**2 