**2. Let s(z) be the second derivative of m(z). Solve s(q) = 0.
0, 1, 2
Let y be (-24)/(-14) + (-6)/(-21). Let z be y/10 - 6/(-20). Factor -s**3 - 3/2*s**2 + z + s**4 + 1/4*s + 3/4*s**5.
(s - 1)*(s + 1)**3*(3*s - 2)/4
Let v = 53 - 475/9. Let z(i) be the second derivative of -v*i**3 + 0*i**2 - 7/20*i**5 + 1/10*i**6 + 0 + 4/9*i**4 - 2*i. Let z(a) = 0. Calculate a.
0, 2/3, 1
Let v = -5 + 9. Let h = 38 + -33. Solve 0 + 0*j + j**2 - 7/2*j**h + 8*j**v - 11/2*j**3 = 0 for j.
0, 2/7, 1
Let m(w) be the first derivative of -w**4 - 12*w**3 - 54*w**2 - 108*w - 4. Factor m(a).
-4*(a + 3)**3
Suppose -8 = -2*w - 0*p + 2*p, p - 1 = 0. Find t such that 2*t - t - 2*t**4 + 0*t**4 - 2*t**w + 2*t**2 + t**5 = 0.
-1, 0, 1
Let d(u) = u**3 + 6*u**2 + 5*u + 3. Let b be (12/(-4) + -2)*1. Let x be d(b). Let 0*o**x + 0 + 0*o - 1/3*o**4 + 1/3*o**2 = 0. What is o?
-1, 0, 1
Let i(x) = 7*x**2 - x - 6. Let o(d) = 20*d**2 - 3*d - 17. Suppose 3*w = 4*q - 55, -w + 2*q - 70 = 3*w. Let j(y) = w*i(y) + 6*o(y). Find b, given that j(b) = 0.
0, 1
Let l(p) be the third derivative of -3*p**3 - 1/10*p**5 - 6*p**2 + 0 + 1/180*p**6 + 0*p + 3/4*p**4. Factor l(x).
2*(x - 3)**3/3
Let v(s) be the first derivative of -s**4/10 + 2*s**3/3 - 7*s**2/5 + 6*s/5 - 5. Factor v(j).
-2*(j - 3)*(j - 1)**2/5
Let p be 24 - (-3 + (-4 - -3)). Let y be (-3)/21*p/(-16). Suppose 0 - 3/4*z**4 - y*z**2 + 0*z - 3/4*z**3 - 1/4*z**5 = 0. Calculate z.
-1, 0
Let k(d) = 6*d**3 + 6*d**2 - 3*d - 6. Let n(z) = 7*z**3 + 7*z**2 - 3*z - 7. Let y(o) = 4*k(o) - 3*n(o). What is a in y(a) = 0?
-1, 1
What is a in -4/15*a**2 + 2/15*a**3 + 4/15 - 2/15*a = 0?
-1, 1, 2
Suppose 0 = 3*a - 18. Let c(r) = -r**3 + 7*r**2 - 7*r + 9. Let k be c(a). Factor b**5 + 0*b**4 - b**2 - 3*b**4 + 4*b**4 - b**k.
b**2*(b - 1)*(b + 1)**2
Let h(c) be the first derivative of c**3/3 - 5*c**2/4 + c + 15. Factor h(d).
(d - 2)*(2*d - 1)/2
Factor 1/2*c**3 - 1/2*c**2 + 0*c + 0.
c**2*(c - 1)/2
Let r be 1/1*5/(-5). Let h = 2 - r. Let 3 + 0 + v + 2*v + 0 - 3*v**2 - h*v**3 = 0. Calculate v.
-1, 1
Suppose -2*n + 2 = p, -2*n = -3*p - 3*n + 1. Let o(r) be the first derivative of 2 + p*r**2 + 0*r**3 - 1/5*r**5 - 1/4*r**4 + 0*r. Factor o(d).
-d**3*(d + 1)
Let f(c) be the second derivative of 5*c**8/336 - c**7/28 + c**6/30 - c**5/75 + c**3/6 + 3*c. Let x(b) be the second derivative of f(b). Factor x(m).
m*(5*m - 2)**3/5
Suppose w - 15 = 2*n + 2*n, 5*n = 2*w - 21. Let g be (w + 3 - 4)/5. Factor g*b**2 - 1/5*b**5 - 2/5*b**4 + 0 + 1/5*b + 0*b**3.
-b*(b - 1)*(b + 1)**3/5
Let z(m) be the second derivative of 0*m**4 - 2/3*m**3 + 1/5*m**5 - m**2 + 0 - m + 1/15*m**6. Solve z(d) = 0.
-1, 1
Let b be (-4)/20 + (-123)/(-15). Suppose 5*p - b - 2 = 0. Factor 3*t**p - 3*t**2 - 4*t**2 + t**2.
-3*t**2
Let c be 1 + -1 + (-6)/(-9). Let w(y) = -3*y - 10. Let s be w(-4). Factor -5/3*p**4 + c*p**3 + 0*p**s + 0*p + 0.
-p**3*(5*p - 2)/3
Let c(l) be the third derivative of -l**5/390 + l**3/39 - 48*l**2. Factor c(k).
-2*(k - 1)*(k + 1)/13
Let t(v) be the third derivative of 1/3*v**3 + 1/168*v**8 - 1/30*v**6 + 0*v + 1/105*v**7 + 0 - 1/15*v**5 - v**2 + 1/12*v**4. Determine u so that t(u) = 0.
-1, 1
Let p(o) be the second derivative of o**4/36 - 2*o**3/9 - 5*o**2/6 + 27*o. Solve p(k) = 0 for k.
-1, 5
Let c be 3/(-1)*(-28)/12. Let w(p) = -c + 3*p**2 + 6*p + 1 - 2*p**2. Let z(u) = u**2 + 5*u - 5. Let x(l) = 5*w(l) - 6*z(l). Solve x(j) = 0.
0
Let i(n) be the second derivative of -n**6/30 - 7*n**5/40 - 7*n**4/24 - n**3/6 + 3*n. Factor i(g).
-g*(g + 1)*(g + 2)*(2*g + 1)/2
Let g(c) be the third derivative of -c**8/840 + c**7/525 + c**6/300 - c**5/150 + 22*c**2. Suppose g(t) = 0. Calculate t.
-1, 0, 1
Let k(v) be the first derivative of -v**7/84 + v**6/30 + v**5/40 - v**4/12 - 2*v - 2. Let d(n) be the first derivative of k(n). Suppose d(h) = 0. What is h?
-1, 0, 1, 2
Let p(o) be the second derivative of o**6/40 - 9*o**5/40 + 3*o**4/4 - 5*o**3/4 + 9*o**2/8 + 11*o. Factor p(m).
3*(m - 3)*(m - 1)**3/4
Let t = 179/1128 + 3/376. Find w such that t*w**3 - 1/6*w**2 - 1/6*w + 1/6*w**4 + 0 = 0.
-1, 0, 1
Let w = 66 - 33. Let o be ((-1)/2)/(((-52)/(-24))/(-13)). Factor 8*q**4 - w*q**o - 15*q**2 + 3*q - 5*q + 0*q - 28*q**4.
-q*(q + 1)*(4*q + 1)*(5*q + 2)
Let m(u) be the second derivative of u + 0 + 0*u**2 + 1/21*u**3 + 0*u**5 - 2/105*u**6 + 1/21*u**4 - 1/147*u**7. Factor m(v).
-2*v*(v - 1)*(v + 1)**3/7
Suppose 29 = 3*n - 5*d, 7 = -5*n + 3*d + 50. Suppose s = 6*r - 3*r - n, 0 = 3*r - 5*s + 8. Suppose 2*b + 6*b - 3*b**3 - 4*b + b**r = 0. What is b?
-1, 0, 2
Let f(x) be the third derivative of -x**8/3360 + x**7/525 - x**6/600 - x**5/150 + x**4/80 + 10*x**2. What is s in f(s) = 0?
-1, 0, 1, 3
Let p be 2*3/(-15)*-10. Let v = p - 2. Solve 7*t**3 - 5*t**3 - 2*t**2 - 3*t + v*t**4 + t = 0.
-1, 0, 1
Let g(j) = -j**2 - 1. Let z(s) = -2*s + 8. Let y be z(7). Let f(x) = -2*x**3 + 8*x**2 + x + 4 + 2*x - x. Let h(k) = y*g(k) - f(k). Let h(o) = 0. What is o?
-1, 1
Suppose -g = 3*w + 21, 0*g = -g + w - 1. Let r be 4/g + 4/4. Solve 0 - 2/3*t + 1/3*t**3 + r*t**2 = 0.
-2, 0, 1
Let w be 4/(-14) + 120/28. Solve 0*b**5 - 2*b + 5*b**5 + 24*b**2 - 4 - 4*b**w + b**5 - 20*b**3 = 0.
-2, -1/3, 1
Factor 4*n**4 - 4*n**2 - 2*n**4 + 0*n + 2 + 0*n.
2*(n - 1)**2*(n + 1)**2
Suppose -3*h + 1 = -2*h - 4*k, 2*h - 4*k = -2. Let p = -1 - h. Let 3*l**4 + 3*l**3 + l**2 + 0*l**2 - p*l**5 + 3*l**5 = 0. Calculate l.
-1, 0
Let r(f) be the second derivative of -3*f + 0 - 1/12*f**3 + 1/40*f**5 + 0*f**4 + 0*f**2. Factor r(j).
j*(j - 1)*(j + 1)/2
Let h(a) be the first derivative of -4*a**5/5 - a**4 + 4*a**3/3 + 2*a**2 - 4. Factor h(z).
-4*z*(z - 1)*(z + 1)**2
Determine h so that 4 + 6*h + h - 450*h**2 + 447*h**2 + 2 = 0.
-2/3, 3
Suppose 10/7*f - 2/7 + 2/7*f**5 - 20/7*f**2 + 20/7*f**3 - 10/7*f**4 = 0. What is f?
1
Let j(a) = -a**2 + 3*a + 2. Let q(d) = d + 10. Let z be q(-7). Let k be j(z). Factor 0*w - w - w**k + 0*w**2.
-w*(w + 1)
Let a(w) be the first derivative of -2*w**3/9 - 5*w**2/3 + 4*w - 30. Determine z so that a(z) = 0.
-6, 1
Suppose -2*m = 3*r + 5, -2*r - 9 = r. Let w be (-1)/(-8)*m - 0. Solve -1/2*d**3 + 1/2*d + 0*d**2 - 1/4*d**4 + w = 0.
-1, 1
Let o(n) = 3 + n + 0*n - 1. Let x be o(-2). Factor 0 - 2/3*r**4 - 7/3*r**5 + x*r + 0*r**2 + 0*r**3.
-r**4*(7*r + 2)/3
Let m(z) be the first derivative of 12/7*z**5 - 3/7*z**6 - 4/7*z**2 + 40/21*z**3 - 37/14*z**4 + 0*z + 6. Find s, given that m(s) = 0.
0, 2/3, 1
Solve 10*h**4 + 4*h**5 + 7*h**2 + 32*h**3 - 5*h**2 - 66*h**2 + 18*h**4 = 0.
-4, 0, 1
Let b(l) be the first derivative of 1/4*l**4 - 1 - 1/3*l**3 + 0*l**2 + 0*l. Let b(s) = 0. Calculate s.
0, 1
Let r(p) be the second derivative of -p**4/4 + 2*p**3 - 6*p**2 - 19*p. Factor r(d).
-3*(d - 2)**2
Let z = -10 - -8. Let c be 4 - 1 - (z + 5). Factor 0*a**3 + 1/2*a**4 + 1/2 - a**2 + c*a.
(a - 1)**2*(a + 1)**2/2
Let u = 12 - 15. Let v be u - (3 + 0 + -6). Factor -2/7*g + 4/7*g**2 + 2/7*g**5 + 0 + v*g**3 - 4/7*g**4.
2*g*(g - 1)**3*(g + 1)/7
Suppose 5 = 2*l + l + 4*n, -4*n = -4*l - 12. Let s be l + ((-5)/4)/(-1). Factor -1/2*d**2 + 0 + s*d + 1/4*d**3.
d*(d - 1)**2/4
Let g(f) be the third derivative of f**5/390 - f**4/78 + f**3/39 - 8*f**2. Find y such that g(y) = 0.
1
Let s(c) be the third derivative of c**7/630 - c**6/90 + c**5/36 - c**4/36 + 34*c**2. Factor s(x).
x*(x - 2)*(x - 1)**2/3
Let t(r) be the second derivative of r**4/30 - r**3/15 - 2*r**2/5 - 7*r. Suppose t(c) = 0. What is c?
-1, 2
Let s(t) = -9*t**4 - 24*t**3 - 60*t**2 - 78*t - 21. Let o(z) = -25*z**3 - 61*z**2 - 8*z**4 - 77*z - 22 + z**3 + 0*z**3. Let y(u) = 6*o(u) - 5*s(u). Factor y(f).
-3*(f + 1)**2*(f + 3)**2
Let n(l) be the first derivative of -8/15*l**3 - 5 - 5/2*l**4 + 4/5*l**2 + 2*l**5 + 0*l. Suppose n(w) = 0. Calculate w.
-2/5, 0, 2/5, 1
Let b(p) be the second derivative of -25*p**6/24 + 15*p**5/8 - 5*p**4/4 + p**3/3 - 10*p. Factor b(c).
-c*(5*c - 2)**3/4
Let h(g) be the second derivative of g**5/4 - 5*g**4/6 - 5*g**3/6 + 5*g**2 - 11*g. Factor h(q).
5*(q - 2)*(q - 1)*(q + 1)
Let f(z) be the first derivative of z**5 - 10*z**3/3 + 5*z + 4. Let f(j) = 0. What is j?
-1, 1
Let y(w) be the first derivative of -w**6/360 + w**5/24 - w**4/6 - 5*w**3/3 - 4. Let r(h) be the third derivative of y(h). Determine d so that r(d) = 0.
1, 4
Factor 0 + 0*v - 1/3*v**2.
-v**2/3
Factor -32/5*n - 14/5*n**2 - 24/5 - 2/5*n*