 - 3)*(m - 1)/11
Let t be (-221)/204 + 112/64. Factor -5/3*b**2 + 7/3*b - t.
-(b - 1)*(5*b - 2)/3
Let l = -67 + 67. Suppose -5*v = 0, l = -6*j + 7*j + 5*v - 3. Factor 0*o**2 + o - 1/3*o**j - 2/3.
-(o - 1)**2*(o + 2)/3
Suppose 5*c - z - 14 = 0, 0 = 4*c - 5*c - 4*z - 14. Suppose c*h + 0*h - 5*h = 0. Let -2/5*m**4 + 2/5*m**2 - 8/5*m**3 + h*m + 8/5*m**5 + 0 = 0. Calculate m.
-1, 0, 1/4, 1
Let p(o) be the third derivative of 1/48*o**3 + 0*o**4 + 0*o - 1/480*o**5 + 11*o**2 + 0. Let p(s) = 0. What is s?
-1, 1
Factor 98/9*j - 20/3 + 22/9*j**2.
2*(j + 5)*(11*j - 6)/9
Suppose -3*b = 5*b - 10*b. Let m(h) be the third derivative of 1/120*h**6 + b*h**3 + 0 + 0*h**5 + 0*h + 0*h**4 + 9*h**2. Let m(t) = 0. Calculate t.
0
Let d(o) = -o**3 + 8*o**2 - 6*o - 4. Let c be d(7). Suppose 0 = -5*m - 0*m. Find q, given that q**2 + m + 1/3*q**4 - q**c - 1/3*q = 0.
0, 1
Suppose 2*f + 31 = -3. Let d = -13 - f. Factor -1/2*i**d + 0 + i + 0*i**3 + 3/2*i**2.
-i*(i - 2)*(i + 1)**2/2
Suppose -5*f + 8 = -7. Let y(j) = 1 - j - 7*j**3 + 0*j**f + 6*j**3. Let u(n) = -5*n**3 + n**2 - 3*n + 3. Let s(d) = u(d) - 3*y(d). Let s(g) = 0. Calculate g.
0, 1/2
Let i be 6/4 - (-90)/12. Find u, given that -3/2*u**4 - 3/2 - i*u**2 - 6*u**3 - 6*u = 0.
-1
Factor -8/3 + 50/9*v + 2/9*v**3 - 28/9*v**2.
2*(v - 12)*(v - 1)**2/9
Let t(s) be the first derivative of 3*s**4/8 - 15*s**3/2 + 39*s**2/2 + 27. Factor t(a).
3*a*(a - 13)*(a - 2)/2
Let h be ((-1)/6 + 1/(-6))*-963. Determine y, given that -h*y**2 - 48*y**3 - 849*y + 33*y**2 - 3*y**4 - 768 + 81*y = 0.
-4
Let a be ((-9)/(-2) - 1) + (-2)/4. Determine s, given that -3*s**a + 3*s - 5*s**3 + 9*s**3 - 4*s**3 = 0.
-1, 0, 1
Let t(o) = 30*o**2 - 3*o - 3. Suppose 5*v + 2*c = -30, 0*c + 24 = -4*v - c. Let y(s) = 31*s**2 - 3*s - 3. Let x(r) = v*y(r) + 5*t(r). Factor x(i).
-3*(3*i - 1)*(4*i + 1)
Find h, given that -5*h - 3*h**3 + 4*h**3 + 9*h - 3*h**3 - 2*h = 0.
-1, 0, 1
Suppose 5*v - 40 = -15. Factor 5*n**4 - 45*n**2 + 5 - 45*n + 3 + v*n**3 - 8.
5*n*(n - 3)*(n + 1)*(n + 3)
Let k be (-168)/(-112) + (130/12)/(-13). Find x, given that -2/3*x**2 + k*x**5 + 0*x - 2*x**4 + 0 + 2*x**3 = 0.
0, 1
Let d(n) be the second derivative of n**4/28 - 34*n**3/7 + 1734*n**2/7 + n + 25. Suppose d(z) = 0. What is z?
34
Suppose 0 + 1/3*u**3 + 0*u - u**2 = 0. Calculate u.
0, 3
Let v be (114/24 - 4) + (-12)/16. Let q(x) be the first derivative of -1/12*x**4 + 1/9*x**3 - 2 + v*x**2 + 0*x. Factor q(b).
-b**2*(b - 1)/3
Let a be 2/12 + 28/120. Let k(d) be the first derivative of 5 + 3/10*d**2 + 1/15*d**3 - a*d - 3/20*d**4 + 1/25*d**5. Factor k(n).
(n - 2)*(n - 1)**2*(n + 1)/5
Let y(p) = 3*p**2 + 443*p + 16882. Let x(r) = -r**2 - 148*r - 5627. Let m(s) = 7*x(s) + 2*y(s). What is u in m(u) = 0?
-75
Let r(m) = -2*m**2 - 3. Let f(d) = -3*d**2 - 133*d - 135. Let c(h) = 3*f(h) - 3*r(h). Solve c(q) = 0 for q.
-132, -1
Let h be ((-1)/((-14)/4))/((-105)/(-245)). Let i(f) be the first derivative of f**2 + 1/8*f**4 + 0*f - h*f**3 + 2. Factor i(u).
u*(u - 2)**2/2
Suppose 3*n + 15 = 4*n. Suppose 0 = 2*t + 3*m - 18, 3*t + 3*m = 2*t + n. Factor -50*a**t - 56*a - 76*a**2 + a**5 - a**5 - 2*a**5 - 16 - 16*a**4.
-2*(a + 1)**2*(a + 2)**3
Factor -34/5*n**2 - 4/5*n + 8 - 11/5*n**3.
-(n + 2)**2*(11*n - 10)/5
Let g(z) = 2. Let q(a) = 2*a**3 - 4*a**2 - 8*a + 24. Let b(n) = 4*g(n) - q(n). Factor b(s).
-2*(s - 2)**2*(s + 2)
Suppose 4*n - 14*x = -17*x - 4, 6 = -3*n - 3*x. Factor 0 - 10/3*h**n + 0*h - 5/3*h**4 - 5*h**3.
-5*h**2*(h + 1)*(h + 2)/3
Let b(t) be the first derivative of t + 0*t**3 - 1/6*t**4 + 0*t**2 + 0*t**5 + 1/15*t**6 + 4. Let a(j) be the first derivative of b(j). Solve a(z) = 0 for z.
-1, 0, 1
Suppose 31*b - 39*b + 744 = 0. Let c = 469/5 - b. Find g such that -6/5*g + 2/5*g**3 + c + 0*g**2 = 0.
-2, 1
Let b(g) = -2*g**4 - 2*g**3 + 12*g**2 - 8*g - 8. Let t = -107 + 112. Let k(c) = -2*c**4 - c**3 + 11*c**2 - 8*c - 8. Let x(f) = t*b(f) - 6*k(f). Factor x(w).
2*(w - 2)**2*(w + 1)**2
Let k(l) be the third derivative of -l**9/60480 - l**8/1440 - 7*l**7/720 + 13*l**5/30 - 2*l**2. Let h(a) be the third derivative of k(a). Factor h(r).
-r*(r + 7)**2
Let q(s) be the first derivative of -s**4/12 - 10*s**3/9 + 33. Factor q(d).
-d**2*(d + 10)/3
Let j(z) = -9*z**3 + 26*z**2 - 37*z - 4. Let o(y) = -80*y**3 + 235*y**2 - 335*y - 35. Let t(a) = -35*j(a) + 4*o(a). Find w such that t(w) = 0.
0, 3
Let z(x) = -x**3 - 12*x**2 - 17*x - 3. Let i(w) = w**3 + 2*w**2 - w + 1. Let f(b) = -3*i(b) - z(b). Factor f(p).
-2*p*(p - 5)*(p + 2)
Let b(d) be the third derivative of -d**5/6 - d**4 - 7*d**3/3 + 12*d**2 + 12*d. Factor b(a).
-2*(a + 1)*(5*a + 7)
Let n be (-14)/(-6) + 2/(-6) + (-47)/(-94). Factor -n*d - 1/2*d**2 - 3.
-(d + 2)*(d + 3)/2
Suppose -n = -24 + 22. What is s in 2598 + 6*s**2 - s**n - 2598 = 0?
0
Let v(q) be the second derivative of q**4/2 - 15*q**3/2 + 21*q**2/2 - 58*q. Factor v(g).
3*(g - 7)*(2*g - 1)
Solve -6*r**3 + 47*r**3 + 5*r**3 + 2*r + 2*r**4 - 2*r = 0.
-23, 0
Solve -8/9*n**2 - 2/9*n**3 - 2/9*n + 4/3 = 0 for n.
-3, -2, 1
Let c(r) be the third derivative of r**5/70 + 5*r**4/21 - r**2 - 14*r. Solve c(k) = 0 for k.
-20/3, 0
Let f = 857 + -852. Let u(x) be the second derivative of 4*x + 0*x**3 - 7/20*x**f + 0*x**2 + 1/6*x**4 + 0. Factor u(v).
-v**2*(7*v - 2)
Let v(n) be the first derivative of n**7/210 - n**5/30 - 6*n**3 + 29. Let c(o) be the third derivative of v(o). Factor c(l).
4*l*(l - 1)*(l + 1)
Factor -441/5 - 1/5*s**2 - 42/5*s.
-(s + 21)**2/5
Suppose 12 = 1504*u - 1509*u + 2*g, -4*g = -4*u - 24. Factor -2/13*j**4 + 2/13*j**3 + u - 2/13*j + 2/13*j**2.
-2*j*(j - 1)**2*(j + 1)/13
Let x = 219 + -219. Let s(c) be the second derivative of 1/72*c**4 + 0*c**2 + 1/120*c**5 - 1/90*c**6 + x + 0*c**3 - c. Factor s(o).
-o**2*(o - 1)*(2*o + 1)/6
Let t(k) be the second derivative of k**6/10 - 6*k**5/5 + 21*k**4/4 - 9*k**3 - 49*k. Factor t(f).
3*f*(f - 3)**2*(f - 2)
Suppose 0 = -p - 67 + 72. Let f(g) = 10*g**4 - 10*g**2. Let h(c) = -11*c**4 + 10*c**2 + 1. Let j(i) = p*h(i) + 6*f(i). Factor j(o).
5*(o - 1)**2*(o + 1)**2
Let z = -11/6 + 41/22. Let w(v) be the third derivative of 4*v**2 + z*v**3 - 1/66*v**4 + 0*v + 1/330*v**5 + 0. Solve w(b) = 0.
1
Let o(s) be the first derivative of 1/165*s**6 + 1/33*s**3 - 2*s + 0*s**2 - 1/110*s**5 - 1/66*s**4 + 8. Let g(u) be the first derivative of o(u). Factor g(q).
2*q*(q - 1)**2*(q + 1)/11
Let g(n) be the first derivative of -n**7/945 + n**6/540 + n**5/135 - 19*n**2/2 + 13. Let s(a) be the second derivative of g(a). Factor s(j).
-2*j**2*(j - 2)*(j + 1)/9
Determine w so that 6/7 - 3/7*w**2 + 3/7*w = 0.
-1, 2
Let m(d) be the third derivative of -d**5/630 + d**4/84 - 2*d**3/63 + 84*d**2. Suppose m(a) = 0. Calculate a.
1, 2
Let o(r) be the second derivative of r**5/40 + 13*r**4/24 - 35*r**3/4 + 171*r**2/4 - 489*r. Find z, given that o(z) = 0.
-19, 3
Let o(a) be the first derivative of 3/2*a**4 + 17 + 1/9*a**6 - 14/9*a**3 + 2/3*a**2 - 2/3*a**5 + 0*a. Factor o(c).
2*c*(c - 2)*(c - 1)**3/3
Factor -3*c**3 + 2*c**2 - 1/3*c + 0 + 4/3*c**4.
c*(c - 1)**2*(4*c - 1)/3
Let u(a) be the first derivative of -a**5/120 - a**4/24 + a**2/3 + 6*a - 2. Let l(z) be the first derivative of u(z). Factor l(t).
-(t - 1)*(t + 2)**2/6
Let p be 2/(-2 + (-15)/(-6)). Solve 4*f**5 - 1149*f**2 + 1149*f**2 + 12*f**p + 8*f**3 = 0 for f.
-2, -1, 0
Let j(i) be the first derivative of 2*i**5/15 + 2*i**4/3 + i**3 - 3*i - 7. Let h(z) be the first derivative of j(z). Factor h(b).
2*b*(2*b + 3)**2/3
Let y(h) be the first derivative of h**8/2520 - h**7/630 + h**5/90 - h**4/36 + 7*h**3/3 - 12. Let w(z) be the third derivative of y(z). Factor w(c).
2*(c - 1)**3*(c + 1)/3
Let j(r) be the first derivative of 8*r**6/3 + 88*r**5/5 + 153*r**4/4 + 109*r**3/3 + 31*r**2/2 + 3*r + 20. Find z, given that j(z) = 0.
-3, -1, -1/4
Let y(b) be the first derivative of -b**6/2 + 3*b**5/5 + 9*b**4/2 + 2*b**3 - 15*b**2/2 - 9*b + 162. Factor y(j).
-3*(j - 3)*(j - 1)*(j + 1)**3
Let i(t) = -t**3 + 1. Let n(o) = -16*o - 2*o**3 + 11*o - 4 + 7*o**2 + 4*o**2. Let u(l) = -2*i(l) - n(l). Suppose u(d) = 0. What is d?
-1/4, 1, 2
Let r(c) be the first derivative of -3*c**4/4 + 20*c**3 + 3*c**2/2 - 60*c - 82. Factor r(b).
-3*(b - 20)*(b - 1)*(b + 1)
Let b(n) be the third derivative of n**7/1785 + n**6/510 - 23*n**5/510 - 2*n**4/17 + 48*n**3/17 - 249*n**2. Facto