 2. Let c be n(6). Suppose 3*g = -5*m + 38 - c, 0 = 4*m - 20. Factor 2*r**3 + 0*r**2 - 2*r**2 + 2 + 2*r - 4*r**g.
-2*(r - 1)*(r + 1)**2
Suppose -g + 9 = -3*c, 20 = -4*g + c - 3*c. Let q be (5*(-1)/g)/1. Solve q*x - 2/3 - x**2 = 0 for x.
2/3, 1
Let f(y) be the third derivative of y**5/60 - 7*y**2. Let b(j) = -6*j**2 - 12*j - 18. Let k(s) = -b(s) - 4*f(s). Factor k(h).
2*(h + 3)**2
Let d(m) be the second derivative of -1/15*m**5 - 1/63*m**7 - 1/3*m**2 + 1/15*m**6 - 1/9*m**4 + 1/3*m**3 - m + 0. Suppose d(a) = 0. What is a?
-1, 1
Solve 11*l**4 + 4*l**5 + 5*l**2 + 4*l**4 + 23*l**3 + l**5 - 8*l**3 = 0.
-1, 0
Let w = -209 - -211. Factor -1/3*f**4 - 1/3 - 4/3*f - 4/3*f**3 - 2*f**w.
-(f + 1)**4/3
Let t(n) = -n**3 - 7*n**2 - 4*n - 9. Let y be t(-7). Let o = -16 + y. Factor -4/9*i - 2/9 - 8/9*i**o + 14/9*i**2.
-2*(i - 1)**2*(4*i + 1)/9
Let d(w) be the third derivative of w**7/1365 + w**6/390 + w**5/390 + 5*w**2. Factor d(a).
2*a**2*(a + 1)**2/13
Let v = -35 + 37. Let r(u) be the first derivative of 1/11*u**v + 2/55*u**5 - 2/33*u**3 + 1 + 0*u - 1/22*u**4. What is t in r(t) = 0?
-1, 0, 1
Let j be 2*(3/(-2) + 0). Let t be 6 - -2*(j - -1). Solve 22/5*x + 4*x**3 - 38/5*x**t - 4/5 = 0.
2/5, 1/2, 1
Let v(h) be the first derivative of 5/14*h**4 + 4/7*h - 4 + 6/7*h**3 + h**2 + 2/35*h**5. Determine b so that v(b) = 0.
-2, -1
Find t, given that 4/5*t**2 + 0 - 2*t**3 - 2/5*t**5 + 0*t + 8/5*t**4 = 0.
0, 1, 2
Determine j, given that 3*j**4 - 15*j**2 + 2*j**4 + 598*j - 608*j = 0.
-1, 0, 2
Let u(c) be the first derivative of -c**8/3360 + c**6/240 - c**5/120 - 4*c**3/3 + 7. Let i(t) be the third derivative of u(t). Factor i(z).
-z*(z - 1)**2*(z + 2)/2
Let c(o) be the first derivative of -2*o**3/15 - 2*o**2/5 - 2*o/5 - 5. Factor c(v).
-2*(v + 1)**2/5
Let x(n) be the second derivative of -1/150*n**5 + 0 + 4/15*n**2 + 10*n + 4/45*n**3 - 1/90*n**4. Solve x(d) = 0.
-2, -1, 2
Let 42/11*y**3 - 8/11*y - 16/11*y**2 + 0 = 0. Calculate y.
-2/7, 0, 2/3
Suppose -2*s + 15 = 3*s. Let 21/2*p**2 - 17/2*p**s - 11/2*p + 5/2*p**4 + 1 = 0. What is p?
2/5, 1
Let w(q) be the first derivative of -5 + 0*q + 1/16*q**4 + 0*q**2 + 0*q**3. Determine h so that w(h) = 0.
0
Let o be (152/(-28) - -6)*(-7)/(-10). Factor -2/5 - o*c**2 - 4/5*c.
-2*(c + 1)**2/5
Let u(p) = -p**2 - 9*p - 14. Let d be u(-6). Let q(s) be the third derivative of 0 + 0*s - 2*s**2 - 1/120*s**5 + 1/12*s**d - 1/3*s**3. Let q(o) = 0. What is o?
2
Let k = -17 + 20. Suppose -j**4 + 4*j**4 + j**4 + 0*j**k - 4*j**3 = 0. Calculate j.
0, 1
Determine o, given that 0 - 2*o**2 + 2/3*o**3 + 4/3*o = 0.
0, 1, 2
Determine k, given that 9 - k - 8*k + 7*k**2 - 6*k + k**3 - 2*k**3 = 0.
1, 3
Let m(a) be the first derivative of a**3/18 + a**2/2 + 3*a/2 + 9. Determine o, given that m(o) = 0.
-3
Let a = -3 + 5. Solve 18*z - 2*z**3 - 18*z - 2*z**a = 0.
-1, 0
Let f(n) be the third derivative of -n**6/540 - n**5/270 + 5*n**4/108 - n**3/9 - 8*n**2. Factor f(d).
-2*(d - 1)**2*(d + 3)/9
Let d(j) = -j**2 + 21. Let k be d(0). Let g = k - 41/2. Find c such that 1/2*c**4 - g + 0*c**2 - c + c**3 = 0.
-1, 1
Let m(v) be the second derivative of -21*v**5/20 + 3*v**4 + 2*v**3 + 12*v. Factor m(y).
-3*y*(y - 2)*(7*y + 2)
Suppose 0 = -q + 5*b + 3, q - b + 15 = -2*b. Let a be 4/q*0*1. Let a + 0*f + 0*f**2 + 1/2*f**3 = 0. What is f?
0
Let h(p) = 120*p**4 - 111*p**3 - 129*p**2 + 90*p + 9. Let j(i) = -12*i**4 + 11*i**3 + 13*i**2 - 9*i - 1. Let y(k) = 2*h(k) + 21*j(k). Find g such that y(g) = 0.
-1, -1/4, 1
Let a(b) = -b**3 - 4*b**2 - 2*b - 5. Let y be a(-4). Let w be (3/6)/((-10)/(-8)). Factor 1/5*h**5 + 0*h**y + 2/5*h**2 - w*h**4 - 1/5*h + 0.
h*(h - 1)**3*(h + 1)/5
Let j(a) be the third derivative of 0 + 1/84*a**4 + 1/1260*a**6 - 1/2*a**3 - 1/210*a**5 + 0*a - 3*a**2. Let z(u) be the first derivative of j(u). Factor z(o).
2*(o - 1)**2/7
Let t be 448/720 - 4/10. Let -t*l**2 - 2/3 + 8/9*l = 0. Calculate l.
1, 3
Let b(i) be the first derivative of 1/2*i**2 + 0*i - 9 + 1/6*i**3 - 1/8*i**4. Suppose b(u) = 0. What is u?
-1, 0, 2
Let x(a) = 4*a**4 - 12*a**3 + 12*a**2 - 4*a. Let n(l) = 2*l**4 - 6*l**3 + 6*l**2 - 2*l. Let z(p) = 13*n(p) - 6*x(p). Factor z(r).
2*r*(r - 1)**3
Let j(y) = y**5 - y**2 - y - 1. Let t(z) = -2*z**5 - 2*z**4 + 5*z**2 + 2*z + 3. Suppose 5 = -2*x - 3*x. Let s(a) = x*t(a) - 3*j(a). What is b in s(b) = 0?
-1, 0, 1
Suppose -3*y + 3*n - 5*n = 2, 0 = -4*y - 2*n. Factor d**y - d + 3*d - 3*d**2.
-2*d*(d - 1)
Let z(a) be the first derivative of -64/9*a**3 - 2/9*a**6 - 8/3*a - 6*a**2 - 8/5*a**5 - 7 - 14/3*a**4. Factor z(n).
-4*(n + 1)**4*(n + 2)/3
Let t(m) = -2*m**3 + 2*m**2 + 5. Let h(s) = -2*s**3 + 2*s**2 + 4. Let c(x) = 5*h(x) - 4*t(x). Suppose c(b) = 0. What is b?
0, 1
Let s(t) be the first derivative of t**5/150 - t**4/60 - t**2 + 2. Let p(b) be the second derivative of s(b). Determine o, given that p(o) = 0.
0, 1
Suppose -5*s + 10*s = 0. Let m(j) be the second derivative of 0 - 1/4*j**2 - 1/6*j**3 + s*j**4 + 1/20*j**5 + 1/60*j**6 + 2*j. Factor m(d).
(d - 1)*(d + 1)**3/2
Let x = -2 - -4. Let z = -2 - -4. Suppose j**2 + 4*j + j**3 + 0*j**z - 5*j**x = 0. What is j?
0, 2
Let v(s) be the third derivative of 0*s - 2*s**2 + 1/24*s**4 + 0 + 1/6*s**3 - 1/60*s**5 - 1/120*s**6. Solve v(c) = 0 for c.
-1, 1
Let y = 14 - 10. Factor y + 12*p - 2*p**3 + 3*p**3 + 4 + 6*p**2.
(p + 2)**3
Suppose 4*v + 0*t = 3*t, -2*t = v - 11. Let x be 6*(0 - v/(-27)). Factor -x*n**2 + 0*n + 0.
-2*n**2/3
Let f(k) be the first derivative of -k**5/100 + 7*k**4/120 - k**3/15 - 3*k**2/2 + 4. Let l(o) be the second derivative of f(o). Factor l(t).
-(t - 2)*(3*t - 1)/5
Let h(k) be the first derivative of -k**4/12 + k**3/6 + 5*k - 1. Let q(a) be the first derivative of h(a). Solve q(m) = 0 for m.
0, 1
Factor -48*p**2 - 10*p**4 - 2 - 16*p**4 - 16*p - 8*p**4 + 2*p**4 - 64*p**3.
-2*(2*p + 1)**4
Let x(o) be the second derivative of -o**5/4 + 5*o**4/2 - 15*o**3/2 + 10*o**2 + 2*o. Factor x(r).
-5*(r - 4)*(r - 1)**2
Let o(i) be the third derivative of i**6/600 - i**5/75 + i**4/24 - i**3/15 - 8*i**2. Suppose o(c) = 0. Calculate c.
1, 2
Let b(l) = l**4 - 6*l**3 + 6*l - 3. Let y(a) = 7*a**3 - a**2 - 7*a + 4. Let h(x) = 3*b(x) + 2*y(x). What is s in h(s) = 0?
-1, 1/3, 1
Solve -81*b**5 + 8*b + 44*b**2 + 259*b**3 - 52*b**4 - 120*b**2 + 7*b**4 - 65*b**3 = 0.
-2, 0, 2/9, 1
Suppose -2*p - 4 = -t + 2, -5*t = -p - 12. Solve -c**2 + 6*c**3 - 4*c - 4 - 3*c**t - 10*c = 0 for c.
-1, -1/3, 2
Let i(g) be the first derivative of g**5/15 - g**4/6 + g**2/3 - g/3 + 24. Determine s, given that i(s) = 0.
-1, 1
Let n be 20/6 - 2/6. Suppose 5 = 3*z + k - 2*k, -4*z + 5*k - 8 = 0. Factor -4*y**3 + y + 0*y**n + 3*y**z.
-y*(y - 1)*(y + 1)
Factor -2/3*a**2 + 2/3*a - 2/9 + 2/9*a**3.
2*(a - 1)**3/9
Let k be (2/5)/((-2)/(-20)). Suppose 0 = 2*v + 8, -v + 4*v + 16 = w. Suppose y**4 + 5*y**3 - w - 18*y**2 + 5*y**3 - y**k - 2*y**4 + 14*y = 0. Calculate y.
1, 2
Let p(o) be the third derivative of -1/72*o**4 + 0*o**3 + 0*o + 0 + 1/360*o**6 - o**2 + 0*o**5. Determine c so that p(c) = 0.
-1, 0, 1
Let p be 56/90 + (-24)/60. Factor -p*z**4 + 4/9*z**3 + 0 + 0*z - 2/9*z**2.
-2*z**2*(z - 1)**2/9
Let h be ((-15)/(-6))/5*6. Let q = -1 + h. Factor -b**2 + 17 + 3*b**q - 4*b - 15.
2*(b - 1)**2
Let o(r) = -r**5 + r**4 - r**3 + r**2 - r. Let v(n) = 8*n**5 - 2*n**4 + 6*n**3 - 10*n**2 + 4*n. Let u(q) = -12*o(q) - 2*v(q). Determine g so that u(g) = 0.
-1, 0, 1
Let v be (3/(-6))/(35/(-14)). Let w = 5 - 3. Factor -1/5*k**w - v - 2/5*k.
-(k + 1)**2/5
Let t = -69 + 72. Find x such that -6/7 + 4/7*x**2 - 8/7*x**t + 2/7*x**4 + 8/7*x = 0.
-1, 1, 3
Factor 10 - 20*q - 14*q + 19*q + 5*q**2.
5*(q - 2)*(q - 1)
Let d = -3347 + 16789/5. Factor -d*v**2 - 66/5*v**3 - 21/5*v - 39/5*v**4 - 3/5 - 9/5*v**5.
-3*(v + 1)**4*(3*v + 1)/5
Let w(o) be the third derivative of -o**5/150 - o**4/60 - 21*o**2. Factor w(l).
-2*l*(l + 1)/5
Suppose 4*s + 4*g = 0, 0*s - g - 16 = -3*s. Let w = s + -2. Determine k so that -1/2*k**w + 1/4*k + 1/4*k**3 + 0 = 0.
0, 1
Let w(t) be the first derivative of -7*t**4/20 - 19*t**3/15 - 4*t**2/5 + 4*t/5 - 16. Solve w(g) = 0.
-2, -1, 2/7
Solve -22*i**2 - 6 + 2 - 6*i**3 - 40*i**2 + 30*i + 42*i**3 = 0.
2/9, 1/2, 1
Let f(v) be the first derivative of 0*v - 4/33*v**3 - 1/22*v**4 - 1/11*v**2 - 6. Factor f(w).
-2*w*(w + 1)**2/11
Factor -5*c**3 + 8*c**3 + 0*c**2 + 3*c**