+ 0*i**6 + 0*i**5. Factor n(h).
h**4*(3*h - 2)/3
Suppose 51 = 6*h + 39. Suppose 0*i + 0 + 2/5*i**3 - 2/5*i**5 + 2/5*i**h - 2/5*i**4 = 0. Calculate i.
-1, 0, 1
Let a be (7/14)/((-3)/(-18)). Let n(l) be the first derivative of 0*l**2 - 1 + 1/15*l**5 + 0*l**a + 1/18*l**6 + 0*l**4 + 0*l. Factor n(b).
b**4*(b + 1)/3
Factor -1/2*t**2 + 1/4*t**3 + 0*t + 0.
t**2*(t - 2)/4
Let v be 528/(-120)*(-10)/2. Find o such that 25/2*o**3 - 2*o**4 + v*o - 27*o**2 - 4 = 0.
1/4, 2
Let l(j) be the second derivative of -3/4*j**2 + 1/8*j**4 + 5*j + 0 - 1/8*j**3 + 3/80*j**5. Factor l(d).
3*(d - 1)*(d + 1)*(d + 2)/4
Let p(i) be the third derivative of -1/540*i**6 + 1/90*i**5 - 1/36*i**4 + 1/27*i**3 + 0 + 0*i + 2*i**2. Factor p(m).
-2*(m - 1)**3/9
Factor 2 - 4*f**4 - 181*f**5 - 2 - 8*f**3 + 193*f**5.
4*f**3*(f - 1)*(3*f + 2)
Let z(d) be the first derivative of 4 + d - 1/2*d**2 - 1/3*d**3 + 1/4*d**4. Factor z(k).
(k - 1)**2*(k + 1)
Let d(b) = -6*b**2 + 4*b - 4. Let p(k) = -5*k**2 + 5*k - 3. Let l(g) = 3*d(g) - 4*p(g). Factor l(s).
2*s*(s - 4)
Let r(h) be the first derivative of -1/32*h**4 - 3 + 1/16*h**2 + 0*h**3 + 0*h. Factor r(s).
-s*(s - 1)*(s + 1)/8
Let d(x) = x**2 - 2*x - 3. Let b be d(-2). Suppose -2*a - 18 = -3*h + 2*a, 3*h = -2*a. Let -5 - t**h - t**5 - 2*t**3 + 3*t**3 + t**4 + b = 0. Calculate t.
-1, 0, 1
Let g(k) = -k**3 - 3*k**2 + 4. Let h be g(-3). Suppose 0 = -5*n - h + 19. Solve 1/2 + 7/4*o**5 + 10*o**2 + 15/2*o**4 + 25/2*o**n + 15/4*o = 0.
-1, -2/7
Let i be 6/(-72) + (-9)/(-12). Factor 1/3*c**3 - c + i + 0*c**2.
(c - 1)**2*(c + 2)/3
Suppose -14*p = -15*p + 4. Suppose 3/5*o**p + 1/5*o**2 - o**3 + 0 + 1/5*o = 0. Calculate o.
-1/3, 0, 1
Let h be (-34)/51 - (-220)/174. Let a = h + 2/29. Suppose 0 - 1/3*o**2 + 1/3*o**4 + a*o - 2/3*o**3 = 0. Calculate o.
-1, 0, 1, 2
Let a(g) be the third derivative of -g**6/60 + g**5/5 - 18*g**2. Factor a(i).
-2*i**2*(i - 6)
Let b(j) = j - 10. Let w be b(11). Let i be 6*(4/27)/w. Factor -i*k - 8/9 - 2/9*k**2.
-2*(k + 2)**2/9
Let j(k) = k**5 + k**4 + k**3 - k. Let z(h) = 25*h**5 - 11*h**4 - 23*h**3 + 15*h**2 + 2*h. Let x = 2 + 2. Let c(w) = x*j(w) - z(w). Suppose c(i) = 0. What is i?
-1, -2/7, 0, 1
Let t(w) be the third derivative of -w**8/112 + 2*w**7/35 - w**6/10 + 24*w**2. Find o such that t(o) = 0.
0, 2
Suppose -5*q - 5*f + 3*f + 13 = 0, 3*f - 11 = q. Suppose -5*l = -2*h - l + 22, -h - l - q = 0. Solve 2*s + 6*s**h - 5*s**3 - 3*s**3 = 0 for s.
-1, 0, 1
Let l(y) = -2*y**2 + 14*y - 7. Let u be l(6). Let j(c) be the third derivative of 0*c**3 - 1/120*c**6 + c**2 + 0*c**4 + 0*c + 1/60*c**u + 0. Factor j(w).
-w**2*(w - 1)
Let f(a) = -a**2 + 6*a. Let r(q) = q. Let j(k) = -k**2 + 8*k + 4. Let c be j(9). Let m(v) = c*r(v) + f(v). Let m(g) = 0. What is g?
0, 1
Let s(y) be the first derivative of 0*y + 0*y**3 + 0*y**2 + 1/10*y**5 + 1/24*y**6 + 1/16*y**4 - 1. Let s(f) = 0. Calculate f.
-1, 0
Let p(z) = -4*z**3 - 41*z**2 + 15*z + 19. Let x(k) = -k**3 - 8*k**2 + 3*k + 4. Let j(i) = -2*p(i) + 11*x(i). Factor j(s).
-3*(s - 1)*(s + 1)*(s + 2)
Let x = 117 - 117. Factor 0 + x*o + 2/5*o**2 + 2/5*o**3 - 4/5*o**4.
-2*o**2*(o - 1)*(2*o + 1)/5
Suppose -5*m + 4*k + 30 = 0, 0 = -3*m - 4*k + k - 9. Let b = 144 + -1294/9. Factor -4/9*i + 0*i**m + 2/9*i**4 + 4/9*i**3 - b.
2*(i - 1)*(i + 1)**3/9
Factor 2/13*o**3 - 2/13*o - 6/13*o**2 + 6/13.
2*(o - 3)*(o - 1)*(o + 1)/13
Let h(u) be the third derivative of u**6/160 - u**5/40 - u**4/32 + u**3/4 - 6*u**2. Solve h(t) = 0.
-1, 1, 2
Let y(q) be the first derivative of 4 + 2/15*q**3 + 0*q - 1/5*q**2. Factor y(x).
2*x*(x - 1)/5
Suppose -7*t = -2*t - 15. Let p be (8/(-36))/(t/(-27)). Factor 2/7*z**p + 2/7 + 4/7*z.
2*(z + 1)**2/7
Let c = -17 - -20. Let 4*j**5 - j**5 - 2*j**5 + c*j**5 = 0. Calculate j.
0
Let d(t) be the third derivative of -t**6/540 - t**5/30 - t**4/4 - t**3 + t**2. Let d(z) = 0. Calculate z.
-3
Let t(j) be the first derivative of 3*j**6/8 - 3*j**5/4 + 3*j**4/8 - 3. Factor t(c).
3*c**3*(c - 1)*(3*c - 2)/4
Suppose 0 = u - 3*u + 8. Let s(w) be the third derivative of 0*w - 1/120*w**6 + 0 + 1/24*w**u - w**2 + 0*w**3 + 0*w**5. Determine a, given that s(a) = 0.
-1, 0, 1
Let d(p) be the first derivative of -p**5/180 - p**4/18 - 2*p**3/9 - 3*p**2/2 + 1. Let u(q) be the second derivative of d(q). Find v, given that u(v) = 0.
-2
Let h(w) be the first derivative of -w**6/9 - 16*w**5/5 - 191*w**4/6 - 976*w**3/9 + 64*w**2 + 1024*w/3 + 47. Let h(q) = 0. What is q?
-8, -1, 1
Factor 0 - 2/3*k + k**2 + 0*k**3 - 1/3*k**4.
-k*(k - 1)**2*(k + 2)/3
Let h(y) be the second derivative of -y**5/120 + y**4/24 - y**3/18 - 7*y. Factor h(m).
-m*(m - 2)*(m - 1)/6
Let w = -290 + 292. Let -1/4 + w*i**2 - 1/2*i = 0. What is i?
-1/4, 1/2
Let 0*u**2 + 0*u**4 + 0*u + 2/3*u**5 - 2/3*u**3 + 0 = 0. Calculate u.
-1, 0, 1
Factor 0 - 1/6*w**2 - 1/6*w.
-w*(w + 1)/6
Suppose 5*n = -5*h + 3*n + 16, 4*n - 8 = -4*h. Let b = 7 + -3. Suppose 2*v**h + 0*v**2 - v**b - v**2 = 0. What is v?
-1, 0, 1
Let f(s) be the third derivative of -1/180*s**5 + 0 + 0*s + 0*s**4 - 1/6*s**3 + 2*s**2 + 1/540*s**6. Let y(h) be the first derivative of f(h). Factor y(b).
2*b*(b - 1)/3
Factor 1/2*c - 1/2*c**4 + 3/2*c**3 - 3/2*c**2 + 0.
-c*(c - 1)**3/2
Suppose -u - l - 2*l = 4, 3*u = 5*l + 16. Let c be 2 - (0 + u + -3). Let -3*i**3 - i**5 + 2*i**2 - 2*i**4 + i + c*i**3 = 0. Calculate i.
-1, 0, 1
Let d(s) be the first derivative of 2*s**3 - 3/4*s**4 + 0*s - 2 + 0*s**2. Factor d(q).
-3*q**2*(q - 2)
Suppose j - 1 = 3. Suppose -j*s = -p - 20, -5*p + 8*p + 12 = 0. Factor n - 2*n**3 - n - 2*n**5 - 4*n**s.
-2*n**3*(n + 1)**2
Factor -3/2*c**4 + 3/2 - 3*c + 3*c**3 + 0*c**2.
-3*(c - 1)**3*(c + 1)/2
Let k(m) = m**3 - 3*m**2 + m + 1. Suppose -2*z + 3*z = -1. Let g(l) = 2*l**2 + 3*l - 2*l - 3*l**2. Let u(b) = z*k(b) + 2*g(b). What is y in u(y) = 0?
-1, 1
Let c(n) = 20*n**5 - 20*n**4 - 26*n**3 + 31*n**2 - 5*n + 11. Let z(y) = -4*y**5 + 4*y**4 + 5*y**3 - 6*y**2 + y - 2. Let o(p) = -2*c(p) - 11*z(p). Factor o(l).
l*(l - 1)*(l + 1)*(2*l - 1)**2
Let i(r) = r**2 - 16*r + 32. Let s be i(15). Suppose -14*h + s*h = 6. Let 4/5*p**h + 0*p**3 - 2/5 + 0*p - 2/5*p**4 = 0. What is p?
-1, 1
Let l(x) = -x**3 + 4*x**2 + 3. Suppose 3*a = 2 + 10. Let r be l(a). Find d such that -1/5*d**4 - 2/5*d**r + 0*d**2 + 1/5 + 2/5*d = 0.
-1, 1
Let z(m) be the third derivative of -m**7/945 - m**6/180 - m**5/90 - m**4/108 + 39*m**2. Factor z(w).
-2*w*(w + 1)**3/9
Let w(b) be the second derivative of b**6/600 + b**5/300 - b**4/120 + b**3 + 6*b. Let g(v) be the second derivative of w(v). Factor g(d).
(d + 1)*(3*d - 1)/5
Let z(x) = 3*x**4 - 8*x**3 - 8*x**2 + 3*x. Let s(p) = 3*p**4 - 9*p**3 - 9*p**2 + 3*p. Let h(a) = 5*s(a) - 6*z(a). Factor h(t).
-3*t*(t - 1)**2*(t + 1)
Let k = -3 - -6. Suppose 0 = k*i - i. Suppose 2/5*d**3 + 0*d**4 + i*d + 0*d**2 + 0 - 2/5*d**5 = 0. What is d?
-1, 0, 1
Let q = 0 + -3. Let c(t) = -37*t**4 + 11*t**3 + 30*t**2 - 11*t + 2. Let l(v) = -19*v**4 + 5*v**3 + 15*v**2 - 5*v + 1. Let z(b) = q*c(b) + 5*l(b). Factor z(u).
(u - 1)*(u + 1)*(4*u - 1)**2
Let b(y) = 47*y**3 - 228*y**2 + 271*y - 55. Let h(i) = 16*i**3 - 76*i**2 + 90*i - 18. Let r(n) = 2*b(n) - 7*h(n). Factor r(x).
-2*(x - 2)**2*(9*x - 2)
Let u(m) be the second derivative of -1/120*m**5 + 0 - 1/3*m**3 - 1/12*m**4 + 1/2*m**2 - m. Let g(a) be the first derivative of u(a). Solve g(c) = 0 for c.
-2
Let w(q) = -q + 1. Let m be w(1). Let p(c) = -c**2 - 5*c - 3. Let g be p(-3). Factor m*i**2 + 0*i + 0 - 1/3*i**g.
-i**3/3
Let y = 16 - 12. Suppose -3 = -4*r + r + 3*x, y*r + 2*x + 2 = 0. Solve -1/4*l**2 + 0*l + r + 1/4*l**3 = 0 for l.
0, 1
Let n = -4 + 2. Let b(z) = -4*z - 3. Let c be b(n). Factor -2/7*a + 68/7*a**3 + 32/7*a**2 + 52/7*a**4 - 4/7 + 2*a**c.
2*(a + 1)**4*(7*a - 2)/7
Let b(w) be the third derivative of -w**7/1680 - w**6/960 + w**5/240 + 13*w**2. Suppose b(h) = 0. Calculate h.
-2, 0, 1
Let u(p) = 18*p**2 + 17*p + 2. Let z(g) = 9*g**2 + 8*g + 1. Suppose -10 = 4*x + 10. Let q(n) = x*z(n) + 2*u(n). Factor q(j).
-(3*j + 1)**2
Let d be (-1)/(5 + -3*66/36). Factor 2*l**3 + 0*l - 8/5*l**4 + 2/5*l**5 + 0 - 4/5*l**d.
2*l**2*(l - 2)*(l - 1)**2/5
Let y(k) be the first derivative of 7*k**6/24 - k**5/4 - k**4 - k**3/3 + 2. Determine s so that y(s) = 0.
-1, -2/7, 0, 2
Let b(y) = -6*y**2 + 10*y + 3. Let r(k) = -k. Let l be r(7). Let f(d) = 2*d**2 - 3