 + 1)**2*(s + 5)/4
Factor 2/3*y + 10/9*y**2 - 4/9.
2*(y + 1)*(5*y - 2)/9
Let d(k) be the first derivative of -k**4/30 - k**3/15 - 4*k + 2. Let z(p) be the first derivative of d(p). Factor z(b).
-2*b*(b + 1)/5
Let n(g) = g**4 + g**3 - g**2. Let q(m) = -7*m**4 + 14*m**3 - 35*m**2 + 36*m - 12. Let f(z) = 4*n(z) + q(z). Solve f(b) = 0 for b.
1, 2
Let t(d) = -4*d + 0*d**2 + 2*d**2 + 3*d + 2*d. Let j be t(-1). Factor -i**2 + 1 - 2 + j + i.
-i*(i - 1)
Factor -2/7*h**2 - 4/7*h**3 - 4/7 + 10/7*h.
-2*(h - 1)*(h + 2)*(2*h - 1)/7
Let x(h) be the third derivative of h**7/280 + h**6/32 + 9*h**5/80 + 7*h**4/32 + h**3/4 - 7*h**2. Factor x(i).
3*(i + 1)**3*(i + 2)/4
Suppose -3*c + 2*b = 6*b + 14, 3*b + 5 = -5*c. Suppose -g**2 - g + 0*g**c + g + g**3 = 0. What is g?
0, 1
Let d be 2 - (-4 + (-116)/(-80)*4). Factor -2/5*f - d - 1/5*f**2.
-(f + 1)**2/5
Let f be (-2)/(-8) - (-14)/8. Let j(u) = -u**3 + 5*u**2 - 4*u + 3. Let w be j(4). Factor -2*h**f + 0*h**4 + 2*h**w + 2*h**3 - 2*h**4.
-2*h**2*(h - 1)**2
Let q be (40/25)/((-28)/(-10)). Factor 0 - 2/7*a**5 + 0*a**4 + 0*a**2 + q*a**3 - 2/7*a.
-2*a*(a - 1)**2*(a + 1)**2/7
Let r = -73 + 76. Factor -4*q - 2*q**r + 4/3 + 1/3*q**4 + 13/3*q**2.
(q - 2)**2*(q - 1)**2/3
Suppose -2*z + 2*r = -5*z + 11, 2*z = -r + 6. Suppose -3 = -a - z. Factor a + 2*n**4 - 4*n**2 - 4*n + 4*n.
2*(n - 1)**2*(n + 1)**2
Let y be ((-24)/(-20))/((-2)/(-10)). Let u(w) = -w + 8. Let a be u(y). Let 1/2*d**2 + a + 2*d = 0. Calculate d.
-2
Let t(m) be the second derivative of -m**7/420 + 5*m**2/2 - 8*m. Let h(s) be the first derivative of t(s). Factor h(a).
-a**4/2
Let b be -1 + 0 - -2 - 2. Let a(m) = m**2 - m. Let d(p) = 4*p**2 + p + 4. Let n(w) = b*d(w) + 3*a(w). Factor n(t).
-(t + 2)**2
Let u(m) be the second derivative of -9*m**5/10 + 7*m**4/6 + 2*m**3/3 - 9*m. Find y, given that u(y) = 0.
-2/9, 0, 1
Let r(w) be the second derivative of -5*w**7/336 + 3*w**6/40 - 17*w**5/160 + w**3/12 + 10*w. Solve r(t) = 0.
-2/5, 0, 1, 2
Let n(v) be the third derivative of -v**6/300 - v**5/30 - 2*v**4/15 - 4*v**3/15 - 11*v**2. Factor n(p).
-2*(p + 1)*(p + 2)**2/5
Factor 0 + 2/5*r**2 + 0*r.
2*r**2/5
Factor -15/2*t + 75/4 + 3/4*t**2.
3*(t - 5)**2/4
Let z be (4/6)/(9/((-18)/(-4))). Factor -z*j**2 + 1/3*j + 0.
-j*(j - 1)/3
Let m(s) be the third derivative of 1/40*s**6 + 0*s + 0*s**4 - 2*s**2 + 1/20*s**5 + 0*s**3 + 0. Factor m(u).
3*u**2*(u + 1)
Let k(m) = -m**2 + 10*m + 14. Let o be k(11). Let f(a) = -5*a**2 - 2*a - 5. Let p(i) = -4*i**2 - 2*i - 4. Let j(g) = o*f(g) - 4*p(g). Factor j(y).
(y + 1)**2
Let b(r) = 2*r**2 + 7*r + 5. Let s be b(-4). Let m = 12 - s. Determine k so that 2/7*k + 22/7*k**2 - 4/7 - 20/7*k**m = 0.
-2/5, 1/2, 1
Find w, given that -56/3*w + 54/5*w**3 + 32/15 + 192/5*w**2 = 0.
-4, 2/9
Let l(a) be the second derivative of 0 + 0*a**2 + 2*a - 1/90*a**5 + 1/27*a**3 + 0*a**4. Let l(p) = 0. What is p?
-1, 0, 1
Let f(o) be the third derivative of o**8/840 + o**7/525 - o**6/150 - 6*o**2. Factor f(m).
2*m**3*(m - 1)*(m + 2)/5
Let w(t) = 36*t**4 - 116*t**3 + 156*t**2 - 60*t - 16. Let a(x) = 7*x**4 - 23*x**3 + 31*x**2 - 12*x - 3. Let p(n) = -16*a(n) + 3*w(n). Factor p(h).
-4*h*(h - 3)*(h - 1)**2
Suppose -3*p - 112 = p. Let o = p + 141/5. Factor 0*s - o*s**2 - 1/5*s**3 + 0.
-s**2*(s + 1)/5
Factor 22*o - 10*o**2 + 15*o**3 - 6 - 26*o**2 + 5*o.
3*(o - 1)**2*(5*o - 2)
Suppose -4*h = -m - 0*h - 10, m + 13 = 5*h. Suppose 0 = 2*f - m*u, -2*u + 15 = 5*f - 4*u. Factor 0*p**4 - p**3 + p**4 - p**f - 3*p**4.
-p**3*(p + 1)**2
Let a(j) = -4*j**2 - 9*j - 2. Let m(v) = -v**2 - v - 1. Let x(l) = a(l) - 5*m(l). Factor x(t).
(t - 3)*(t - 1)
Let d(s) be the first derivative of s**6/27 - 4*s**5/15 + s**4/18 + 16*s**3/9 + 16*s**2/9 - 18. Factor d(p).
2*p*(p - 4)**2*(p + 1)**2/9
Let w(h) be the second derivative of -h**5/150 + h**4/30 + h**2 + 4*h. Let n(t) be the first derivative of w(t). What is q in n(q) = 0?
0, 2
What is v in -4/3 - 4*v + 7/3*v**2 = 0?
-2/7, 2
Let j(o) be the first derivative of 7*o**6/6 - 12*o**5/5 + 3*o**4/4 + 2*o**3/3 - 42. Factor j(k).
k**2*(k - 1)**2*(7*k + 2)
Factor -15*f + 12*f**2 - 7*f - 20 - 2*f**3 - 15*f + 31*f.
-2*(f - 5)*(f - 2)*(f + 1)
Factor 3/2 - 3/2*k**2 + 4*k.
-(k - 3)*(3*k + 1)/2
Suppose 2*m - 3*z + 402 = -762, 3*m - 5*z + 1748 = 0. Let x = 2315/4 + m. Factor 21/4*r**2 + 1/2 + 17/4*r**3 + 5/4*r**4 + x*r.
(r + 1)**3*(5*r + 2)/4
Let q(i) be the third derivative of i**5/180 + i**4/36 + 8*i**2. Factor q(c).
c*(c + 2)/3
Let s = -19 + 27. Let g = s - 5. Suppose -g*v**3 + 2*v**4 + 0*v + 2*v - 2*v**2 + v**3 = 0. Calculate v.
-1, 0, 1
Let u(a) be the first derivative of -1/15*a**5 + 1/6*a**4 - 2 + 2/9*a**3 - 1/18*a**6 - 1/3*a - 1/6*a**2. Factor u(l).
-(l - 1)**2*(l + 1)**3/3
Let c(m) be the second derivative of -1/15*m**4 + m + 1/50*m**5 + 0 + 0*m**2 + 1/15*m**3. Factor c(n).
2*n*(n - 1)**2/5
Let o(x) be the third derivative of -1/120*x**5 + 0*x**4 + 2*x**2 - 3/140*x**7 - 1/40*x**6 + 0*x + 0*x**3 + 0. Suppose o(k) = 0. Calculate k.
-1/3, 0
Let b(d) be the second derivative of -1/105*d**7 + 0*d**2 - 2/75*d**6 + 3/50*d**5 - 4/15*d**3 + 2/15*d**4 - 6*d + 0. Factor b(z).
-2*z*(z - 1)**2*(z + 2)**2/5
Let u(o) be the first derivative of 0*o**3 + 0*o + 1/2*o**4 + 2/5*o**5 + 0*o**2 - 2. Solve u(r) = 0.
-1, 0
Let d = 677 - 1351/2. Solve -1/2*f + 0 - d*f**2 - 1/2*f**4 - 3/2*f**3 = 0 for f.
-1, 0
Let t be ((-4)/(-12))/((-1)/(-2)). Let p = t - 5/12. Factor 0*b - 1/2*b**3 + 0 + p*b**4 + 1/4*b**2.
b**2*(b - 1)**2/4
Let q(a) = a + 2. Let d be q(0). Suppose -31 + 16 + 3*l**d - 9*l + 17 + 4*l**3 = 0. Calculate l.
-2, 1/4, 1
Find w such that 23*w**3 + 7*w**2 + 18*w - 17*w**3 - 17*w**3 + 2 - 9*w**4 - 7*w = 0.
-1, -2/9, 1
Let n(h) = 4*h**2 - 4. Let b(k) = 4*k**2 - k - 3. Let l(f) = -4*b(f) + 5*n(f). Factor l(q).
4*(q - 1)*(q + 2)
Let b be 12/(1 + -3)*3. Let h be ((-32)/24)/(8/b). Factor 0*f + 2/3*f**h - 16/3*f**4 + 10/3*f**5 + 4/3*f**2 + 0.
2*f**2*(f - 1)**2*(5*f + 2)/3
Suppose 0 = 5*i - 15, -4*i + 12 = -5*l - 10. Let k be (-18)/(-4) + l/(-4). Find s such that -10*s**3 - 7*s - 24*s**4 - 8*s**k - 4*s**2 + 4 + 25*s + 24*s**2 = 0.
-2, -1, -1/2, 1
Let b = -25/9 + 28/9. Factor -1/3*d**4 + b*d**2 + 0*d + 0 + 0*d**3.
-d**2*(d - 1)*(d + 1)/3
Let c(i) be the third derivative of -i**7/70 + 3*i**5/20 - i**4/4 + 14*i**2. Let c(r) = 0. Calculate r.
-2, 0, 1
Suppose -u + 9 = -5*q, -u - 2*u + 10 = 2*q. Let t(f) be the second derivative of 0*f**2 + 0 + f + 1/20*f**5 + 1/6*f**3 + 1/6*f**u. Factor t(n).
n*(n + 1)**2
Let d(p) = -4*p - 6. Let h be d(-2). Factor -88*z + 69 + 56*z - 5 + 4*z**h.
4*(z - 4)**2
Let m(a) be the third derivative of -5*a**8/84 - 11*a**7/42 - 5*a**6/24 + a**5/6 + 2*a**2 + 5. Solve m(s) = 0 for s.
-2, -1, 0, 1/4
Let f(a) = -a**2 - 9*a - 2. Let m be f(-9). Let x be 2 + (3 - 1) + m. Factor -2*t**x + 0*t + t**3 + 0*t**4 + 2*t**4 - 2*t + t**3.
2*t*(t - 1)*(t + 1)**2
Suppose -2*u = -5*w - 474, -w + 43 - 142 = u. Let c be ((-18)/(-28))/(w/(-112)). Factor -c - 3/4*r**2 + 3/2*r.
-3*(r - 1)**2/4
Let s be -5 + 3 - 1/(-1). Let k be s*(-3 - -1) + 0. Factor -50*y + 50*y + y**k.
y**2
Let i(h) = 2*h**3 - 2*h**2 + 1. Let a be i(1). Suppose 2*t = -2*p + 13 - a, -6 = -5*p + t. Factor -4*u**p - 6*u**3 - u**2 + u**2.
-2*u**2*(3*u + 2)
Let m(i) = -8*i**3 + 3*i**2 + 5*i. Suppose z + 30 = -4*z. Let b(n) = 15*n**3 - 6*n**2 - 9*n. Let a(q) = z*b(q) - 11*m(q). Factor a(f).
-f*(f - 1)*(2*f - 1)
Suppose -2*m - 2*b + 10 = 0, -2*m + 2*b + 2 = -0*m. Solve 66*r**2 - 3*r + 3*r**m - 66*r**2 = 0 for r.
-1, 0, 1
Let p(k) be the second derivative of k**8/840 + k**7/210 - k**5/30 - k**4/12 + 2*k**3/3 + 2*k. Let l(w) be the second derivative of p(w). Factor l(a).
2*(a - 1)*(a + 1)**3
Let i(z) = -6*z**3 - 6*z**2 - 3. Let q(s) = -s**3 - s**2 - 1. Let o(l) = -l**2 + 8*l - 6. Let w be o(7). Let j(p) = w*i(p) - 3*q(p). Factor j(u).
-3*u**2*(u + 1)
Suppose -5*m + r = 2*r - 55, -2*r + 22 = 2*m. Suppose 0 = m*o - 7*o. Let 0*t + o - 2/11*t**2 + 8/11*t**3 = 0. Calculate t.
0, 1/4
Solve 93 - 20*j**3 + 15*j**3 - 718 - 375*j - 75*j**2 = 0.
-5
Let b(s) be the first derivative of 2/15*s**3 + 1/10*s**2 + 1 - 1/5*s. Solve b(n) = 0 for n.
-1, 1/2
Let j(w) be the third derivative of -w**8/672 + w**7/560 + w**6/192 - w**5/160 - w**4/192 - 2*w**2. Suppose j(k) = 0. Calculate k.
-1, -1/4, 0, 1
Let p(u) be the second derivative o