3 + 3*s**2 - 2*s**2 + 2*s**3.
-s**2*(s - 1)
Suppose 3*t = 4*b + 12 + 6, 0 = 5*t - 5*b - 30. Let q be (4/t)/(4/3). Factor w**2 - q*w**5 + 1/2 - 3/2*w**4 + 3/2*w - w**3.
-(w - 1)*(w + 1)**4/2
Let x(r) be the third derivative of r**8/3192 - r**7/1995 + 4*r**2. Factor x(i).
2*i**4*(i - 1)/19
Let t(y) be the third derivative of -1/90*y**5 + 0 - 2/9*y**3 + 1/12*y**4 + 8*y**2 + 0*y. Factor t(h).
-2*(h - 2)*(h - 1)/3
Let k(x) = 3*x**2 + 5*x + 2. Let h(m) = 4*m**2 + 6*m + 1. Let d(l) = -4*h(l) + 5*k(l). Factor d(y).
-(y - 3)*(y + 2)
Let p = 112/13 + -20147/2340. Let j(h) be the third derivative of 0*h + 1/90*h**5 - h**2 + p*h**6 + 0*h**3 + 0*h**4 + 0. Factor j(r).
2*r**2*(r + 1)/3
Let i = 11 - 6. Factor -6*j**4 - 3*j**i + 2*j**4 - 5*j**4 - 6*j**3.
-3*j**3*(j + 1)*(j + 2)
Let p(m) be the first derivative of 4 + 1/20*m**4 + 0*m**2 - 2/15*m**3 + 3/25*m**5 + 0*m. Let p(c) = 0. What is c?
-1, 0, 2/3
Factor 0 - 2*g**2 - 1/3*g.
-g*(6*g + 1)/3
Suppose -4*r + 4*m = -4, 2*r - 8 + 1 = -3*m. Let b be 8/30*5/2. Factor -b*a + 0 + r*a**2.
2*a*(3*a - 1)/3
Let t(y) be the second derivative of -y**5/45 + y**4/54 + 4*y**3/27 - y**2/3 - 18*y. Find j, given that t(j) = 0.
-3/2, 1
Let z(d) be the first derivative of -d**4/18 - d**3/3 - 2*d**2/3 + 2*d + 1. Let g(r) be the first derivative of z(r). Determine j, given that g(j) = 0.
-2, -1
Let f = -7 + 23. Let w = 23 - f. Suppose 3*m**5 + 3*m**5 - w*m**5 + m**4 = 0. What is m?
0, 1
Suppose -3*v + 6 + 9 = 0. Suppose 0 = p + 3*x + 1, 2*p = 5*p - v*x - 11. Suppose -2/3*o**p - 3*o**3 + 0 + 0*o = 0. Calculate o.
-2/9, 0
Suppose 0 = -c + i, i = -3*c + 5 + 3. Suppose 5/2*z**5 + 0*z**c + 0*z - 7/2*z**4 + z**3 + 0 = 0. Calculate z.
0, 2/5, 1
Let o(n) be the second derivative of -3*n + 1/12*n**4 + 0 - 2/3*n**3 + 1/30*n**5 - n**2. Let q(s) be the first derivative of o(s). Solve q(u) = 0.
-2, 1
Let r(o) be the first derivative of -4*o**5/5 + 3*o**4 - 4*o**3 + 2*o**2 - 6. Factor r(w).
-4*w*(w - 1)**3
Let h(v) = -10*v**5 + 4*v**3 - 16*v**2 - 10*v - 16. Let m(i) = -3*i**5 + i**3 - 5*i**2 - 3*i - 5. Let u(x) = 5*h(x) - 16*m(x). Factor u(d).
-2*d*(d - 1)**2*(d + 1)**2
Let a = 776 - 772. Factor 36*g**3 - 88/5*g**2 + 0 + 16/5*g + 54/5*g**5 - 162/5*g**a.
2*g*(g - 1)*(3*g - 2)**3/5
Let x be (-1)/6*3/(-4). Let z(q) be the first derivative of -1/4*q**2 + 2 + x*q**4 + 0*q + 0*q**3. Suppose z(a) = 0. Calculate a.
-1, 0, 1
Let q(i) be the first derivative of i**5/80 - i**4/24 - i + 2. Let x(g) be the first derivative of q(g). Factor x(d).
d**2*(d - 2)/4
Let h(k) be the second derivative of 3*k + 1/39*k**3 - 1/130*k**5 + 0 - 1/39*k**4 + 2/13*k**2. What is i in h(i) = 0?
-2, -1, 1
Let y(z) be the second derivative of z**7/21 - z**6/15 - z**5/10 + z**4/6 + 10*z. Factor y(p).
2*p**2*(p - 1)**2*(p + 1)
Let n(x) = -x**2 + 1. Let s(z) be the first derivative of -5*z**3/3 + 5*z - 7. Let i(g) = -2*n(g) + s(g). Factor i(d).
-3*(d - 1)*(d + 1)
Let x = 731/5 - 145. Solve -3*p + x - 9/5*p**2 = 0 for p.
-2, 1/3
Let v(w) be the third derivative of w**6/480 + w**5/240 + 37*w**2. Find h, given that v(h) = 0.
-1, 0
Let x(a) = -5*a**3 + 15*a**2 - 20*a + 5. Let w(q) = -q. Let y(c) = -5*w(c) + x(c). Find k such that y(k) = 0.
1
Factor 0 + 0*l**2 + 5/4*l**4 + 1/4*l**3 + l**5 + 0*l.
l**3*(l + 1)*(4*l + 1)/4
Suppose -6*t = -15*t + 6*t. Suppose -x**3 + 0*x + t - 2/5*x**2 = 0. Calculate x.
-2/5, 0
Let y(t) = -1 - t - 42*t**2 + 42*t**2 + t**3. Let s(q) = 3*q**3 - 2*q**2 - q - 2. Let z(g) = s(g) - 2*y(g). Suppose z(c) = 0. Calculate c.
0, 1
Let r(a) be the third derivative of -1/105*a**7 + 0*a + 0 + 1/336*a**8 + 0*a**3 + 3*a**2 + 0*a**6 - 1/24*a**4 + 1/30*a**5. Find z such that r(z) = 0.
-1, 0, 1
Let r(l) be the second derivative of -l**7/14 - l**6/10 + 27*l**5/10 + 13*l**4 + 20*l**3 - 42*l + 1. Factor r(b).
-3*b*(b - 5)*(b + 2)**3
Let n(w) be the first derivative of 3*w**5/25 + 3*w**4/10 - 3*w**2/5 - 3*w/5 - 4. Determine l so that n(l) = 0.
-1, 1
Let s(v) be the third derivative of -v**9/7560 - v**8/3360 - v**4/12 + 9*v**2. Let o(w) be the second derivative of s(w). Factor o(u).
-2*u**3*(u + 1)
Suppose -2 = 9*v - 2. Let p(h) be the third derivative of 0 + v*h**3 + 3*h**2 + 0*h**4 - 1/180*h**5 + 0*h. Suppose p(a) = 0. Calculate a.
0
Let r(g) = -g**3 + g**2 + g + 1. Let k(m) = -2*m**3 + 1. Let o(y) = -2*k(y) + 3*r(y). Solve o(p) = 0.
-1
Suppose 4*i - 5*x = -42, -2*i + x = -2*x + 22. Let w be -2 + 1/i*-18. Solve 0 - w*b**2 - 1/2*b = 0.
-2, 0
Let d(y) be the third derivative of 0*y**3 + 0 + 0*y + 0*y**4 - y**2 - 1/150*y**5 - 1/300*y**6. Find g such that d(g) = 0.
-1, 0
Let y(c) be the third derivative of c**5/510 - 2*c**4/51 + 16*c**3/51 + 16*c**2. Factor y(r).
2*(r - 4)**2/17
Let b(q) be the second derivative of 2*q**6/3 + 12*q**5/5 + 3*q**4 + 4*q**3/3 - 9*q. Factor b(a).
4*a*(a + 1)**2*(5*a + 2)
Suppose 2*i - 4 = i. Factor 7*h**4 - 6*h**2 + 10*h - 14*h**3 + 3*h**4 + i*h - 4.
2*(h - 1)**2*(h + 1)*(5*h - 2)
Suppose 0 = -4*x + 14 + 2. Let s(f) = -f**2 + 6*f - 5. Let p be s(x). Factor -3*y**p + 3*y**3 - 2*y**3 + 2*y.
-2*y*(y - 1)*(y + 1)
Let m(t) = 2*t + 1. Let j be m(-3). Let r be (-2*(0 - -1))/j. Suppose r - 4/5*n + 2/5*n**2 = 0. Calculate n.
1
Suppose 7*o + 128 = 44. Let i = -10 - o. Suppose 1/5*p**i + 1/5*p - 2/5 = 0. Calculate p.
-2, 1
Suppose 2*d = -4*b + 16, d - 3*d - 3*b + 13 = 0. Factor s**d + 2*s**4 + 3*s**3 + s**3 + s**2.
2*s**2*(s + 1)**2
Let i(r) = r**3 - 4*r**2 - 6*r + 5. Let f be i(5). Let m = 3 + f. Factor 3*v**2 + 0 - 4*v**2 - 1 - v + m.
-(v - 1)*(v + 2)
Let z(r) = -2*r + 2. Let s be z(-2). Factor 6*m**2 - 11*m**2 + m**3 + s*m**2.
m**2*(m + 1)
Let d be ((-2)/6)/(1/(-9)). Suppose 3*b - 5 = -d*w + 4*w, 3*w - 11 = -4*b. Solve -4*p**2 + 0*p**b + p + 2*p**3 + p = 0 for p.
0, 1
Suppose 0 = 7*n - 4*n. Let k(b) be the first derivative of 4/35*b**5 - 2 - 1/21*b**6 + 0*b**3 + n*b - 1/14*b**4 + 0*b**2. Factor k(q).
-2*q**3*(q - 1)**2/7
Let h(k) be the third derivative of k**8/252 + 4*k**7/315 - 2*k**5/45 - k**4/18 - 12*k**2. Determine o so that h(o) = 0.
-1, 0, 1
Let u = 8/9 + -7/9. Let s(a) be the second derivative of 0*a**3 + 1/135*a**6 + 0 - 1/27*a**4 + u*a**2 + 0*a**5 - 2*a. Factor s(j).
2*(j - 1)**2*(j + 1)**2/9
Let x = -4/145 - -318/1015. Let y be 2/(-2) - -1 - 0. Factor 2/7*a**2 - x + y*a.
2*(a - 1)*(a + 1)/7
Solve 1/5*z**5 + 4/5 + 1/5*z**2 + 8/5*z - 1/5*z**4 - z**3 = 0.
-1, 2
Let w(r) be the third derivative of 5*r**2 + 0*r + 0*r**3 + 0 + 0*r**4 + 1/300*r**5. Solve w(o) = 0 for o.
0
Let n = 721 + -3602/5. Factor 1/5*f**3 + n*f**2 - 4/5 + 0*f.
(f - 1)*(f + 2)**2/5
Factor 0*o + 2/11*o**3 + 0 + 4/11*o**2 - 2/11*o**4.
-2*o**2*(o - 2)*(o + 1)/11
Let v = -15 + 19. Factor 0 + 6/7*y**v + 0*y + 2/7*y**3 + 0*y**2.
2*y**3*(3*y + 1)/7
Let u(y) be the third derivative of -y**7/1050 + y**5/50 + y**4/15 + y**3/10 - 27*y**2. What is w in u(w) = 0?
-1, 3
Suppose w = -2, m + 2*m + 5*w - 2 = 0. Let h(x) be the second derivative of x + 2*x**2 + 3*x**3 + 0 + 7/6*x**m. Factor h(p).
2*(p + 1)*(7*p + 2)
Let l(d) be the third derivative of d**8/1680 - d**7/525 - 7*d**6/600 - d**5/75 - 19*d**2. Solve l(j) = 0.
-1, 0, 4
Let b be -4*(7/(-4) + 1). Determine r so that 3*r**3 - 5*r**3 + 10*r**4 + 2*r**b - 4*r**2 - 6*r**3 = 0.
-2/5, 0, 1
Let o = -5 + 4. Let w be 0 + o - (-1 - 6). Factor -8*y**2 - 3*y + w*y - 4*y + 3*y.
-2*y*(4*y - 1)
Factor 4/7 - 4/7*u**2 + 0*u.
-4*(u - 1)*(u + 1)/7
Let b(o) be the second derivative of o**6/60 - o**4/12 - o**2/2 - o. Let q(m) be the first derivative of b(m). What is l in q(l) = 0?
-1, 0, 1
Let i(l) be the third derivative of -l**8/1176 + l**7/245 - l**6/210 - l**5/105 + l**4/28 - l**3/21 + 7*l**2. Let i(v) = 0. Calculate v.
-1, 1
Let t(p) = 2*p + 6. Let f be t(-7). Let y be (-2)/f - 17/(-28). Factor 4/7*s**5 + y*s**3 - 10/7*s**4 + 0 - 2/7*s + 2/7*s**2.
2*s*(s - 1)**3*(2*s + 1)/7
Let m(v) = -3*v**2 + 6*v - 4. Let d(l) = 5*l**2 - 11*l + 7. Let b(g) = 4*d(g) + 7*m(g). Find c, given that b(c) = 0.
-2, 0
Let m(w) be the third derivative of w**5/12 - 5*w**4/12 + 5*w**3/6 - 18*w**2. What is r in m(r) = 0?
1
Let y(w) be the first derivative of -10 + 4/3*w + 0*w**2 - 1/9*w**3. Factor y(b).
-(b - 2)*(b + 2)/3
Factor z**4 - 9*z**2 + 0*z**2 + 5*z**2.
z**2*(z - 2)*(z + 2)
Let m(q) be the first derivative of q**8/560 - q**7/280 - q**6/120 + q**5/40 + q**3 + 4. Let r(b) be the t