/2
Let l(s) be the first derivative of -4*s**5/5 - 3*s**4/4 + 5*s**3/3 + 3*s**2/2 - s + 5. Factor l(b).
-(b - 1)*(b + 1)**2*(4*b - 1)
Let n be (2 + -3)/48 - 1/(-3). Let q(u) be the first derivative of u**3 - n*u**4 - 1 - 9/8*u**2 + 1/2*u. Factor q(h).
-(h - 1)**2*(5*h - 2)/4
Let q(d) be the first derivative of 3*d**4/4 - 4*d**3 + 15*d**2/2 - 6*d + 1. Factor q(m).
3*(m - 2)*(m - 1)**2
Solve 5/2*v**3 - 15*v**2 - 10 + 45/2*v = 0 for v.
1, 4
Let a(l) = -22*l**3 + 14*l**2 + 10*l. Let u(h) = h**3 - h**2 - h. Let b(p) = a(p) + 2*u(p). Suppose b(g) = 0. What is g?
-2/5, 0, 1
Let z(n) be the second derivative of n**7/98 - 11*n**6/70 + 9*n**5/10 - 27*n**4/14 - 27*n**3/14 + 243*n**2/14 - 10*n. Factor z(b).
3*(b - 3)**4*(b + 1)/7
Let t(u) be the second derivative of -7*u**6/135 + 8*u**5/45 + u**4/18 - 16*u**3/27 + 4*u**2/9 + 35*u. Suppose t(y) = 0. Calculate y.
-1, 2/7, 1, 2
Let c(d) be the first derivative of -d**3/3 + 4*d**2 + 3. Let h be c(8). Find m such that h + 0*m - 1/3*m**2 = 0.
0
Let b be (-1 - 2)*2/(-2). Let c = -5 + 5. Solve 0*q**2 + c*q + 0*q**b - 1/3*q**5 + 0 - 1/3*q**4 = 0 for q.
-1, 0
Let z(r) be the first derivative of r**6/15 + 2*r**5/25 - 10. Factor z(b).
2*b**4*(b + 1)/5
Let w = 20 + -11. Factor -45*u - 78*u**2 - 150*u**3 - 4 + w*u**2 - 90*u**4 - 2 - 21*u**5 - 51*u**2.
-3*(u + 1)**4*(7*u + 2)
Let g(v) = v + 9. Let i be g(-6). Let 0*o**2 + 4*o**3 - o**4 + 0*o**2 - 3*o**i + o**2 - o = 0. Calculate o.
-1, 0, 1
Let o(c) be the first derivative of c**8/112 + c**7/70 - c**2/2 - 2. Let k(x) be the second derivative of o(x). Determine v, given that k(v) = 0.
-1, 0
Let b(s) = s**2 + s - 1. Let j(z) = 8*z**2 - 23*z - 265. Let h(q) = 18*b(q) - 2*j(q). Factor h(u).
2*(u + 16)**2
Let g(n) be the third derivative of -n**6/60 + n**5/20 + n**4/12 + 10*n**2. Factor g(f).
-f*(f - 2)*(2*f + 1)
Let c(d) = 4*d**2 + 2*d - 8. Let b(s) = 5*s**2 + 2*s - 8. Let u(j) = 3*b(j) - 4*c(j). Let u(p) = 0. Calculate p.
-4, 2
Let q = 14 + -5. Let l be 0 + (q/12)/3. Determine b, given that 1/4*b**2 + l + 1/2*b = 0.
-1
Suppose 16*m = 19*m - 6. Determine u so that -2/7*u**4 + 1/7 + 3/7*u**3 - 3/7*u + 1/7*u**m = 0.
-1, 1/2, 1
Let s(p) be the third derivative of -p**8/4200 + p**7/1050 + p**6/900 - p**5/150 - p**3/3 + 3*p**2. Let b(t) be the first derivative of s(t). Factor b(i).
-2*i*(i - 2)*(i - 1)*(i + 1)/5
Suppose 0 = -5*l - 9*l + 56. Let z(x) be the first derivative of 1/4*x**l - 1/3*x**3 - 1/2*x**2 - 1 + x. What is f in z(f) = 0?
-1, 1
Let u = -20 + 23. Let f(y) be the second derivative of 0 + 0*y**2 - 1/20*y**5 + 0*y**u + 2*y + 1/6*y**4. Factor f(k).
-k**2*(k - 2)
Factor -2/7*b**4 - 1/7*b**5 + 0*b + 0 + 0*b**2 - 1/7*b**3.
-b**3*(b + 1)**2/7
Let w(c) = 20*c**5 - 4*c**4 - 12*c**3 + 20*c**2. Let v(r) = -13*r**5 + 3*r**4 + 8*r**3 - 13*r**2. Let l(m) = -8*v(m) - 5*w(m). Factor l(k).
4*k**2*(k - 1)**2*(k + 1)
Let y = 24 + -22. Let t(q) = -q**2 - 4*q + 7. Let s be t(-5). Factor -3*c**3 - 3*c**3 + 5*c**3 + c - y*c**2 + s*c**4.
c*(c - 1)*(c + 1)*(2*c - 1)
Suppose -6*x = -3*x. Suppose 3*b = -x*b + 9. Factor b*u - u**3 - 5*u + 3*u.
-u*(u - 1)*(u + 1)
Let i be (-2*(-1)/(-11))/((-58)/638). Factor 1/6*y**3 + 1/3*y - 1/2*y**i + 0.
y*(y - 2)*(y - 1)/6
Let b(k) be the second derivative of 7*k + 1/4*k**2 + 0 - 1/48*k**4 - 1/24*k**3. Let b(r) = 0. What is r?
-2, 1
Solve h + 14*h**5 + 19*h**2 + 26*h**4 - 13*h**3 - 2*h - 2 - 43*h**4 = 0 for h.
-1, -2/7, 1/2, 1
Let y be ((-2)/6)/((-425)/51 + 7). Find p, given that 0 + 1/4*p**5 - y*p**2 - 1/4*p**3 + 0*p + 1/4*p**4 = 0.
-1, 0, 1
Suppose 16 = 4*k - 4*b, -5*k + 0*b - b + 14 = 0. Factor -4*s**2 + 0*s**5 + 8*s**4 - s**5 - 5*s**5 + s**3 + s**k.
-2*s**2*(s - 1)**2*(3*s + 2)
Let v(a) be the third derivative of -a**5/270 - a**4/108 + 3*a**2. Factor v(n).
-2*n*(n + 1)/9
Find v, given that 1/3*v**3 + 0*v**2 + 0*v - 1/6*v**4 + 0 - 1/6*v**5 = 0.
-2, 0, 1
Suppose -4*y + 14 = 2. Factor 2*w**3 + 4*w + 3*w**3 + 6 - 2*w**y - 13*w.
3*(w - 1)**2*(w + 2)
Suppose 0 = 3*t + 2*t - 20. Suppose 0 = -2*d + t - 0. Let -1/2*o**d - 1/2*o + 0 = 0. Calculate o.
-1, 0
Find l, given that -2/13*l**2 + 6/13*l**3 + 4/13 - 6/13*l - 2/13*l**4 = 0.
-1, 1, 2
Let o be (-4)/8 + (-4)/8*-1. Let p = 0 + 0. Factor -3/4*f**4 + 3/4*f**5 + p - 3/2*f**3 + o*f**2 + 0*f.
3*f**3*(f - 2)*(f + 1)/4
Solve 8/15*k**2 + 0*k - 2/15*k**4 + 0*k**3 + 0 = 0 for k.
-2, 0, 2
Let l = -1 - -4. Factor -b**3 + 0*b**3 + b**3 + 2*b**l - 2*b**4.
-2*b**3*(b - 1)
Let a(p) be the second derivative of -p**4/42 + p**2/7 + 16*p. Find o, given that a(o) = 0.
-1, 1
Let a = 470/3 - 156. Factor 0 - a*j**2 + 0*j.
-2*j**2/3
Let j(z) be the first derivative of -49*z**6/6 - 7*z**5/3 + 4*z**4/3 + 4*z**3/9 + 6. Factor j(o).
-o**2*(3*o - 1)*(7*o + 2)**2/3
Suppose 4*h = -2*n + 1 - 13, -5*h - 12 = n. Let p be (2/h)/(2 - 5). Factor -p*a**2 - 2/3*a + 0.
-a*(a + 2)/3
What is t in 10/13*t**2 - 16/13*t + 8/13 - 2/13*t**3 = 0?
1, 2
Let f(d) be the third derivative of 5*d**8/84 + 2*d**7/15 - 4*d**6/15 - 4*d**5/15 + 2*d**2. Determine k so that f(k) = 0.
-2, -2/5, 0, 1
Let i(y) be the first derivative of -1/360*y**6 - 1/3*y**3 - 1/120*y**5 - 3 + 0*y**2 + 0*y + 0*y**4. Let q(z) be the third derivative of i(z). Factor q(f).
-f*(f + 1)
Let w(g) be the first derivative of -2*g**3/9 + g**2/6 - 6. Factor w(b).
-b*(2*b - 1)/3
Let c(o) be the second derivative of -o**6/150 + 3*o**5/50 - 3*o**4/20 - 2*o**3/15 + 6*o**2/5 + 3*o. Find w, given that c(w) = 0.
-1, 2, 3
Let k(v) be the third derivative of 3*v**6/20 - v**5/8 - 3*v**4/8 - v**3/4 + 5*v**2. Determine o, given that k(o) = 0.
-1/3, -1/4, 1
Let b(l) be the first derivative of 4/3*l**2 + 16/9*l**3 + 4 + 5/6*l**4 + 2/15*l**5 + 0*l. Determine y so that b(y) = 0.
-2, -1, 0
Let u(t) be the third derivative of t**6/180 + t**5/90 - t**4/18 + 4*t**2. Factor u(g).
2*g*(g - 1)*(g + 2)/3
Let q(o) be the second derivative of -3*o**6/10 + 3*o**5/4 - o**4/2 - 2*o. What is l in q(l) = 0?
0, 2/3, 1
Let c(r) = r**3 + r**2 - r - 1. Let u(j) = -15*j**4 - 33*j**3 - 6*j**2 + 6*j - 6. Let v(n) = 6*c(n) - u(n). Find b such that v(b) = 0.
-2, -1, 0, 2/5
Let c = 303 - 300. Factor 0*q**c + 0*q + 3/5*q**5 + 0*q**2 + 2/5*q**4 + 0.
q**4*(3*q + 2)/5
Let s = -4 - -7. Suppose -s*t = -t. Factor 4/3*z + t - 8/3*z**2 - z**3 + 3*z**4.
z*(z + 1)*(3*z - 2)**2/3
Suppose u - 31 = -13. Solve u*h**3 - 30*h**5 + 12*h**4 + 33*h**5 + 5*h**2 + 3*h + 7*h**2 = 0.
-1, 0
Factor 3/2*d**2 - 6 - 3/2*d**3 + 6*d.
-3*(d - 2)*(d - 1)*(d + 2)/2
Let t = 11 - 16. Let g be ((-12)/(-20))/((-1)/t). Suppose 4*a**3 - 2*a - g*a**2 + 8*a**2 - 7*a**3 = 0. What is a?
0, 2/3, 1
Let q = 41 + -143/3. Let k = q - -62/9. Factor k*u**4 + 0*u**3 + 0*u - 4/9*u**2 + 2/9.
2*(u - 1)**2*(u + 1)**2/9
Suppose 0 = -g + 3*g - 4. Suppose 6*f = g*f. Determine w so that -2/3*w**3 - 2/3*w**2 + 0*w + f = 0.
-1, 0
Let f = 5 - 1. Suppose -f = -5*t + 3*t. Factor 3*r - 2*r - 2 + 2 - r**t.
-r*(r - 1)
Let j(t) be the first derivative of -t**5/15 + 5*t**4/6 - 37*t**3/9 + 10*t**2 - 12*t - 1. Factor j(y).
-(y - 3)**2*(y - 2)**2/3
Suppose 4*s = 6*s - 14. Determine c, given that -12*c**5 - 45*c - 14 + 15*c**2 - s*c**3 - 13 + 13*c**3 + 39*c**3 = 0.
-1, 3/2
Let j(p) be the first derivative of -2*p**3/9 - 10*p**2/3 - 50*p/3 + 16. Let j(v) = 0. What is v?
-5
Let y be (8 - (1 + 1)) + -1. Let w(f) be the second derivative of -3/20*f**y - 3*f + 0 + 3*f**2 - 1/2*f**4 + 1/2*f**3. Factor w(q).
-3*(q - 1)*(q + 1)*(q + 2)
Let r(a) = a + 7. Let n be r(-6). Find k such that -2 - 1 + 3*k**2 + n - k = 0.
-2/3, 1
Let h = -855 - -4279/5. Find r, given that 4/5*r - 1/5*r**2 - h = 0.
2
Suppose 0 = 5*s - 2*p - 21, 4*p + 0*p + 12 = 0. Factor s + 112*j + 2*j**2 - 124*j + 15.
2*(j - 3)**2
Let w(f) be the second derivative of -1/4*f**2 + 13/80*f**5 + 1/24*f**6 - 1/24*f**3 + 0 + 3/16*f**4 + 4*f. Factor w(u).
(u + 1)**3*(5*u - 2)/4
Suppose -n + 12 = 2*n. Let q be (9/6)/(2/n). Factor -g - g**5 + 0*g + g**q + g**3.
-g*(g - 1)**2*(g + 1)**2
Let w be (3 + -4)/(-2)*4. Let n(h) be the first derivative of -2/9*h**3 + 1 + 2/3*h - 5/6*h**w + 5/12*h**4. Factor n(p).
(p - 1)*(p + 1)*(5*p - 2)/3
Suppose 0 = 8*v - 3*v - 20. Let b(q) be the first derivative of -2 - 8/21*q**3 - 10/7*q**5 - 10/7*q**v + 0*q**2 + 0*q. Factor b(l).
-2*l**2*(5*l + 2)**2/7
Let h(q) be the second derivative of q**5/4 + 5*q**4/4 + 7*q. What is o in h(o) = 0