*2 + 3*x + c*x**3 + 1/100*x**5 + 0 + 1/60*x**4. Factor d(s).
s**2*(s + 1)/5
Let j(v) be the third derivative of -v**6/30 + 2*v**5/15 + v**4/6 - 4*v**3/3 + 12*v**2. Factor j(u).
-4*(u - 2)*(u - 1)*(u + 1)
Let m(l) = l**2 - l. Let x be m(1). Let r = x + 1. Let k(n) = -n - 1. Let s(v) = 3*v**2 + 15*v. Let t(q) = r*s(q) + 9*k(q). Factor t(c).
3*(c - 1)*(c + 3)
Find f such that 80*f + 5*f**2 - 10*f**2 - 142 - 178 = 0.
8
Suppose 2*g - 7 = -3. Determine v, given that -6*v**2 - 5 - 4*v + 4 - 4*v**3 - 3*v**4 + g*v**4 = 0.
-1
Let h(d) be the third derivative of -d**5/140 - 15*d**4/28 - 225*d**3/14 - 70*d**2. Determine l so that h(l) = 0.
-15
Let g = -2/83 + 338/249. Let -2/3*l**3 + 5/3*l**2 - g*l + 1/3 = 0. Calculate l.
1/2, 1
Suppose 11*r - 8 = 36. What is s in -2/3*s**2 + 2/3*s**r + 2/3*s - 2/3*s**3 + 0 = 0?
-1, 0, 1
Determine b so that 15*b**3 + 4*b**3 - 20*b**3 = 0.
0
Factor 4/9*m**2 + 0*m + 0 - 2/9*m**3.
-2*m**2*(m - 2)/9
Let s(a) = 3*a**5 + 2*a**4 - a**3 - 4*a**2 + 2*a + 2. Let w(d) = -13*d**5 - 8*d**4 + 3*d**3 + 16*d**2 - 7*d - 9. Let m(p) = -9*s(p) - 2*w(p). Factor m(h).
-h*(h - 1)**2*(h + 2)**2
Let u(o) be the third derivative of 1/420*o**6 - 1/210*o**5 + 0*o**4 + 0*o + 0 - 2*o**2 + 0*o**3. Solve u(p) = 0 for p.
0, 1
Let r(p) = -4*p**2 + 10*p + 2. Let u(y) = 9*y**2 - 21*y - 5. Let z(l) = 5*r(l) + 2*u(l). Factor z(c).
-2*c*(c - 4)
Let x be (1/4 + -1)/((-27)/108). Let i(k) be the second derivative of 1/54*k**4 + 0*k**2 + 1/27*k**x + 3*k + 0. Factor i(g).
2*g*(g + 1)/9
Let j(s) = -s - 12. Let a be j(-14). Suppose 0 - 3*h**3 + 15/4*h**a - 3/4*h = 0. What is h?
0, 1/4, 1
Let g = 20 - 5. Let o = -13 + g. Factor 8/3 + 2/3*w**o + 8/3*w.
2*(w + 2)**2/3
Let a(j) be the third derivative of 0*j + 0 + 1/4*j**3 + j**2 + 3/40*j**5 - 3/16*j**4 - 1/80*j**6. Let a(r) = 0. What is r?
1
Determine z so that 1/4*z**3 + 0*z - 3/4*z**2 + 0 = 0.
0, 3
Let v(u) be the third derivative of u**6/180 - u**4/12 + 2*u**3/9 + 2*u**2. Determine y so that v(y) = 0.
-2, 1
Suppose 4*z + 5 = o - 15, 40 = 5*o - 5*z. Factor 6/5*m**3 + 0*m**2 + 3/5 - 3/5*m**o - 6/5*m.
-3*(m - 1)**3*(m + 1)/5
Let s be (-18)/(-6) + (-2 - -4). Suppose 3*c + 3*c - 4*c - 2*c**s - 4*c**2 + 4*c**4 = 0. Calculate c.
-1, 0, 1
Let z(s) be the first derivative of 2*s**5/45 - s**4/9 + 2*s**3/27 + 6. Factor z(u).
2*u**2*(u - 1)**2/9
Let q(o) = 5*o**2 - 3*o - 2. Let c(w) = -39*w**2 + 23*w + 16. Let l(f) = 6*c(f) + 51*q(f). Factor l(t).
3*(t - 1)*(7*t + 2)
Let x be (-3)/8 - (-5)/8. Factor x*b**2 + b + 1.
(b + 2)**2/4
Let t(x) = x**2 + 2*x - 4. Let s be t(-4). Let q be (-29)/(-4) - 1/s. Solve 3*o - q*o - 2*o**2 - 8*o**2 = 0.
-2/5, 0
Let x(s) be the third derivative of -s**8/20160 - s**7/1260 - s**6/240 + s**5/30 - 9*s**2. Let o(c) be the third derivative of x(c). Factor o(p).
-(p + 1)*(p + 3)
Let l(r) be the first derivative of -r**3/27 + 2*r**2/9 - 4*r/9 - 5. Suppose l(n) = 0. Calculate n.
2
Let z(a) be the second derivative of 7*a**6/65 - 41*a**5/130 + 17*a**4/78 + 5*a**3/39 - 2*a**2/13 - 2*a. Let z(d) = 0. Calculate d.
-1/3, 2/7, 1
Suppose w + 3*s + 15 = 0, -w = 3*w + 5*s + 25. Determine j, given that 0*j**4 + j**3 + w - 1/3*j**5 + 2/3*j**2 + 0*j = 0.
-1, 0, 2
Suppose 10 + 35*h - 41*h**3 - 10*h**5 + 46*h**2 - 21*h**2 - 35*h**4 + 16*h**3 = 0. Calculate h.
-2, -1, -1/2, 1
Let g be (-1 - 2)/(1 - 0). Let w be 6*4*g/(-18). Solve -o**2 - o**3 + o**w + o**5 + o**2 - o**2 = 0 for o.
-1, 0, 1
Let w(h) be the second derivative of -h**8/5880 + h**7/8820 + h**6/630 - h**5/420 + h**4/3 - 4*h. Let s(c) be the third derivative of w(c). Factor s(x).
-2*(x - 1)*(x + 1)*(4*x - 1)/7
Let y = 8 - 6. Factor -3*i**2 - 12*i - 3 - 15 + i**y.
-2*(i + 3)**2
Determine d, given that 2/3 + 2/3*d**2 + 4/3*d = 0.
-1
Let h = 1/55 + 53/110. Suppose 1 - 1/2*n**2 - h*n = 0. Calculate n.
-2, 1
Let y(a) be the first derivative of -2 - 1/12*a**3 + 1/2*a + 1/8*a**2. Find d, given that y(d) = 0.
-1, 2
Solve 0 + 0*j + 1/2*j**2 + 1/4*j**3 = 0.
-2, 0
Let r(q) be the third derivative of -7*q**8/16 - 3*q**7/5 - 9*q**6/40 - 6*q**2. Factor r(f).
-3*f**3*(7*f + 3)**2
Let h(p) be the second derivative of 4*p + 1/35*p**6 + 16/7*p**2 + 16/7*p**3 + 0 + 8/7*p**4 + 2/7*p**5. Factor h(j).
2*(j + 2)**3*(3*j + 2)/7
Let z(o) = 21*o - 24. Let d(b) = -b**2 + 20*b - 25. Let r(v) = -3*d(v) + 2*z(v). Find g, given that r(g) = 0.
3
Let i(d) be the first derivative of -d**5/30 - d**4/12 - d**3/18 + 42. Solve i(s) = 0 for s.
-1, 0
Let y be (7 + -1)*(-1)/(-2). Let 0*t - 12 + 4*t + 8*t - y*t**2 = 0. Calculate t.
2
Factor 6*x - 31 + 12*x**3 + 31 + 27*x**2.
3*x*(x + 2)*(4*x + 1)
Suppose -3*k + 3 - 6 = -5*x, x = 3*k - 9. Let o(g) be the second derivative of -3*g**2 - 27/20*g**5 + 0 - 5*g**4 - 13/2*g**x - g. Factor o(z).
-3*(z + 1)**2*(9*z + 2)
Suppose -16*d = -20*d + 20. Find r, given that 2/7*r**3 + 4/7*r**4 - 2/7*r**d + 0*r + 0 - 4/7*r**2 = 0.
-1, 0, 1, 2
Let m(o) be the first derivative of -o**7/420 - o**6/60 - o**5/20 - o**4/12 - o**3 - 1. Let p(y) be the third derivative of m(y). Suppose p(u) = 0. Calculate u.
-1
Let r(y) be the first derivative of 28*y**6/9 + 66*y**5/5 + 131*y**4/6 + 158*y**3/9 + 7*y**2 + 4*y/3 + 11. Suppose r(j) = 0. Calculate j.
-1, -2/7, -1/4
Factor 0 + 1/2*r**2 + 5/2*r.
r*(r + 5)/2
Let m(x) be the second derivative of x**6/75 + x**5/10 + 3*x**4/10 + 7*x**3/15 + 2*x**2/5 + 2*x - 37. What is y in m(y) = 0?
-2, -1
Determine x, given that -3/2*x**2 + 0 + 3*x = 0.
0, 2
Factor -20/3*s + 4/3*s**2 + 4 + 4/3*s**3.
4*(s - 1)**2*(s + 3)/3
Suppose 0 = 5*h + 3*x - 22, -h - 6 = -5*x + 3*x. Factor 0*y - 2/7 + 2/7*y**h.
2*(y - 1)*(y + 1)/7
Let p(n) = -n + 13. Let i be p(7). Factor 0*d + 2*d**3 - d - 7*d**2 + i*d**2 - d**3 + 1.
(d - 1)**2*(d + 1)
Find c, given that 8/7 - 2/7*c**3 + 10/7*c**2 - 16/7*c = 0.
1, 2
Let q be (-12)/(-42) + (-1256)/4298. Let y = 3987/614 - q. Factor -11/2*u - 2*u**3 + 1 + y*u**2.
-(u - 2)*(u - 1)*(4*u - 1)/2
Let v be 3*(-95)/(-120) - 1/8. Factor -1/2*u - v*u**2 + 0 - 7/4*u**3.
-u*(u + 1)*(7*u + 2)/4
What is b in -2*b + 3*b + 3*b - 2*b**2 + 0*b**2 = 0?
0, 2
Let c(r) = -39*r**4 - 181*r**3 - 429*r**2 - 360*r - 80. Let h(b) = 19*b**4 + 91*b**3 + 214*b**2 + 180*b + 40. Let o(x) = -4*c(x) - 9*h(x). Factor o(u).
-5*(u + 2)**3*(3*u + 1)
Let i(c) be the first derivative of 2*c**5/35 + c**4/7 - 2*c**2/7 - 2*c/7 - 11. Solve i(t) = 0 for t.
-1, 1
Let o(a) = a**3 - 9*a**2 - 11*a + 12. Let f be o(10). Suppose -5*s = 3*m - 0 + 6, -s + 4 = -f*m. What is t in s*t**2 - 3*t**2 - 12 + 6*t + 6*t = 0?
2
Let i(c) be the second derivative of -c**4/12 - c**3/6 - 4*c. Let f(u) = -6*u**2 - 6*u. Let m(d) = f(d) - 3*i(d). Find q such that m(q) = 0.
-1, 0
Factor 8*i**2 - 14 - 14*i + 0 - 33*i - i**2.
(i - 7)*(7*i + 2)
Let l = 23/6 - 7/2. Let p be (-6)/8*(-168)/189. Factor l*g**2 + 0 + p*g.
g*(g + 2)/3
Let z(d) be the third derivative of -d**2 + 0 + 1/112*d**8 - 1/10*d**5 + 1/35*d**7 + 0*d**3 + 0*d + 0*d**6 - 1/8*d**4. Factor z(k).
3*k*(k - 1)*(k + 1)**3
Let j(c) be the first derivative of -c**3/15 + c**2/5 + 9. Solve j(b) = 0.
0, 2
Suppose y = -2*i - 4, 5 = -3*i - 4. Factor -7 + 8*r + y*r**2 + 2*r**2 + 11.
4*(r + 1)**2
Let y be 65/(-7 + -6) - (0 + -8). Let h + 1/2*h**y - 1 + 7/4*h**2 = 0. Calculate h.
-2, 1/2
Let f(w) be the second derivative of -w**4/96 - w**3/12 - w**2/4 - 3*w. Determine z so that f(z) = 0.
-2
Factor 2*h**4 + 0*h + 0*h**2 - 4/3*h**3 - 2/3*h**5 + 0.
-2*h**3*(h - 2)*(h - 1)/3
Let a(p) be the third derivative of -3/320*p**6 + 0 - 1/40*p**5 + 0*p**3 - 1/64*p**4 + 9*p**2 + 0*p. Factor a(n).
-3*n*(n + 1)*(3*n + 1)/8
Let s(m) be the third derivative of 1/80*m**5 + 0 + 1/280*m**7 - 1/80*m**6 + 0*m**4 + 0*m + 0*m**3 + 3*m**2. Factor s(h).
3*h**2*(h - 1)**2/4
Let v(o) be the first derivative of 3*o**4/4 + 3*o**3 + 3*o**2 - 9. Factor v(f).
3*f*(f + 1)*(f + 2)
Let y(k) be the third derivative of k**2 + 0 + 0*k**3 + 0*k - 1/48*k**5 + 7/480*k**6 - 1/48*k**4. Suppose y(l) = 0. Calculate l.
-2/7, 0, 1
Let c(r) = 10*r**3 + 20*r**2 + 10*r - 5. Let a(i) = 5*i**3 + 10*i**2 + 5*i - 3. Let s(x) = 5*a(x) - 3*c(x). Factor s(m).
-5*m*(m + 1)**2
Suppose -n = -5*i - 2*n, 4*i - 2*n = 0. Suppose 2*z - 2*z**2 + i*z**2 + z**2 = 0. What is z?
0, 2
Solve -1/2*a**2 + 2*a - 2 = 0.
2
Let n(d) be the second derivative of -1/30*d**5 + 6*d - 2/3*d**2 + 1/9*d**3 + 1/9*d**4 + 0. Determine b, given