rivative of -f**5/40 - f**4/16 + f**3/2 + 5*f**2. Factor t(w).
-3*(w - 1)*(w + 2)/2
Suppose -7*y + 7 + 7 = 0. Solve -72/5*h**4 + 106/5*h**3 + 4/5*h + 0 - 38/5*h**y = 0.
0, 2/9, 1/4, 1
Let p(y) be the first derivative of -y**6/6 - 2*y**5/5 + 6. Find k such that p(k) = 0.
-2, 0
Let w(j) be the second derivative of -2*j - 1/80*j**5 + 1/4*j**2 + 1/24*j**3 - 1/24*j**4 + 0. Factor w(y).
-(y - 1)*(y + 1)*(y + 2)/4
Let b(u) be the first derivative of u**6/14 + 6*u**5/35 - 3*u**4/14 - 4*u**3/7 + 3*u**2/14 + 6*u/7 + 4. What is l in b(l) = 0?
-2, -1, 1
Let z be (-10)/(-12) - 4/8. Let 0*t**3 - 2/3*t**4 + z*t - 1/3*t**5 + 2/3*t**2 + 0 = 0. Calculate t.
-1, 0, 1
Suppose 2*v = -4*v - 2*v. Let r(s) be the first derivative of -3 + v*s + 0*s**2 - 2/21*s**3 + 0*s**4 + 2/35*s**5. Let r(f) = 0. Calculate f.
-1, 0, 1
Suppose 12*d - 12 = 11*d. Find w such that 0 - d*w**3 - w - 15/2*w**2 + 8*w**4 = 0.
-1/4, 0, 2
Let i(x) = 5*x + 11. Let w be i(-8). Let b = w - -32. Let -4/5*k**2 + 2/5*k**4 - 2/5*k**5 + 2/5 - 2/5*k + 4/5*k**b = 0. Calculate k.
-1, 1
Suppose 0 = -8*x + 46 - 22. Factor -1/4*b + 1/4 - 3/4*b**2 + 5/4*b**x - 1/2*b**4.
-(b - 1)**3*(2*b + 1)/4
Let l = 27/28 + -5/7. Let v = -5 - -8. Factor -l*o - 1/4*o**2 + 1/4*o**v + 1/4.
(o - 1)**2*(o + 1)/4
Let a(r) be the first derivative of -r**4/8 + 2. Factor a(j).
-j**3/2
Determine b so that 0 - 2/7*b**2 + 4/7*b = 0.
0, 2
Let b(x) be the first derivative of -8*x**3/3 + x**2 - x/8 - 4. Factor b(t).
-(8*t - 1)**2/8
Let g(w) be the third derivative of w**8/112 - 3*w**7/70 + 3*w**6/40 - w**5/20 - 5*w**2. Factor g(o).
3*o**2*(o - 1)**3
Let f(p) be the first derivative of -p**6/39 - 2*p**5/65 + p**4/26 + 2*p**3/39 + 12. Determine k, given that f(k) = 0.
-1, 0, 1
Let p(t) be the first derivative of 5*t**6/6 - 7*t**5 + 45*t**4/2 - 110*t**3/3 + 65*t**2/2 - 15*t - 13. Factor p(q).
5*(q - 3)*(q - 1)**4
Let j(l) = l + 4. Let z be j(-4). Let b(i) be the third derivative of 1/420*i**6 - 1/735*i**7 + 0*i**3 + 0*i + 2*i**2 + z*i**4 + 0*i**5 + 0. Factor b(d).
-2*d**3*(d - 1)/7
Suppose 4*x + 2 = 14. Factor g - 2*g**2 + g + g**3 - x*g**3 + 2.
-2*(g - 1)*(g + 1)**2
Let c = -113/2 - -62. Let 1/2 + c*g**2 + 10*g**3 - 4*g = 0. What is g?
-1, 1/5, 1/4
What is y in -8/11*y**2 + 4/11*y + 2/11*y**4 - 4/11*y**3 + 6/11 = 0?
-1, 1, 3
Let p(r) be the second derivative of -r**7/42 + r**6/30 + r**5/10 - 2*r. Factor p(n).
-n**3*(n - 2)*(n + 1)
Let d be (9/2)/3*2. Let -6/5*h**2 + 2/5*h**d - 2/5 + 6/5*h = 0. What is h?
1
Factor -3*z**3 + 4*z**5 + z**5 + 2*z + 3*z - 7*z**3.
5*z*(z - 1)**2*(z + 1)**2
Factor -14*h**3 + 2*h**4 - h**2 - h**4 + 13*h**3 + h**5.
h**2*(h - 1)*(h + 1)**2
Let o = -1267/9 - -141. Let t = 132 + -130. Factor o*v**t + 2/3*v + 4/9.
2*(v + 1)*(v + 2)/9
Let o(y) be the first derivative of y**3 - 1/10*y**5 - 5/8*y**4 + 1/8*y**6 - 1/2*y - 1/8*y**2 - 1. Factor o(p).
(p - 1)**3*(p + 2)*(3*p + 1)/4
Let t(p) be the second derivative of -p**5/90 + p**3/27 + 11*p. Factor t(h).
-2*h*(h - 1)*(h + 1)/9
Find j, given that -1/3*j**3 + 1/3*j + 0 + 0*j**2 = 0.
-1, 0, 1
Let x be 4/(-18) - 5/135*-6. Factor -1/4 + 1/2*r**3 + x*r**2 - 1/2*r + 1/4*r**4.
(r - 1)*(r + 1)**3/4
Let q(p) be the third derivative of -p**6/60 + p**5/30 + p**4/12 - p**3/3 - 3*p**2. Let q(r) = 0. What is r?
-1, 1
Let l = 6 + -4. Let x = l + 0. Factor 0 + 1/4*g - 1/2*g**3 + 1/4*g**x.
-g*(g - 1)*(2*g + 1)/4
Factor 3*k**2 + 12/5 - 24/5*k - 3/5*k**3.
-3*(k - 2)**2*(k - 1)/5
Let b be (-36)/(-15)*5/2. Factor 8*p**2 + 9*p + 8 + 11*p - b*p**2 + 6*p**2.
4*(p + 2)*(2*p + 1)
Let j be 8/(-28) + (-2 - 111/(-21)). Solve 0*p**2 + 0 + p**j - 1/2*p**4 + 0*p = 0 for p.
0, 2
Let x(k) be the first derivative of 2/9*k**3 + 0*k + 1/12*k**4 + 1/6*k**2 - 3. Find w such that x(w) = 0.
-1, 0
Let m(z) be the first derivative of 0*z - 1/3*z**3 - z**2 + 5. Factor m(k).
-k*(k + 2)
Factor 1/5*c**4 + 0 - 2/5*c**3 - 1/5*c**2 + 2/5*c.
c*(c - 2)*(c - 1)*(c + 1)/5
Suppose -37*u + 39*u - 8 = 0. Factor 2/3*b**2 + 0*b**3 + 0 - 2/3*b**u + 1/3*b - 1/3*b**5.
-b*(b - 1)*(b + 1)**3/3
Let z = 20 + -13. Let m(i) = -i**2 + 7*i. Let b be m(z). Find s, given that b*s + 1/2*s**2 + 0 = 0.
0
Let l(b) be the first derivative of -b**7/1680 + b**6/360 - b**5/240 - b**3/3 - 3. Let u(n) be the third derivative of l(n). Suppose u(f) = 0. Calculate f.
0, 1
Factor 12*a**2 + 2*a - 3*a - 11*a**2.
a*(a - 1)
Let o(h) = 4*h**3 - 15*h**2 + 8*h - 3. Let u(z) = 4*z**3 - 14*z**2 + 8*z - 4. Let k(f) = -4*o(f) + 3*u(f). Suppose k(b) = 0. What is b?
0, 1/2, 4
Let v(z) be the third derivative of z**6/660 - z**5/110 + z**4/44 - z**3/33 - 6*z**2. Suppose v(m) = 0. What is m?
1
Let k = -4 + 4. Suppose 3*o - 2 = 4*n - 5, -2*n + 5*o - 9 = k. Factor 2 - 3*a**3 - 2 - 3*a**2 + n*a + 3*a**4.
3*a*(a - 1)**2*(a + 1)
Let r(w) be the third derivative of -w**6/720 - w**5/240 + w**4/24 - w**3/6 - 3*w**2. Let i(n) be the first derivative of r(n). Suppose i(p) = 0. What is p?
-2, 1
Let z = 47 + -187/4. Let a(t) be the first derivative of -z*t - 1/8*t**4 + 1/20*t**5 + 0*t**3 + 1/4*t**2 - 1. Factor a(m).
(m - 1)**3*(m + 1)/4
Let h(y) = y**3 - 4*y**2 + 2*y. Let g be h(4). Factor -3*r**2 + 0*r + g - 2 - 3*r.
-3*(r - 1)*(r + 2)
Let b(h) be the first derivative of -20*h**3/21 + h**2/7 + 4*h/7 - 7. Factor b(k).
-2*(2*k - 1)*(5*k + 2)/7
Let g(x) be the first derivative of x**3/27 + x**2/6 + 2*x/9 - 10. Factor g(q).
(q + 1)*(q + 2)/9
Suppose -2 - 19 = -3*w. Suppose w - 3 - 4*r**2 - r**3 - 2*r + 3*r**3 = 0. What is r?
-1, 1, 2
Let x(k) be the third derivative of -k**5/150 - 7*k**4/15 - 196*k**3/15 + 18*k**2. Factor x(f).
-2*(f + 14)**2/5
Let z(p) be the third derivative of p**5/60 + p**4/24 + p**3/6 + p**2. Let d(b) = -b**3 + b**2 + 3. Let o(t) = d(t) - 5*z(t). Determine x, given that o(x) = 0.
-2, -1
Let l(b) be the second derivative of -2*b**7/63 + b**6/15 + 2*b**5/15 - b**4/3 - 2*b**3/9 + b**2 + 11*b. Find r such that l(r) = 0.
-1, 1, 3/2
Suppose 5*w - 10*w + 16 - 7*w - 4*w**2 = 0. Calculate w.
-4, 1
Let j(n) be the third derivative of -3*n**5/100 - n**4/20 + 5*n**2. Factor j(r).
-3*r*(3*r + 2)/5
Let k(b) be the second derivative of -b**7/252 - b**6/36 - b**5/12 - 5*b**4/36 - 5*b**3/36 - b**2/12 - 6*b. Let k(g) = 0. Calculate g.
-1
Let f = -49633/19 - -2613. Factor f*k**2 - 8/19 + 24/19*k.
2*(k + 2)*(7*k - 2)/19
Let r = -173 + 173. Factor r*x**2 + 0 - 6/5*x**3 + 0*x - 2/5*x**4.
-2*x**3*(x + 3)/5
Let g(t) = t + 6. Let d be g(-3). Factor z**3 - d*z - z + 14*z**4 + 0*z - 14*z**2 + 3*z**3.
2*z*(z - 1)*(z + 1)*(7*z + 2)
Let m(s) = 2*s**3 + s + 3. Let g(d) = -d**3 - d - 2. Suppose -3 = 2*f + 3. Let l(z) = f*g(z) - 2*m(z). Factor l(a).
-a*(a - 1)*(a + 1)
Let z(n) be the first derivative of -n**4/18 - n**3/9 - 5*n + 3. Let v(o) be the first derivative of z(o). Solve v(k) = 0 for k.
-1, 0
Determine r, given that -386 + 386 - 4*r**3 + 4*r**5 = 0.
-1, 0, 1
Suppose 0 = 2*m - 5 - 15. Let u = m - 8. Let 2/3 + 2*b**2 - u*b - 2/3*b**3 = 0. Calculate b.
1
Solve -127*z**3 + 160*z**2 + 8 + 53*z**2 - 39*z**2 - 68*z + 28*z**4 = 0 for z.
1/4, 2/7, 2
Let z(t) be the second derivative of -t**5/4 - 5*t**4/12 + 25*t**3/3 - 20*t**2 - 49*t. Factor z(c).
-5*(c - 2)*(c - 1)*(c + 4)
Let h(z) be the third derivative of -2/25*z**6 + 0*z**3 + 0 + 0*z + 2/25*z**5 - 5*z**2 - 1/40*z**4. Let h(a) = 0. Calculate a.
0, 1/4
Let t = 1483/5 + -10246/35. Solve -6/7*k + 0 + t*k**2 - 3*k**3 = 0 for k.
0, 2/7, 1
Factor 0 + 5*z**3 + 5/2*z**4 + 0*z + 5/2*z**2.
5*z**2*(z + 1)**2/2
Let t(d) be the second derivative of -d**6/10 + 3*d**5/20 + 23*d. Factor t(n).
-3*n**3*(n - 1)
Let g = 23 + -21. Determine h, given that 0 + 1/3*h**g + 0*h + 1/3*h**4 - 2/3*h**3 = 0.
0, 1
Let r(c) be the third derivative of -c**6/540 + c**5/135 + 13*c**4/108 + 10*c**3/27 - 25*c**2. Factor r(s).
-2*(s - 5)*(s + 1)*(s + 2)/9
Let z be (4 + (-60)/16)*(20 + -8). What is l in -5/4*l**2 - 1 - z*l = 0?
-2, -2/5
Factor -4*s**2 - 9*s**2 - 16*s - 51*s**2 + 36*s**3.
4*s*(s - 2)*(9*s + 2)
Solve 15/2*y**3 - 3*y**4 - 3/2*y**2 + 0 - 3*y = 0 for y.
-1/2, 0, 1, 2
Let p(g) = 6*g**2 - 146*g + 1014. Let x(t) = -2*t**2 + 49*t - 338. Let u(r) = 3*p(r) + 10*x(r). Find a such that u(a) = 0.
13
Factor -3*b**4 + 2*b**2 + b**4 - 16 + 16 - 4*b + 4*b**3.
-2*b*(b - 2)*(b - 1)*(b + 1)
Let x(c) = -8*c**5 + 9*c**4 + 5*c**2 + 8*c + 7. Let m(v) = -v**5 + v**4 + v**2 + v + 1. Let z(l