 + 12/11*d - 2/11*d**2 = 0.
0, 6
Let o(p) be the third derivative of -p**5/210 - p**4/28 + 38*p**2. Factor o(c).
-2*c*(c + 3)/7
Factor 0 - 4/5*h - 14/5*h**2 + 8/5*h**3.
2*h*(h - 2)*(4*h + 1)/5
Let o be 1/(-3)*-4 + 0. Let c = -874/3 + 296. What is g in c*g**4 - o*g + 2*g**3 + 2*g**5 - 2*g**2 + 0 = 0?
-1, 0, 2/3
Let v(h) be the second derivative of -h**5/20 + h**4/12 + h**3/6 - h**2/2 + 3*h. Factor v(t).
-(t - 1)**2*(t + 1)
Let o(a) be the first derivative of a**6/12 - a**5/5 - 7*a**4/8 + 10*a**3/3 - 3*a**2 - 25. Solve o(v) = 0 for v.
-3, 0, 1, 2
Let l(r) = r**2 + r - 2. Let s be l(-4). Let o = 14 - s. Factor -b**2 - 2*b**3 + 7*b**2 + 4*b**3 + o*b.
2*b*(b + 1)*(b + 2)
Suppose 0 = -28*b + 30*b - f - 3, -3*f = 2*b + 9. Factor b*v**2 + 0*v + 0 - v**4 - 2/3*v**3 - 1/3*v**5.
-v**3*(v + 1)*(v + 2)/3
Suppose 19*q = 14*q. Solve -1/3*l**3 - 1/3*l**2 + 0*l + q = 0 for l.
-1, 0
Let j(y) = -y**2 - 1. Let c(u) = u**4 + 1. Let v be ((-6)/(-9))/((-1)/(-3)). Let k(h) = v*c(h) + 2*j(h). Solve k(s) = 0 for s.
-1, 0, 1
Factor 7/3*w - 5/3*w**2 - 1 + 1/3*w**3.
(w - 3)*(w - 1)**2/3
Let p(u) be the second derivative of -u**5/120 + u**4/24 - u**3/12 + u**2/12 - 13*u. Factor p(h).
-(h - 1)**3/6
Let d(i) be the third derivative of i**8/252 - 17*i**7/630 + 7*i**6/90 - 11*i**5/90 + i**4/9 - i**3/18 - 6*i**2. Solve d(x) = 0.
1/4, 1
Suppose -5*g + 18 = 3. Let u be ((-10)/4)/(g/(-6)). Determine o so that 1/4*o + 0 - 1/2*o**4 + 0*o**3 + 1/2*o**2 - 1/4*o**u = 0.
-1, 0, 1
Let u(d) be the second derivative of 0 - 6*d - 1/10*d**6 + 0*d**3 + 0*d**2 - 1/4*d**4 - 3/10*d**5. Find c such that u(c) = 0.
-1, 0
Let y(r) = r**2 + 10*r + 9. Let c be y(-9). Let w(o) be the second derivative of -o**3 + c + 1/2*o**4 - o + o**2 - 1/10*o**5. Suppose w(v) = 0. What is v?
1
Suppose -24 = -8*s + 2*s. Factor 0*y - 1/3*y**s + 0*y**3 - 1/3 + 2/3*y**2.
-(y - 1)**2*(y + 1)**2/3
Let u(q) = -2*q**3 - 3*q**2 - 2*q + 2. Let y be u(-2). Solve 2*v**2 - 3*v**2 + 9 - 2*v - y = 0 for v.
-1
Suppose 0*r = 5*r - 20. Factor 23 - 2*z**2 - 2*z**4 - 23 - r*z**3.
-2*z**2*(z + 1)**2
Let f = 2 + 2. Suppose 5*a - 19 = -f. Determine w, given that -4/3 + 8*w + 1/3*w**a - 41/3*w**2 - 25/3*w**5 + 15*w**4 = 0.
-1, 2/5, 1
Let i(k) be the first derivative of k**3 + 1 + 9/4*k**4 + k - 5/2*k**2. Factor i(y).
(y + 1)*(3*y - 1)**2
Let y be 16/(-28) - (-3)/(-6)*-4. Find s such that 0 + 2*s**2 + y*s**3 + 4/7*s = 0.
-1, -2/5, 0
Factor -4/5*h**3 + 12/5*h + 8/5*h**2 + 0.
-4*h*(h - 3)*(h + 1)/5
Factor -73*a + 6*a**2 - 7*a**2 - 3*a**2 - 400 - 7*a.
-4*(a + 10)**2
Let v be ((-3)/(-33))/(5*(-6)/(-165)). Factor 0*s**4 + 1/8*s**5 - v*s**3 - 1/4 + 1/4*s**2 + 3/8*s.
(s - 1)**3*(s + 1)*(s + 2)/8
Suppose -36 = -6*v - 0*v. Suppose -v*c = -7*c. What is t in c + 4/7*t**2 + 2/7*t + 2/7*t**3 = 0?
-1, 0
Let a(d) = d + 5. Let v be a(-3). Let z be -10*(-2)/160*(1 + 1). Solve -x - z*x**v - 1 = 0 for x.
-2
Suppose 5*j - 18 = -3. Suppose 2*r = -j - 5, -2*x - 4*r - 12 = 0. Let 4*g**4 - 4*g**x + 8*g**3 + 2*g**5 - 6*g - 2 - 4*g**3 + 2*g**4 = 0. Calculate g.
-1, 1
Find w such that -w**4 + 1/2*w**5 + 1/2*w - 1 + 2*w**2 - w**3 = 0.
-1, 1, 2
Let m(s) be the third derivative of -1/20*s**6 + 1/30*s**5 + 4/3*s**3 + 0*s + 6*s**2 + 2/3*s**4 + 0. Let m(y) = 0. Calculate y.
-1, -2/3, 2
Let p be (((-1 - -1)/(-1))/(-3))/2. Factor 2/5*d**2 - 6/5*d**3 + p + 4/5*d.
-2*d*(d - 1)*(3*d + 2)/5
Let h be (3/(-12))/((-9)/12). Let m(p) be the second derivative of -p**2 + p + 0 + 1/2*p**5 + 2/15*p**6 - h*p**3 + 1/2*p**4. Factor m(w).
2*(w + 1)**3*(2*w - 1)
Let k(g) = g**3 - 5*g**2 + 4*g - 5. Let a be k(4). Let y = a - -7. Find c, given that 40/7*c + 2*c**3 + 16/7 + 2/7*c**4 + 36/7*c**y = 0.
-2, -1
Let n(h) be the second derivative of -13*h**7/21 - 41*h**6/15 - 9*h**5/2 - 19*h**4/6 - 2*h**3/3 + 7*h. Factor n(b).
-2*b*(b + 1)**3*(13*b + 2)
Find p, given that -6*p + 55*p**2 - 75*p**2 - 6*p - 5*p**3 - 3*p = 0.
-3, -1, 0
Let s(t) = t**2 + 0*t**2 + t - 6*t + 6*t. Let i(w) = 1458*w**4 - 2430*w**3 + 1190*w**2 - 230*w + 16. Let n = -3 + 4. Let l(v) = n*i(v) - 2*s(v). Factor l(h).
2*(h - 1)*(9*h - 2)**3
Let n(f) be the first derivative of 4*f + 1/42*f**4 + 0*f**2 + 1/21*f**3 - 4. Let i(h) be the first derivative of n(h). Factor i(y).
2*y*(y + 1)/7
Find z, given that 1/4*z**3 - 1/4*z**2 + 0 - 1/2*z = 0.
-1, 0, 2
Let j(z) = z**3 + z**2 - z - 3. Let u(p) = p**3 - p - 3. Let x(b) = -3*j(b) + 2*u(b). Factor x(m).
-(m - 1)*(m + 1)*(m + 3)
Let j(s) be the first derivative of -1/21*s**6 - 2 + 2/21*s**3 + 1/14*s**4 + 0*s**2 - 2/35*s**5 + 0*s. Factor j(f).
-2*f**2*(f - 1)*(f + 1)**2/7
Let j(c) be the third derivative of c**6/2700 - c**4/180 + c**3/6 + 8*c**2. Let g(r) be the first derivative of j(r). Factor g(i).
2*(i - 1)*(i + 1)/15
Factor -9/5*c**2 - 4/5 - 12/5*c.
-(3*c + 2)**2/5
Let p(i) = 25*i**2 - 15*i - 1. Let r(n) = n - 3 + 2 + 0. Let x be 2*(0 + (-5)/2). Let a(t) = x*r(t) + p(t). Factor a(m).
(5*m - 2)**2
Find b such that -b**3 + 3*b**2 + 0*b**3 + 3*b**3 + 4*b**3 + 3*b**4 = 0.
-1, 0
Let m(v) = v**2 + 5*v - 10. Let t be m(-7). Let o(d) be the first derivative of -1 + 8/15*d**3 + 8/25*d**5 - 1/15*d**6 - 1/5*d**2 - 3/5*d**t + 0*d. Factor o(b).
-2*b*(b - 1)**4/5
Let r be -2 + (4 - 48/27). Let c(i) be the second derivative of 0 - 4/9*i**3 + 0*i**2 + 2*i + 1/10*i**5 + r*i**4. Let c(s) = 0. What is s?
-2, 0, 2/3
Find q such that 3 - 2*q**2 + 3*q**2 + 2*q - 4 + 2 = 0.
-1
Let c(z) be the first derivative of -z**6/120 + 3*z**5/80 - z**4/16 + z**3/24 + 3*z + 3. Let h(w) be the first derivative of c(w). Suppose h(i) = 0. What is i?
0, 1
Let k(y) be the third derivative of 0*y**3 + 2*y**2 + 0 + 1/30*y**6 - 1/15*y**5 + 0*y - 1/3*y**4. Factor k(f).
4*f*(f - 2)*(f + 1)
Suppose -4*i = -2*s - 2*s + 12, -5*i = 2*s - 20. Factor l**i - 5*l**2 + l**4 + 3*l**2.
l**2*(l - 1)*(l + 1)
Suppose 0 = 4*n - 4*u - 12, 5*n - u - 2 = 13. Factor 0*s + 4/7*s**n + 0*s**2 + 0 - 2/7*s**4.
-2*s**3*(s - 2)/7
Let 0*h**2 - 10/9*h**4 - 2/9*h**5 + 0*h + 0 - 8/9*h**3 = 0. What is h?
-4, -1, 0
Suppose -33 - 19 = -13*n. Suppose -2/7*f**5 + 2/7*f**2 - 6/7*f**3 + 0 + 6/7*f**n + 0*f = 0. Calculate f.
0, 1
Let k(d) = -5*d**4 + 35*d**3 - 60*d**2 + 65. Let f(w) = w**4 - 6*w**3 + 10*w**2 - 11. Let y(a) = 35*f(a) + 6*k(a). What is h in y(h) = 0?
-1, 1
Factor -2*x**3 - 2*x**4 - 3*x**2 - x + 3*x**3 - x**2 + 6*x**4.
x*(x - 1)*(x + 1)*(4*x + 1)
Let z(v) = -v**2 + 2*v - 6. Let y(m) = -m**2 + 5*m - 4. Let x be y(5). Let s(d) = -4*d**2 + 7*d - 25. Let g(k) = x*s(k) + 18*z(k). Find t such that g(t) = 0.
2
What is d in -2*d**3 + 0*d**3 - 4*d - 2*d**3 + 8*d**2 = 0?
0, 1
Let z(m) be the second derivative of -m**5/10 + m**4/3 + m. Factor z(x).
-2*x**2*(x - 2)
Let q(c) be the third derivative of 2*c**7/105 - c**5/15 - 20*c**2. Determine z so that q(z) = 0.
-1, 0, 1
Factor 3 - 21/2*p + 15/2*p**2.
3*(p - 1)*(5*p - 2)/2
Let a = -6259853/119 + 52605. Let b = 30/17 - a. Factor 2/7*n**2 + 2/7 + b*n.
2*(n + 1)**2/7
Let c = -247/1360 - 1/170. Let k = c - -11/16. Factor 2 + k*p**2 - 2*p.
(p - 2)**2/2
Factor 1/2*v + 0 + 1/4*v**2.
v*(v + 2)/4
Let p(y) be the second derivative of 0 + 2/27*y**3 - 1/9*y**2 + y - 1/54*y**4. Factor p(u).
-2*(u - 1)**2/9
Let n = -17/11 - -163/77. Factor -2/7*w**4 + 0*w**2 + n*w**3 - 4/7*w + 2/7.
-2*(w - 1)**3*(w + 1)/7
Let s(v) be the second derivative of -v**5/40 + v**4/8 + 3*v. Solve s(g) = 0 for g.
0, 3
Let -2*p**4 - 2/3*p**2 - 11/3*p**3 - 1/3*p**5 + 8/3 + 4*p = 0. Calculate p.
-2, -1, 1
Let w(c) be the second derivative of 2*c**6/5 - 4*c**5/5 - 11*c**4/9 - 4*c**3/9 - 8*c. Let w(i) = 0. Calculate i.
-1/3, 0, 2
Solve 3/5*t + 0*t**3 - 6/5*t**4 - 3/5*t**5 + 0 + 6/5*t**2 = 0.
-1, 0, 1
Let n(y) be the third derivative of -y**8/1680 + y**7/140 - y**6/40 - 2*y**3/3 - 5*y**2. Let o(c) be the first derivative of n(c). Find k, given that o(k) = 0.
0, 3
Let n(i) = -2*i**2 + 8*i - 11. Let t(m) = -m**2 + 4*m - 6. Let g(p) = -3*n(p) + 5*t(p). What is j in g(j) = 0?
1, 3
Let a(p) = 4*p**2 + 16*p - 17. Let u(m) = -m**2 - m - 1. Let b(o) = a(o) + u(o). Factor b(y).
3*(y - 1)*(y + 6)
Let t be 4 + (-27)/8 + (-4)/32. Factor 3/2*j**2 + 1/2*j + 0 + 3/2*j**3 + t*j**4.
j*(j + 1)**3/2
Let m be (-3188)/90 + 4/18. Let t = -35 - m. Let t*l**3 + 0 - 2/5*l**2 + 1/5*l = 0. Calculate l.
0, 1
Let m(v) be the first derivative of 5*v**6/12 - 2*v**5 + 5*v**4/2 + 5*v**3/3 - 25*v