-2/5, 0, 1/4, 1
Let t(x) be the first derivative of -x**6/2 - 3*x**5/5 + 3*x**4/4 + x**3 - 7. Solve t(r) = 0 for r.
-1, 0, 1
Suppose -12 = 3*h - 18. Let z be 1 + h - 5 - -2. Suppose 0*s**2 + z*s - 1/2*s**3 + 0 = 0. Calculate s.
0
Let c(t) be the third derivative of -t**9/25200 + t**8/8400 - t**7/12600 - t**4/8 - 3*t**2. Let w(m) be the second derivative of c(m). Factor w(v).
-v**2*(v - 1)*(3*v - 1)/5
Find x such that 0 + 0*x**2 - 1/6*x**4 + 1/3*x**3 + 0*x = 0.
0, 2
Factor 0 + 4/7*i**2 - 4/7*i - 1/7*i**3.
-i*(i - 2)**2/7
Let z(o) be the first derivative of 17/2*o**4 + 6/5*o**5 + 68/3*o**3 + 16*o + 3 + 28*o**2. Suppose z(t) = 0. What is t?
-2, -1, -2/3
Let c be (-5)/(-2) - (1 + 4/(-8)). What is j in 4/5*j**c + 0 - 4/5*j = 0?
0, 1
Suppose -3/5*a**2 + 0 + 0*a + 3/5*a**5 + 3/5*a**4 - 3/5*a**3 = 0. Calculate a.
-1, 0, 1
Let t(u) be the second derivative of 2*u**6/15 + 11*u**5/10 + 11*u**4/6 - 5*u**3 - 9*u**2 + 23*u. Factor t(a).
2*(a - 1)*(a + 3)**2*(2*a + 1)
Let y(f) be the third derivative of -6*f**2 + 0*f - 1/24*f**4 + 1/120*f**6 - 1/30*f**5 + 0 + 1/3*f**3. Determine d, given that y(d) = 0.
-1, 1, 2
Let v(a) be the first derivative of 1 + 0*a + 2/21*a**3 - 1/2*a**2 + 1/210*a**5 - 1/28*a**4. Let i(x) be the second derivative of v(x). Solve i(m) = 0 for m.
1, 2
Let w be ((-2)/(-4))/(5/20). Determine a so that a**2 + 2*a**2 + a - w*a - a = 0.
0, 2/3
Let i(w) be the first derivative of 0*w - w**2 - 3 - 2/3*w**3. What is m in i(m) = 0?
-1, 0
Let c(l) be the second derivative of -3*l**5/5 - 13*l**4/4 - 11*l**3/2 - 3*l**2 - 14*l. Factor c(q).
-3*(q + 1)*(q + 2)*(4*q + 1)
Let q(t) = -2*t**4 - t**3 + 5*t**2 - 2*t + 3. Let d(y) = 1. Let z(n) = n**3 - n**2. Let p(g) = d(g) - z(g). Let a(j) = 3*p(j) - q(j). Factor a(l).
2*l*(l - 1)**2*(l + 1)
Suppose 4*j = -3*m + 18, -j + 6 = j. Factor 0*u**2 + u - 2*u**2 - 13*u + 14*u**m - 3*u**3.
-3*u*(u - 2)**2
Let t = 1 + 7. Solve 7*u**3 + 2*u**2 + t*u + 5*u**4 - 8*u = 0 for u.
-1, -2/5, 0
Let n = -16 - -19. Factor -3 + 2 - n*p**2 + 3 + 2 + 4*p.
-(p - 2)*(3*p + 2)
Suppose -2*m + 6*m = 4*i - 16, -3*m + 16 = 4*i. Let v(q) be the second derivative of -1/5*q**5 + i*q + 2/3*q**3 + 0 + 0*q**2 + 1/2*q**4. Factor v(d).
-2*d*(d - 2)*(2*d + 1)
Let n(u) be the second derivative of -u**7/105 + u**6/60 + 3*u**2/2 + 4*u. Let j(q) be the first derivative of n(q). Find v such that j(v) = 0.
0, 1
Let z(u) = -u**2 - u + 56. Let j be z(7). Factor -3/4*o**5 + 0*o + j*o**2 + 0 + 3/4*o**3 + 0*o**4.
-3*o**3*(o - 1)*(o + 1)/4
Suppose -4*v - 2 = -18. Let l(x) = -6*x**3 - 43*x**2 - 54*x. Let j(s) = -3*s**3 - 22*s**2 - 27*s. Let t(c) = v*l(c) - 7*j(c). Solve t(h) = 0.
-3, 0
Let i(p) be the third derivative of 1/360*p**6 - 1/60*p**5 - p**2 + 0 + 1/36*p**4 + 0*p**3 + 0*p. What is b in i(b) = 0?
0, 1, 2
Let h be (-9)/(-6) - 385/(-10). Let q be (48/h)/(7/5). Factor 4/7 + 0*g**2 + 2/7*g**3 - q*g.
2*(g - 1)**2*(g + 2)/7
Let g(s) = 126*s**3 + 100*s**2 - 54*s - 28. Let y(w) = -25*w**3 - 20*w**2 + 11*w + 6. Let c(n) = 3*g(n) + 14*y(n). Find h such that c(h) = 0.
-1, 0, 2/7
Let q(h) be the third derivative of 0 + 0*h + 1/60*h**4 + 4*h**2 + 1/150*h**6 + 1/1050*h**7 + 1/60*h**5 + 0*h**3. Solve q(u) = 0 for u.
-2, -1, 0
Solve 6*z**2 + 8*z - 4*z**2 + 3 + 3 = 0.
-3, -1
Suppose -5*s = j - 25, -2*s + 8 + 0 = 0. Factor 1/4*i**4 - 1/4*i**3 + 1/4*i**j - 1/4*i**2 + 0*i + 0.
i**2*(i - 1)*(i + 1)**2/4
Let s(o) be the third derivative of o**9/241920 - o**7/20160 + 3*o**5/20 + 9*o**2. Let n(a) be the third derivative of s(a). Suppose n(k) = 0. Calculate k.
-1, 0, 1
Determine f, given that -2/13*f**4 - 2/13*f**5 + 0*f + 2/13*f**3 + 2/13*f**2 + 0 = 0.
-1, 0, 1
Let z = -1668 + 8366/5. Solve -24/5*y - 2/5*y**4 - 12/5*y**3 - 8/5 - z*y**2 = 0 for y.
-2, -1
Let f(i) be the first derivative of i**6/6 - i**4/4 + 6. Factor f(b).
b**3*(b - 1)*(b + 1)
Let w(n) be the first derivative of -3/4*n**4 + 0*n + 3 - 1/12*n**6 - 2/3*n**3 - 2/5*n**5 - 1/4*n**2. Factor w(d).
-d*(d + 1)**4/2
Let d(j) be the first derivative of 1/14*j**4 - 2/7*j**3 + 2/7*j**2 - 4 + 0*j. Factor d(t).
2*t*(t - 2)*(t - 1)/7
Suppose 0*n = 2*j + 2*n - 6, -2*j - 5*n + 9 = 0. Determine c, given that 0*c + 2 - 3*c - c**2 + j*c = 0.
-2, 1
Let k(g) be the third derivative of g**8/168 + 4*g**7/105 - g**6/30 - 2*g**5/5 + 3*g**4/4 - 5*g**2. Factor k(c).
2*c*(c - 1)**2*(c + 3)**2
Let k(t) be the third derivative of 0*t**3 + 0*t + 1/75*t**5 + 1/60*t**4 - t**2 + 0 + 1/300*t**6. Factor k(i).
2*i*(i + 1)**2/5
Let m(b) be the third derivative of -3*b**7/385 - b**6/110 - b**5/330 - 8*b**2. Let m(y) = 0. Calculate y.
-1/3, 0
Find k such that -2/5*k**4 + 0*k + 1/5*k**3 + 0*k**2 + 0 = 0.
0, 1/2
Let z be (39/15 - 3) + 1. Solve 0*o - 3/5*o**3 + 0 - z*o**4 + 0*o**2 = 0 for o.
-1, 0
Let g be -1 + -1 - ((-1288)/210 - -4). Factor 0*l + 0 - g*l**3 - 2/15*l**2 + 2/15*l**4 + 2/15*l**5.
2*l**2*(l - 1)*(l + 1)**2/15
Let c(m) be the third derivative of m**6/180 - m**4/12 + 2*m**3/9 - m**2. Factor c(w).
2*(w - 1)**2*(w + 2)/3
Let b = 161/190 - 17/38. Let 4/5*j**4 - 2/5*j - 6/5*j**2 + b*j**3 + 2/5 = 0. Calculate j.
-1, 1/2, 1
Let z(q) = q**3 - 17*q**2 + 17*q - 16. Let y be z(16). Factor -1/3*l**4 + 1/3 - 2/3*l + 2/3*l**3 + y*l**2.
-(l - 1)**3*(l + 1)/3
Let b(a) be the first derivative of -6*a**3 - 9/10*a**6 - 27/10*a**2 - 3/5*a - 69/10*a**4 - 1 - 99/25*a**5. Factor b(q).
-3*(q + 1)**3*(3*q + 1)**2/5
Let g = 20 + -5. Suppose 5*d = g - 0. Find m such that -1/4*m + 1/2*m**4 - 1/2*m**2 + 1/4*m**5 + 0*m**d + 0 = 0.
-1, 0, 1
Let j(w) be the first derivative of 25*w**4/4 + 10*w**3/3 - 25*w**2/2 - 10*w - 38. Factor j(z).
5*(z - 1)*(z + 1)*(5*z + 2)
Suppose -5*o - 38 = -5*m + 12, -29 = -3*m + 2*o. Factor -10*i**2 + 2 + 6*i + 0 + 3*i**3 - m*i**3 + 8*i**4.
2*(i - 1)**2*(i + 1)*(4*i + 1)
Let p(f) be the second derivative of 0*f**4 + 3*f + 0 - 1/50*f**5 + 0*f**2 + 0*f**3. Suppose p(n) = 0. Calculate n.
0
Let t(a) = 2*a**5 - 10*a**4 + 10*a**3 - 6*a**2 + 2. Let k(x) = -2*x - x**3 + x + x**2 + 0*x**3 + 0*x**2 + 1 - x**4. Let c(z) = -2*k(z) + t(z). Factor c(r).
2*r*(r - 1)**4
Let v = 201 + -2209/11. Factor 0*j - v*j**2 + 2/11.
-2*(j - 1)*(j + 1)/11
Solve 2/9*h**4 - 2/9*h**5 + 4/9*h**3 - 4/9*h**2 + 2/9 - 2/9*h = 0 for h.
-1, 1
Let i be -3 + (-21)/6*-2. Factor -4*j + 4*j + 0*j + 2*j + 2*j**3 + i*j**2.
2*j*(j + 1)**2
Let f = 182 + -907/5. Let u = f + 1/15. Factor 0 - 4/3*d - u*d**2.
-2*d*(d + 2)/3
Let b(t) = -3*t + 1. Let j be b(1). Let l be (-99)/(-15) - j/5. Factor v**4 + l*v**2 - 7*v**2 + v**5.
v**4*(v + 1)
Let h(i) be the third derivative of i**6/180 - i**5/45 - 2*i**4/9 - i**2 - 11. Factor h(t).
2*t*(t - 4)*(t + 2)/3
Let s be (4/(-8))/((-2)/4). Let p(j) = 2*j**3 + j - 1. Let q be p(s). Solve 21*n**4 + 48*n**3 + 33*n**q + 3*n + 3*n + 0*n = 0.
-1, -2/7, 0
Let n(x) be the second derivative of 1/255*x**6 + 0*x**5 + 0*x**3 - 6*x - 1/102*x**4 + 0*x**2 + 0. Factor n(o).
2*o**2*(o - 1)*(o + 1)/17
Let l(j) be the second derivative of j**8/33600 - j**6/3600 - 5*j**4/6 - 6*j. Let q(g) be the third derivative of l(g). Factor q(d).
d*(d - 1)*(d + 1)/5
Suppose -4*r = -9 + 1. Let a(h) be the second derivative of 1/12*h**3 - 1/24*h**4 + 0*h**r + 0 - h. Determine d, given that a(d) = 0.
0, 1
Find t, given that 2*t**4 + 122*t - 122*t - 4*t**3 = 0.
0, 2
Let c(a) be the first derivative of 1/18*a**6 - 1/6*a**4 - 1 - 2/15*a**5 + 4/9*a**3 + 1/6*a**2 - 2/3*a. Find r such that c(r) = 0.
-1, 1, 2
Let g(f) be the third derivative of f**5/270 + f**4/54 + f**3/27 - 12*f**2. Factor g(n).
2*(n + 1)**2/9
Suppose 0 = 11*j - 7*j + 4. Let x be j/6*16/(-12). Suppose -x*u**3 + 0 + 2/3*u**4 + 2/9*u - 2/3*u**2 = 0. Calculate u.
-1, 0, 1/3, 1
Suppose -3/2*x**3 - 6*x**2 + 0 + 18*x = 0. What is x?
-6, 0, 2
Let k(s) be the third derivative of 1/420*s**7 + 0*s**3 + 0*s + 0 - 1/240*s**6 + 0*s**4 + s**2 + 0*s**5. Let k(g) = 0. What is g?
0, 1
Suppose 0 = b - 2*b + 16. Suppose 3*l = -2*f + b + 5, 4*l = 3*f + 11. Factor -4*r**4 - f*r + 5*r**2 + 4*r - r**5 + 2*r**4 - 3*r**2.
-r*(r - 1)*(r + 1)**3
Let a be -3 + ((-42)/(-5))/2. Factor 2/5*o**2 + 0 - a*o.
2*o*(o - 3)/5
Let -1/6*y**3 + 1/6*y**4 - 1/6*y**2 + 0 + 0*y + 1/6*y**5 = 0. What is y?
-1, 0, 1
Let b(y) be the first derivative of -3/2*y**2 - 3 + 1/16*y**4 - 1/8*y**3 - 1/80*y**5 + 0*y. Let s(r) be the second derivative of b(r). Factor s(k).
-3*(k - 1)**2/