, -1/2, 1
Factor -2*h**2 - h**2 - 2*h**3 + 2*h**4 + 2*h**5 + h**2 + 0*h**5.
2*h**2*(h - 1)*(h + 1)**2
Suppose 4*p - 28 = -0*p. Let g = -5 + p. What is a in 4/11*a - 2/11 - 2/11*a**g = 0?
1
Let a(b) be the first derivative of 5*b**3/2 + 21*b**2/4 + 3*b + 18. Factor a(j).
3*(j + 1)*(5*j + 2)/2
Let h(i) be the second derivative of i**5/50 + i**4/10 + 2*i**3/15 - 19*i. Let h(n) = 0. What is n?
-2, -1, 0
Let c(p) be the third derivative of p**7/525 + p**6/150 + p**5/150 + 3*p**2. Factor c(q).
2*q**2*(q + 1)**2/5
Suppose 0 + 3 = v. Factor -6*c**v + 8*c**3 - 3*c**3.
-c**3
Let i(b) be the third derivative of b**11/332640 - b**9/30240 + b**7/5040 + b**5/20 - b**2. Let r(p) be the third derivative of i(p). Solve r(a) = 0.
-1, 0, 1
Let a(x) = x**3 + x. Let n(j) = -3*j**3 - j**2 - 6*j. Let h(d) = -4*a(d) - n(d). Find b such that h(b) = 0.
-1, 0, 2
Let f = 31/162 - 2/81. Determine z, given that 1/6*z**2 - f*z + 0 = 0.
0, 1
Suppose 0*t**4 + 0*t**2 + 0*t + 1/4*t**5 + 0*t**3 + 0 = 0. What is t?
0
Let q be ((-8)/12*1)/(2*-1). Let x(s) be the second derivative of 3*s + 0 + 0*s**2 + q*s**3 - 1/10*s**5 + 0*s**4. Determine y, given that x(y) = 0.
-1, 0, 1
Let n(x) be the first derivative of -1 + 0*x**4 + 0*x**3 + 1/150*x**5 + 0*x + 1/300*x**6 - x**2. Let g(k) be the second derivative of n(k). Factor g(o).
2*o**2*(o + 1)/5
Let g(t) be the first derivative of t**5/10 + t**4/6 - t**3/3 - t**2 + 3*t - 3. Let x(v) be the first derivative of g(v). Factor x(s).
2*(s - 1)*(s + 1)**2
Let y = 12/11 - 38/55. Let d be (0 + -1)/((-10)/8). Factor 0*q**3 - 2/5*q + y*q**5 + 4/5*q**2 - d*q**4 + 0.
2*q*(q - 1)**3*(q + 1)/5
Let x(r) be the third derivative of r**2 + 1/210*r**5 + 1/21*r**3 + 1/42*r**4 + 0 + 0*r. Let x(n) = 0. What is n?
-1
Let g = 39/35 + -5/7. Let 0 - g*d**2 - 4/5*d = 0. What is d?
-2, 0
Let t be (3 - 0) + -4 + 13. Factor 0*v**3 - 4*v + v**3 + t*v**2 - 6*v**3.
-v*(v - 2)*(5*v - 2)
Let i = 383/2 - 217. Let z = i + 26. Determine w, given that 0 + 0*w - 1/2*w**4 + z*w**2 + 0*w**3 = 0.
-1, 0, 1
Let q(p) be the first derivative of -4*p**3 + 3*p**3 - 3*p + 2 - 5 + 3*p**2. Factor q(i).
-3*(i - 1)**2
Let b(o) be the second derivative of -o**4/60 - o**3/15 + 3*o**2/10 - 2*o. Solve b(k) = 0.
-3, 1
Let t(h) be the first derivative of -h**3/6 + 3*h**2/4 - 18. Determine r so that t(r) = 0.
0, 3
Let a(u) be the third derivative of -u**7/105 - u**6/30 + 2*u**5/15 + 2*u**4/3 - 5*u**2 + 2. Factor a(h).
-2*h*(h - 2)*(h + 2)**2
Let p(b) be the second derivative of -b**8/3780 + b**7/1260 - b**5/540 - b**3/2 + 4*b. Let l(k) be the second derivative of p(k). Factor l(u).
-2*u*(u - 1)**2*(2*u + 1)/9
Suppose -m = -5*h + 3, m + m - 2 = 2*h. Let j be m + (0/1)/3. Factor -6*c**j + 2*c**3 + 4 + c**2 - 2*c + c**2.
2*(c - 2)*(c - 1)*(c + 1)
Let w be (-4)/(-6) + (-14)/(-6). Factor 0*m**4 + w*m**3 - m**4 - 6*m**2 + m + 3*m**2.
-m*(m - 1)**3
Let p be (-42)/(-8) + 13/(-52). Suppose 2*h - 3 = p. What is k in k**h + 0*k - 4/3*k**3 + 1/3*k**2 + 0 = 0?
0, 1/3, 1
Factor -25/4*b**3 - 5/4*b**2 + 4*b - 1.
-(b + 1)*(5*b - 2)**2/4
Factor 1/6 + 1/6*w**2 + 1/3*w.
(w + 1)**2/6
Let i = 19 - 12. Suppose -5*a**3 + 0*a**3 - 15*a**2 - 3*a**4 - 6*a - i*a**3 = 0. What is a?
-2, -1, 0
Let v(a) be the third derivative of -a**7/70 - a**6/20 - a**5/20 + 4*a**2. Factor v(u).
-3*u**2*(u + 1)**2
Let f(d) be the second derivative of d**6/255 - 3*d**5/85 + 3*d**4/34 - 4*d**3/51 - 7*d. Factor f(q).
2*q*(q - 4)*(q - 1)**2/17
Suppose 2*z = 5 + 1. Let a(m) = m**2 - 5*m + 6. Let i be a(4). Factor 2/11*h**5 + 0 + 0*h**i + 0*h + 0*h**4 - 2/11*h**z.
2*h**3*(h - 1)*(h + 1)/11
Let l be 96/14 - 7/(-49). Let s be (4/10)/(l/35). Suppose 16/5*z - 2*z**s + 2/5*z**3 - 8/5 = 0. What is z?
1, 2
Suppose 2*i + 5*a - 4*a - 2 = 0, 3*i = a + 8. Factor 0*o + 1/4*o**3 + 0 - 1/4*o**i.
o**2*(o - 1)/4
Let p(c) be the first derivative of -c**3/18 - c**2/12 + c/3 - 15. Let p(i) = 0. Calculate i.
-2, 1
Let h be 2/11 + (-32)/(-66). Let -4/3 + h*v**2 + 2/3*v = 0. Calculate v.
-2, 1
Let 3/7*c**4 + 12/7*c**2 + 18/7*c**3 - 15/7 - 18/7*c = 0. What is c?
-5, -1, 1
Let w(c) be the first derivative of c**4/6 + 8*c**3/9 + 4*c**2/3 - 5. Factor w(m).
2*m*(m + 2)**2/3
Let r(a) be the first derivative of 2/33*a**3 - 2/11*a - 2/11*a**2 + 1/11*a**4 - 1. Factor r(y).
2*(y - 1)*(y + 1)*(2*y + 1)/11
Let n(g) be the first derivative of -2*g**5/55 + 6*g**3/11 - 4*g**2/11 - 24*g/11 + 4. Determine v, given that n(v) = 0.
-3, -1, 2
Factor 1/6*h**2 + 49/6 + 7/3*h.
(h + 7)**2/6
Suppose 17 = 3*d + q, -9 = -d - 2*d + 3*q. Factor 2*h**3 - 1 + h**4 + 1 + 1 - h**d - 2*h**2 - h.
-(h - 1)**3*(h + 1)**2
Let h be -4 - (1 + (-332)/66). Let r(n) be the second derivative of 0*n**2 + 0*n**5 + 2/165*n**6 + 0 + h*n**3 - 1/33*n**4 + 2*n - 1/231*n**7. Factor r(d).
-2*d*(d - 1)**3*(d + 1)/11
Factor 0 + 2*v**2 + 1/2*v**3 + 2*v.
v*(v + 2)**2/2
Let i(f) be the second derivative of -f**7/6300 + f**6/900 - f**5/300 - f**4/4 - f. Let j(n) be the third derivative of i(n). Factor j(c).
-2*(c - 1)**2/5
Factor 0 + 3/4*w**4 + 0*w + 1/2*w**3 - 1/4*w**2.
w**2*(w + 1)*(3*w - 1)/4
Let x(q) be the second derivative of -q**7/180 - q**6/180 + q**4/4 + 5*q. Let l(m) be the third derivative of x(m). Factor l(v).
-2*v*(7*v + 2)
Let l = -33 + -2. Let r be (-21)/l*2/3. Factor r*n**2 - 2/5*n + 0.
2*n*(n - 1)/5
Let x(u) = 2*u**5 - u**4 + 3*u**3 - 2*u**2 + u. Let g(q) = q**5 + 2*q**3 - 2*q**2 + q. Let r(k) = -3*g(k) + 2*x(k). Factor r(n).
n*(n - 1)**3*(n + 1)
Suppose 0 = 3*i + 9. Let n = i + 5. Factor -4*u**5 + 6*u**2 - 2*u**4 - 4*u**n + 3*u**5 + u.
-u*(u - 1)*(u + 1)**3
Suppose 8 = y + 2*g, 2*y + 3*g + 23 = 3*y. Let u be 2/4 + (-3)/y. Factor -8/7*c - 8/7 - u*c**2.
-2*(c + 2)**2/7
Let t(q) = 13*q**3 - q**2 + q + 1. Let o(v) = -6*v**3. Let m(p) = 7*o(p) + 3*t(p). Factor m(r).
-3*(r - 1)*(r + 1)**2
Let u(j) be the third derivative of j**5/240 + j**4/96 - j**3/12 + 49*j**2. Determine x so that u(x) = 0.
-2, 1
Let n(a) be the third derivative of a**7/210 + a**6/60 - a**5/60 - a**4/12 - 18*a**2. Let n(u) = 0. Calculate u.
-2, -1, 0, 1
Let -7/9*q - 1/9*q**2 + 17/9*q**3 - 10/9*q**5 + 2/9 - 1/9*q**4 = 0. What is q?
-1, 2/5, 1/2, 1
Let l be (-3)/1 - (9 + -12). Factor 1/4*o**2 - 1/4*o**4 + l - 1/4*o + 1/4*o**3.
-o*(o - 1)**2*(o + 1)/4
Let n = -160 + 103. Let t = 517/9 + n. Find f, given that -2/9 + t*f - 2/9*f**2 = 0.
1
Find u such that 0 - 2*u + 2/3*u**2 = 0.
0, 3
Let j(x) be the second derivative of 0 - 1/4*x**4 - 3*x**2 - 3*x + 3/2*x**3. Determine d so that j(d) = 0.
1, 2
Let s(k) = k**2 + 2*k + 4. Let x(p) = p**2 + 3*p + 7. Let t(g) = 5*s(g) - 3*x(g). Let q be t(1). Factor 0 + 1/2*o**3 - 1/2*o**q + 0*o.
o**2*(o - 1)/2
Let u(k) be the third derivative of -1/60*k**5 - 1/8*k**4 + 0 + 0*k - 2*k**2 - 1/3*k**3. Let u(c) = 0. Calculate c.
-2, -1
Let i be 6 + 0 + (-8)/2. Solve -2*f + 3*f**i - 2 - 7*f + 8*f = 0.
-2/3, 1
Let l be 488/32 - 2/8. Let g be l/(-6)*(-1)/5. What is y in 0 - g*y**2 - 1/2*y = 0?
-1, 0
Let f(l) be the third derivative of l**8/21 + 2*l**7/15 - l**6/15 - 8*l**5/15 - l**4/3 + 2*l**3/3 - 43*l**2. Let f(v) = 0. Calculate v.
-1, 1/4, 1
Let d = 12721/471 - 5858854/213363. Let k = -1/151 - d. Let 0*v**2 + 2/9*v**4 - 4/9*v**3 + k*v - 2/9 = 0. What is v?
-1, 1
Factor 2/3*q**3 - 2/3*q**2 - 2/3*q**5 + 0 + 0*q + 2/3*q**4.
-2*q**2*(q - 1)**2*(q + 1)/3
Let r(u) be the third derivative of -u**9/2016 - u**8/2240 - u**3/2 + u**2. Let t(o) be the first derivative of r(o). Factor t(i).
-3*i**4*(2*i + 1)/4
Factor -6/5*s + 9/5*s**2 - 3/5*s**3 + 0.
-3*s*(s - 2)*(s - 1)/5
Let t be 12/(-27) - (-186)/54. Solve 2/11*l**4 + 6/11*l**t - 2/11*l**2 + 0 - 6/11*l = 0 for l.
-3, -1, 0, 1
Let a be 21 - (2 + (-1 - -1)). Suppose -x - a = -3*q, 4*q = 2*x - 4*x + 12. Solve w**4 + w**4 + q*w**3 - 4*w - w**3 - 2 = 0 for w.
-1, 1
Let g(i) be the first derivative of i**4/8 + i**3/6 + 3. Suppose g(w) = 0. What is w?
-1, 0
Let g be (-2 + -2 + 4)/(-2). Factor g*p - 2/5*p**3 + 3/5*p**2 - 1/5.
-(p - 1)**2*(2*p + 1)/5
Let g(k) be the second derivative of 0*k**2 + 3*k + 0*k**3 + 0 + 1/3*k**4 - 1/10*k**5. Solve g(b) = 0.
0, 2
Let z(j) be the first derivative of j**5/60 + j**4/36 - 6*j + 1. Let h(q) be the first derivative of z(q). Solve h(r) = 0 for r.
-1, 0
Let w(c) = -5*c**3 - 8*c - 4. Suppose 0 = 5*m - 0 - 5. Let l(f) = f**3 - f**2 + f + 1. Let q(i) = m*w(i) + 