1/3, 0
Let n(y) be the second derivative of -y + 7/2*y**3 + 1/5*y**6 - 2*y**4 + 3/10*y**5 - 3*y**2 - 1/14*y**7 + 0. Factor n(x).
-3*(x - 1)**4*(x + 2)
Let o(s) be the first derivative of -1 + 4*s**2 + 8*s + 2/3*s**3. Suppose o(z) = 0. Calculate z.
-2
Suppose 13*k - 8*k = 0. Let -2/5*g**2 - 2/5*g + k = 0. What is g?
-1, 0
Let p = -5 - -29/5. Let x be (-2)/6*30/(-25). Find d, given that -x*d + p*d**2 + 0 = 0.
0, 1/2
Find i such that 1/9*i**4 - 1/9*i - 1/3*i**3 + 1/3*i**2 + 0 = 0.
0, 1
Let w(b) = 3*b + 1 - 6 - 4*b. Let k be w(-5). Determine f, given that f**4 + k*f**2 + 2*f**2 + 2*f**3 - f**2 = 0.
-1, 0
Let b(v) be the third derivative of v**8/42 - v**6/20 + v**5/30 + 2*v**2 + 6. Factor b(x).
2*x**2*(x + 1)*(2*x - 1)**2
Let g(v) be the third derivative of v**8/112 - v**7/21 + 7*v**6/90 - 2*v**5/45 - 7*v**2. Find x such that g(x) = 0.
0, 2/3, 2
Let v(m) be the second derivative of -m**6/10 + 3*m**5/20 + 3*m**4/4 - m**3/2 - 3*m**2 - 2*m - 9. Factor v(f).
-3*(f - 2)*(f - 1)*(f + 1)**2
Let w(j) = -2*j**3 - 2*j**2 + 8*j + 4. Let a(b) = -b**3 + b**2 + b + 1. Let m(f) = 4*a(f) - w(f). Factor m(c).
-2*c*(c - 2)*(c - 1)
Let k(b) be the first derivative of b**6/480 + b**5/48 + b**4/32 - 3*b**3/8 + b**2 + 2. Let s(x) be the second derivative of k(x). Factor s(a).
(a - 1)*(a + 3)**2/4
Let i = -51/5 + 49/20. Let b = i + 159/20. Factor 0*g - 1/5 + b*g**2.
(g - 1)*(g + 1)/5
Suppose -2*h = -q - 11, 2*q + 0*q + 4*h - 18 = 0. Let p be 3 + ((-6)/3 - q). Factor -2*g**3 + 6*g + 2 + g**5 - 3*g**5 + 4*g**2 - 6*g**4 - p*g**3.
-2*(g - 1)*(g + 1)**4
Let d = -8 - -3. Let i(b) = -b**3 - 5*b**2 - b - 1. Let w be i(d). Factor -m**w + m**4 - m**4 + 2*m**3 - m**3.
-m**3*(m - 1)
Let s(z) be the second derivative of -z**4/6 + 28*z. Find o, given that s(o) = 0.
0
Find n, given that -9*n**2 + 6*n**2 - 4*n - n - 7*n = 0.
-4, 0
Let l be (27/54)/((-1)/(-9)). Factor -6 - l*b**2 + 3/4*b**3 + 9*b.
3*(b - 2)**3/4
Solve -6*b**3 + 45*b**4 - 2*b - 24*b**4 + 2*b**5 + 7*b**2 - 22*b**4 = 0 for b.
-2, 0, 1/2, 1
Let k(v) be the second derivative of 0*v**2 - 4*v - 1/2*v**4 + 0*v**3 + 0 - 3/4*v**5. Find q such that k(q) = 0.
-2/5, 0
Let b be (-2)/(-25) + (-21915)/(-2625) + -8. Factor 0*s + 4/7 + 1/7*s**3 - b*s**2.
(s - 2)**2*(s + 1)/7
Let n(x) be the second derivative of -2*x + 0*x**2 - 3/50*x**5 - 1/15*x**4 + 0 + 1/15*x**3. Factor n(i).
-2*i*(i + 1)*(3*i - 1)/5
Let c = -74 + 80. Let h(z) be the second derivative of -1/15*z**c - 1/2*z**2 - 3/4*z**4 - 3*z - 7/20*z**5 - 5/6*z**3 + 0. Factor h(y).
-(y + 1)**3*(2*y + 1)
Let b = -9/302 + 125/24462. Let c = b - -85/162. Factor -1/2*s**2 - c*s + 0.
-s*(s + 1)/2
Suppose -p - 3 = -5. Let m = 16 + -10. Suppose q**5 + q**5 + m*q**4 + 4*q**3 - 2 - 4*q**p - 6*q + 0 = 0. What is q?
-1, 1
Suppose 74*n = 77*n. Find l such that n*l + 0 - 1/5*l**3 - 1/5*l**2 = 0.
-1, 0
Let u be (-1)/(-8) - (-13)/24. What is y in 0*y**3 + 0 + 0*y + 0*y**2 - u*y**4 = 0?
0
Let j(m) be the third derivative of m**6/300 - m**4/60 - 13*m**2. Let j(a) = 0. What is a?
-1, 0, 1
Let q(n) be the third derivative of -1/12*n**6 + 2/105*n**7 + 1/12*n**4 + 0 - n**2 + 1/10*n**5 + 0*n - 1/3*n**3. Solve q(v) = 0 for v.
-1/2, 1
Let l(f) = -3*f**5 + 9*f**4 - 18*f**3 + 3*f**2 + 9*f. Let q(r) = -r**3 + r. Let h(z) = l(z) - 9*q(z). Factor h(d).
-3*d**2*(d - 1)**3
Let j = -445 - -247. Let i = 994/5 + j. Factor i*k + 2/5 + 2/5*k**2.
2*(k + 1)**2/5
Suppose 4*z - 5*t + 86 = 2, -5*t = -2*z - 42. Let s(x) = -7*x**2 + x. Let k(n) = 36*n**2 - 6*n. Let r(p) = z*s(p) - 4*k(p). Factor r(u).
3*u*(u + 1)
Let o(v) = v**2. Let f(s) = s**4 - 2*s. Let z(q) = -f(q) + 3*o(q). Find t such that z(t) = 0.
-1, 0, 2
Let w(s) = -4*s**5 + 2*s**3 + 3*s**2 - 4*s. Let v(u) = 11*u**5 - 6*u**3 - 8*u**2 + 11*u. Let h(l) = 3*v(l) + 8*w(l). Find n such that h(n) = 0.
-1, 0, 1
Let v(d) be the third derivative of d**8/336 - d**7/35 + 7*d**6/60 - 4*d**5/15 + 3*d**4/8 - d**3/3 + 10*d**2. Let v(f) = 0. Calculate f.
1, 2
Let t(y) be the second derivative of y**7/210 + y**6/150 - y**5/50 - y**4/30 + y**3/30 + y**2/10 + y. Determine o so that t(o) = 0.
-1, 1
Let p(q) be the first derivative of 5*q**3/3 - 5*q + 1. Factor p(f).
5*(f - 1)*(f + 1)
Find d, given that 264*d**2 - 524*d**2 + 255*d**2 + 5*d = 0.
0, 1
Suppose -2*g - 32 = -4*a - 10, -4*g - 35 = -5*a. Let r(h) be the first derivative of 2/21*h**3 - a + 0*h + 1/7*h**2. Factor r(z).
2*z*(z + 1)/7
Factor 0 + 1/2*b - 1/4*b**2.
-b*(b - 2)/4
Suppose 1 = -2*r - n + 6, 5*n = 5. Suppose -4 = -4*z + r*z. Let -2/3*q**4 + 4/9*q**3 + 8/9*q**z - 4/9*q - 2/9 = 0. What is q?
-1, -1/3, 1
Let b = 279/368 - 9/46. Let w = b - -5/48. Factor -2/3*t**3 + 0 - w*t + 4/3*t**2.
-2*t*(t - 1)**2/3
Let y be -1*4/22 + (-186)/(-660). Let i(g) be the second derivative of 0*g**2 - 1/3*g**3 - 3*g + 1/6*g**4 + y*g**5 + 0 - 1/15*g**6. What is x in i(x) = 0?
-1, 0, 1
Factor -16 - 12*q**3 + 3*q**3 + q**3 + 26*q**2 + q**4 - 11*q**2 + 8*q.
(q - 4)**2*(q - 1)*(q + 1)
Let n be (-6)/(-16) + 20/(-480). Let k(h) be the second derivative of -n*h**4 + 0 - 4*h + 1/6*h**3 + h**2 + 1/15*h**6 + 1/42*h**7 - 1/10*h**5. Factor k(u).
(u - 1)**2*(u + 1)**2*(u + 2)
Let h(r) be the third derivative of r**7/1680 - r**5/240 + r**3/6 + 4*r**2. Let t(b) be the first derivative of h(b). Solve t(p) = 0 for p.
-1, 0, 1
Let p(z) be the second derivative of -8*z**7/105 + 4*z**6/75 + 39*z**5/100 + 17*z**4/60 + z**3/15 - 8*z. Let p(g) = 0. Calculate g.
-1, -1/4, 0, 2
Let k(g) be the second derivative of g**9/25200 + 3*g**8/11200 + g**7/1400 + g**6/1200 - g**4/12 + 4*g. Let o(d) be the third derivative of k(d). Factor o(s).
3*s*(s + 1)**3/5
Suppose 19 = 4*w + 2*g - 19, 0 = -w + 2*g - 3. Let 10*j**3 + w*j**2 + 4 - 24*j**3 + 18*j**2 + 7*j**2 - 22*j = 0. What is j?
2/7, 1
Let v be (-1)/(-5) - (-2682)/30. Let p = -89 + v. Suppose 18/5*m**3 + 12/5*m**2 + 0 + 3/5*m**5 + 12/5*m**4 + p*m = 0. What is m?
-1, 0
Let l = -27 - -31. Let o(m) be the second derivative of -1/3*m**2 - 1/36*m**l + 1/6*m**3 - m + 0. Solve o(i) = 0.
1, 2
Let a be 33/(-240) + 2/10. Let p(w) be the second derivative of 0*w**2 + 0 - 1/8*w**3 - 3*w - a*w**4. Find y, given that p(y) = 0.
-1, 0
Suppose 6 = t - 4*t. Let h(v) = -v**3 - 3*v**2 - 3*v. Let f be h(t). Factor 0 + 0*d - 1/4*d**4 - 1/4*d**f - 1/2*d**3.
-d**2*(d + 1)**2/4
Factor -1/2*f - 3/5 - 1/10*f**2.
-(f + 2)*(f + 3)/10
Let y(z) be the second derivative of -z**5/20 - z**4/12 - z**2/2 + 3*z. Let g(c) = 2*c**4 - 8*c**3 - 10*c**2 - 10. Let v(p) = -g(p) + 10*y(p). Factor v(n).
-2*n**3*(n + 1)
Factor 2*g**4 - 7 + 6*g**3 + 4 + 3 + 4*g**2.
2*g**2*(g + 1)*(g + 2)
Let w be ((-3)/(-6) - 0)*4. Suppose -5*q + w = -18. Factor l**2 - 3*l**3 + 4*l**3 - l + l**q - 2*l**4.
-l*(l - 1)**2*(l + 1)
Let m(a) = -3*a**5 + 6*a**4 + 3*a**3 + 3*a**2 + 3*a + 3. Let q(y) = 2*y**2 + y**3 - y**2 + 14*y + y**4 + 1 - 13*y. Let r(h) = -m(h) + 3*q(h). Factor r(f).
3*f**4*(f - 1)
Factor 2/5*m**4 - 1/5*m**3 + 0 + 0*m - 2/5*m**2 + 1/5*m**5.
m**2*(m - 1)*(m + 1)*(m + 2)/5
Let x = -374 + 1132/3. Let k = -2/9 - -8/9. Find l such that 8/3*l**2 + k + x*l = 0.
-1, -1/4
Suppose -5 = -p + 2. Let n be p/2*8/14. Factor -4/3 - 1/3*s**n + 4/3*s.
-(s - 2)**2/3
Let s(f) = f + 2. Let h be s(-4). Let r(l) = -l**2 - l. Let w(o) = -6*o. Let z(u) = h*r(u) + w(u). Factor z(d).
2*d*(d - 2)
Factor -g**3 + 3*g**3 - 44*g**2 + 35*g**3 - 13*g**3 + 24*g - 4*g**4.
-4*g*(g - 3)*(g - 2)*(g - 1)
Let j be 6/(-3) - (-681)/27. Let f = j - 23. Solve 0 - 2/9*i**2 + f*i = 0.
0, 1
Suppose -3*o + 0 + 1/2*o**2 = 0. What is o?
0, 6
Let t(q) be the first derivative of 9*q**6/40 + 9*q**5/20 - q**4/8 - q**3/2 - q**2/2 + 5. Let j(d) be the second derivative of t(d). Factor j(h).
3*(h + 1)*(3*h - 1)*(3*h + 1)
Let z(c) be the third derivative of 7*c**6/360 + c**5/180 + 5*c**2. Factor z(v).
v**2*(7*v + 1)/3
Let v(a) be the second derivative of 5*a + 1/40*a**5 + 0*a**4 + 0*a**2 + 0*a**3 + 1/120*a**6 + 0. Factor v(d).
d**3*(d + 2)/4
Let a(p) = 4*p**3 - 2*p**2 - 2*p + 3. Let t be a(1). Factor 1/4*q**t + 1/2 + 5/4*q + q**2.
(q + 1)**2*(q + 2)/4
Let s be 18/4*(-32)/24. Let r be 21/70*(-16)/s. Let -2/5 + 6/5*g - r*g**2 = 0. What is g?
1/2, 1
Suppose 3 = w - 6. Let h = -5 + w. Solve 6*t + 0*t**4 - 3*t**2 - 4*t - t**2 + 4*t**h - 2*t**5 = 0 for t.
-1, 0, 1
Let m(g) be the first derivative of g**5/150 + g**4/15 + 4*g**3/15 + g**2/2 