4 + h*n**5 + 4*n - 2*n - 4*n**2 - 7*n**5 = 0.
-1, 0, 1
Let j(q) be the third derivative of -q**6/60 + q**5/5 - 3*q**4/4 + 4*q**3/3 + 14*q**2. Suppose j(x) = 0. What is x?
1, 4
Let z(v) be the third derivative of v**8/20160 + v**7/5040 - v**6/360 - v**5/15 + 7*v**2. Let q(o) be the third derivative of z(o). What is j in q(j) = 0?
-2, 1
Let c(z) = 2*z**2 + z + 11. Let s(x) = 5*x**2 + 2*x + 32. Let b(d) = -8*c(d) + 3*s(d). Factor b(g).
-(g - 2)*(g + 4)
Let m(i) be the first derivative of -i**6/24 + i**4/8 - i**2/8 + 18. Factor m(u).
-u*(u - 1)**2*(u + 1)**2/4
Let b = -8/45 + 178/495. Factor 0*z + 0 + 2/11*z**2 + b*z**3.
2*z**2*(z + 1)/11
Let s(y) be the first derivative of y**6/120 + y**5/30 - 2*y**2 - 3. Let u(k) be the second derivative of s(k). Suppose u(p) = 0. Calculate p.
-2, 0
Let y be 39*(-6)/54 - -5. Factor 2/3 + y*o**3 - o - o**2.
(o - 2)*(o + 1)*(2*o - 1)/3
Let t(v) = -23*v**2 - 7*v + 13. Let j(z) = -11*z**2 - 4*z + 6. Let a(h) = -13*j(h) + 6*t(h). Determine p, given that a(p) = 0.
-2, 0
Let a(y) be the third derivative of -y**7/1155 + y**6/330 - y**5/330 + 11*y**2. Determine n so that a(n) = 0.
0, 1
Let n(m) = 3*m**5 + 3*m**4 - m**3 + 5*m**2 + 5*m + 5. Let y(f) = -3*f**5 - 4*f**4 + f**3 - 6*f**2 - 6*f - 6. Let w(j) = -6*n(j) - 5*y(j). What is x in w(x) = 0?
-1/3, 0, 1
Find y such that 8/13 + 18/13*y**2 + 24/13*y = 0.
-2/3
Let l(m) be the third derivative of -5*m**8/84 + 34*m**7/105 - 8*m**6/15 + 4*m**5/15 - 9*m**2. What is a in l(a) = 0?
0, 2/5, 1, 2
Let -4/7*n + 0*n**3 + 2/7*n**4 + 0 - 6/7*n**2 = 0. What is n?
-1, 0, 2
Factor 8/3*l**3 + 4/3*l**4 - 8/3*l**2 + 4/3 - 4/3*l**5 - 4/3*l.
-4*(l - 1)**3*(l + 1)**2/3
Let d be (-1)/(1/(-3)) - -5. Let k be (3/18)/(3/d). Factor k*z + 2/9*z**2 + 0.
2*z*(z + 2)/9
Let 0*p - 4/19*p**3 + 0 + 14/19*p**4 + 8/19*p**5 + 0*p**2 = 0. What is p?
-2, 0, 1/4
Suppose 2*l**2 - 5*l - 4*l + 18*l + 8 - l = 0. Calculate l.
-2
Let j be -3 + 3 + (-2)/(-6). Suppose -j - w - 1/3*w**3 - w**2 = 0. What is w?
-1
Solve 1/5 + 13/5*p**3 + 3*p**2 + 7/5*p + 4/5*p**4 = 0 for p.
-1, -1/4
Let t(h) = -h**2 - 4*h. Let o(w) = -12*w**2 - 44*w. Let k(z) = 3*o(z) - 32*t(z). Factor k(b).
-4*b*(b + 1)
Let k(n) be the second derivative of -n**7/126 + 7*n**6/90 - n**5/6 - n**4/2 + 3*n**3/2 + 9*n**2/2 - 12*n. What is r in k(r) = 0?
-1, 3
Let q(d) be the third derivative of -4*d**2 + 0*d + 0*d**5 - 1/120*d**6 + 0 + 0*d**4 - 1/6*d**3. Let w(k) be the first derivative of q(k). Factor w(m).
-3*m**2
Let t be 4/(-30)*620/128. Let k = -5/16 - t. Factor v**4 - 5/3*v**2 - k*v + 2/3 + 1/3*v**3.
(v - 1)*(v + 1)**2*(3*v - 2)/3
Let x(t) = 3*t**2 - 28*t + 44. Let g(d) = -21*d**2 + 195*d - 306. Let f(a) = -2*g(a) - 15*x(a). Factor f(i).
-3*(i - 8)*(i - 2)
Suppose 2*m - 22 = -4*z, -m + 3*z + 18 = -3. Suppose -2*q - 3*q + m = 0. Factor -6*b**2 + 4*b**q - 3*b - b**3 - 6*b**3.
-3*b*(b + 1)**2
Let x(i) be the first derivative of 2/25*i**5 + 0*i + 1/30*i**6 - 1 - 1/10*i**2 + 0*i**4 - 2/15*i**3. Find h, given that x(h) = 0.
-1, 0, 1
Let a(h) be the third derivative of h**7/3780 + h**6/180 + h**5/20 + h**4/6 - 2*h**2. Let r(d) be the second derivative of a(d). Factor r(i).
2*(i + 3)**2/3
Let o(f) be the third derivative of f**4/24 + 5*f**3/2 + f**2. Let i be o(-13). Factor 12*j + j**2 + 18 - 4*j + 4*j + j**i.
2*(j + 3)**2
Let h(r) = 45*r**3 - 75*r**2 + 35*r - 15. Let s(x) = -1. Let t(d) = -h(d) + 10*s(d). Factor t(y).
-5*(y - 1)*(3*y - 1)**2
Let x(f) be the third derivative of f**6/120 + 11*f**5/240 + 5*f**4/96 - f**3/12 + 6*f**2. Determine n, given that x(n) = 0.
-2, -1, 1/4
Let 1/2*c**4 + 6*c**2 - 3*c**3 - 5*c + 3/2 = 0. Calculate c.
1, 3
Let d be (-11 - -11)/(-3 + 1). Let b(w) be the second derivative of -2*w + 1/12*w**3 + 1/40*w**5 - 1/12*w**4 + d + 0*w**2. Factor b(g).
g*(g - 1)**2/2
Let r(f) = 78*f - 4. Let x be r(4). Let n be 32/x + 2/11. Solve -n*y**4 + 0*y**3 + 0 + 0*y**2 + 2/7*y**5 + 0*y = 0.
0, 1
Let u be (-50)/15*4/(-16). Let v(d) be the first derivative of -1 + u*d**2 + 1/3*d + 1/4*d**4 + 7/9*d**3. Find h such that v(h) = 0.
-1, -1/3
Let a(j) = -j**2 - 4*j + 5. Let t be a(-5). Let i(p) be the first derivative of -3*p + 2 + 26*p**2 - 29*p**2 + t - p**3. Factor i(s).
-3*(s + 1)**2
Let u(y) = y**2 + 10*y + 8. Let v be u(-9). Let a(o) = -2*o**3 + o**2 - 1. Let n be a(v). Factor -4/5 + 14/5*x - 6/5*x**3 - 4/5*x**n.
-2*(x - 1)*(x + 2)*(3*x - 1)/5
Factor 2*s**4 + 6*s**3 + 0*s**3 - 2*s**3.
2*s**3*(s + 2)
Let u(x) be the second derivative of x**4/12 + x**3/6 + x**2 - 3*x. Let m be u(0). Factor -j**3 - j**m - 4*j + 3*j + 2*j**3 - j**4 + 2*j**2.
-j*(j - 1)**2*(j + 1)
Let j = 86 + -82. Factor -2/9*t + 4/9*t**3 + 0 + 0*t**2 + 0*t**j - 2/9*t**5.
-2*t*(t - 1)**2*(t + 1)**2/9
Let f be 768/(-35)*(-1)/3. Let r = 54/7 - f. Factor -r*l**3 + 0 + 2/5*l + 1/5*l**2 - 1/5*l**4.
-l*(l - 1)*(l + 1)*(l + 2)/5
Let n(i) = -i**3 - 5*i**2 + 2*i. Let t(s) = -s**3. Let u(x) = -n(x) + 3*t(x). What is v in u(v) = 0?
0, 1/2, 2
Let v(i) be the third derivative of 0*i**4 + 0*i**3 + 1/210*i**5 + 0 + 1/420*i**6 + 0*i - 4*i**2. Solve v(t) = 0.
-1, 0
Suppose -f + 2*h = -47, 10 - 127 = -3*f - 2*h. Factor f*d - d**2 - 41*d.
-d**2
Let y(w) be the third derivative of w**7/10080 + 3*w**4/8 + 6*w**2. Let x(t) be the second derivative of y(t). Factor x(a).
a**2/4
Let d(m) be the second derivative of -7*m**6/60 - m**5/20 + 7*m**4/24 + m**3/6 - 2*m. Factor d(j).
-j*(j - 1)*(j + 1)*(7*j + 2)/2
Suppose 3*g = -0*g - 27. Let h be -3 - g/6*2. Factor h + 1/5*q**2 - 1/5*q**4 + 1/5*q**3 - 1/5*q.
-q*(q - 1)**2*(q + 1)/5
Let d(x) be the first derivative of -x**6/6 + x**5 - 2*x**4 + 4*x**3/3 + 3. Suppose d(f) = 0. Calculate f.
0, 1, 2
Let q(k) be the third derivative of k**5/15 - 6*k**3 + 56*k**2. Factor q(h).
4*(h - 3)*(h + 3)
Factor 0 - 74*m + 70*m - 2*m**2 - 2.
-2*(m + 1)**2
Suppose 7*c + 1/2*c**2 + 49/2 = 0. What is c?
-7
Let h(s) = -2*s**2 + 2*s + 4. Let w(b) = -b - 1. Let j = -3 + 2. Let r(l) = j*h(l) - 2*w(l). Let r(x) = 0. What is x?
-1, 1
Let i = 24/173 + 274/519. Find s such that -11/6*s**3 - 2*s**4 + 0 + i*s + 7/6*s**5 + 2*s**2 = 0.
-1, -2/7, 0, 1, 2
Let w(r) = r**2 + 6*r - 8. Let d be w(-8). Suppose d*i = 4*i. Find l such that 0 + 6/7*l**5 + 8/7*l**4 - 8/7*l**3 + 0*l**2 + i*l = 0.
-2, 0, 2/3
Let h(z) = -z**2 + z + 5. Let r be h(0). Let t = r + -5. Solve t*l - 1/4*l**2 + 0 + l**4 + 3/4*l**3 = 0 for l.
-1, 0, 1/4
Let q(o) be the second derivative of 7*o**6/75 + 8*o**5/25 - o**4/10 - 16*o**3/15 - 4*o**2/5 + 10*o. Solve q(z) = 0 for z.
-2, -1, -2/7, 1
Let c(j) be the third derivative of 22/15*j**7 + 0*j**3 + 0*j + 0*j**4 - 7/12*j**8 - 5*j**2 + 0 - 16/15*j**6 + 4/15*j**5. Factor c(v).
-4*v**2*(v - 1)*(7*v - 2)**2
Suppose -4*t = -6 - 10. Factor u**5 - 5*u**4 + 2*u**5 - 3*u**2 + 9*u**3 - 4*u**t.
3*u**2*(u - 1)**3
Suppose 7 = q - 1. Determine t so that -q*t**2 + 0*t**4 + 4*t**4 - 2*t**5 + 2*t**4 = 0.
-1, 0, 2
Suppose 2*b = 4*b - 10. Let -2*c**2 + 18*c**4 - 32*c**b + 30*c**4 - 18*c**3 + 4*c**2 = 0. What is c?
0, 1/4, 1
Let z(t) be the third derivative of -1/32*t**4 + 0 + 0*t + 1/160*t**6 + 1/12*t**3 - 2*t**2 - 1/120*t**5. Factor z(b).
(b - 1)*(b + 1)*(3*b - 2)/4
Let n = 7/18 - -1/9. Let g(i) be the first derivative of 24/25*i**5 + 0*i + 2 - n*i**4 - 4/5*i**2 + 3/5*i**6 - 8/5*i**3. Solve g(y) = 0.
-1, -2/3, 0, 1
Let d(k) be the third derivative of 0*k**3 + 0*k**4 + 1/30*k**5 + 1/12*k**6 + 0 + 2*k**2 + 4/105*k**7 + 0*k. Factor d(b).
2*b**2*(b + 1)*(4*b + 1)
Suppose -4 = -3*m + 5*v, -m - v + 5 = v. Let m*t**4 + t**2 + 6*t + 5*t**2 - 6*t**3 - 3 - 6*t**2 = 0. What is t?
-1, 1
Let -2*o**2 - 1/2*o**3 - 5/2*o - 1 = 0. What is o?
-2, -1
Let l(h) be the second derivative of -h**8/420 + h**6/75 - h**4/30 - 2*h**2 + 7*h. Let s(y) be the first derivative of l(y). Factor s(p).
-4*p*(p - 1)**2*(p + 1)**2/5
Let u(j) be the first derivative of j**4/4 - 2*j**3/3 - j**2/2 + 2*j - 7. Factor u(a).
(a - 2)*(a - 1)*(a + 1)
Let n(p) be the first derivative of 1/12*p**3 - 1/4*p**2 + 4 + 1/4*p. Factor n(w).
(w - 1)**2/4
Let i = 107/24 - 29/8. Factor 0 + 1/6*p + i*p**2.
p*(5*p + 1)/6
Let q(i) be the first derivative of -3*i**4/28 + 4*i**3/7 + 3*i**2/14 - 12*i/7 + 30. Suppose q(u) = 0. Calculate u.
-1, 1, 4
Factor 0*t + t**3 + 0 + 3/2*t**4 + 1/2*t**5 + 0*t**2.
t**3*(t + 1)*(t + 2)/2
Suppose -8*p - 4 + 20 = 0. Solve 0 - 14/5*n**3 + 