**4 + 0*j**4 - j**5 + 29*j**3 - 34*j**3.
-j**2*(j - 2)*(j - 1)**2
Factor -2/5*q**2 + 0 + 6/5*q.
-2*q*(q - 3)/5
Suppose -3*v + 11 = 2. Suppose 0*h = -5*h + 25. Factor -n**3 - n**h + n**3 + n**v.
-n**3*(n - 1)*(n + 1)
What is n in 2*n**5 + 12*n**3 + 1 + 2*n - 1 + 8*n**2 + n**4 + 7*n**4 = 0?
-1, 0
Let j = -2947157/21 - -140314. Let h = j - -83/3. Factor -2/7*g - 4/7 + h*g**3 + 8/7*g**2.
2*(g + 1)**2*(3*g - 2)/7
Let y(n) be the first derivative of -4 - 1/22*n**4 - 1/11*n**2 + 0*n + 4/33*n**3. Factor y(t).
-2*t*(t - 1)**2/11
Let n = -10 + 7. Let p be (-31)/(-6) - n/(-18). Factor 0*c + 1/5*c**p + 1/5*c**4 + 0 - 1/5*c**2 - 1/5*c**3.
c**2*(c - 1)*(c + 1)**2/5
Let h(n) be the first derivative of n**4/2 - n**2 + 11. Suppose h(a) = 0. What is a?
-1, 0, 1
Let z(d) be the second derivative of d**5/100 + d**4/20 + d**3/15 - 5*d. Factor z(u).
u*(u + 1)*(u + 2)/5
Let g(j) be the second derivative of -j**7/280 - j**6/120 + j**5/40 + j**4/8 + j**3/6 - 6*j. Let v(r) be the second derivative of g(r). Solve v(s) = 0 for s.
-1, 1
Suppose -1 + 0 = -p. Let q(u) be the first derivative of -1/6*u**3 + 0*u - p + 0*u**2 - 1/10*u**5 + 1/4*u**4. Factor q(c).
-c**2*(c - 1)**2/2
Let s = 13/3 + -4. Factor 0*u + 1/3*u**2 - s*u**5 + u**4 + 0 - u**3.
-u**2*(u - 1)**3/3
Let u(d) = d + 13. Let k be u(-9). Suppose k*r - 3*r = 5. Factor 3*o - 2 - 2*o**4 + 8*o**4 + 3*o - 2*o**r - 4*o**2 - 2*o**3 - 2*o**3.
-2*(o - 1)**4*(o + 1)
Let t(w) be the second derivative of -5*w**4/4 + 25*w**3/6 + 5*w**2 + 12*w. Suppose t(u) = 0. What is u?
-1/3, 2
Suppose 0 + 2 = h. Determine c so that -4 + 8*c**2 - 4*c**h + 1 - c**2 = 0.
-1, 1
Let g(n) be the first derivative of 5*n**6/6 - 3*n**5 - 25*n**4/4 + 5*n**3 + 10*n**2 - 12. Factor g(d).
5*d*(d - 4)*(d - 1)*(d + 1)**2
Suppose 2*c - 7*c = -65. Suppose 0 = u + 5*z + c, -2*z - 14 = -u - 3*u. Find t, given that -4 + 2*t**3 - t + u + 1 - t**5 + 2*t**2 - t**4 = 0.
-1, 1
Factor 0*y + 1 - y**2 + 4*y - 7 + 3.
-(y - 3)*(y - 1)
Let t(u) be the second derivative of u**5/80 + u**4/12 + u. Factor t(i).
i**2*(i + 4)/4
Let v(f) be the second derivative of f**7/60 + f**6/25 + 3*f**5/200 - f**4/60 - 60*f. Factor v(x).
x**2*(x + 1)**2*(7*x - 2)/10
Let d(v) be the first derivative of 15*v**4/4 + 2*v**3 - 15*v**2/2 - 6*v + 3. Let d(l) = 0. Calculate l.
-1, -2/5, 1
Let i(y) be the third derivative of -y**6/360 - y**5/30 + y**4/72 + y**3/3 + 65*y**2. Factor i(a).
-(a - 1)*(a + 1)*(a + 6)/3
Suppose -r + 5*r = 8. Let x be (-1 + 1)/(r/(-2)). Suppose 2/9*q**4 + 0 + 2/9*q**3 + x*q**2 + 0*q = 0. What is q?
-1, 0
Suppose 3*l = -z - 9, -3*l - 6 = 5*z + 3. Factor 2*t + z + 10*t**3 - 8*t**2 - 4*t**4 + 0.
-2*t*(t - 1)**2*(2*t - 1)
Let t be (-18)/15 - ((-209)/20 + 9). Factor -t*r + 0 - 1/4*r**2.
-r*(r + 1)/4
Determine n, given that 5*n**3 + 18*n**2 + 25*n + 14*n**2 + 15*n**2 + 10 - 27*n**2 = 0.
-2, -1
Let n be (124/465)/(14/10 - 1). Factor 0*s**3 + 0 + n*s**4 + 0*s - 2/3*s**2.
2*s**2*(s - 1)*(s + 1)/3
Let d = -98/1845 - -4/41. Let s(i) be the first derivative of 0*i + 8/9*i**3 + 8/9*i**2 + d*i**5 + 2 + 1/3*i**4. Factor s(f).
2*f*(f + 2)**3/9
Let q be (-3)/9*5*(0 + -3). Let f(x) be the second derivative of 1/50*x**q + 0 + 8/5*x**2 + 4/5*x**3 + 1/5*x**4 + x. Factor f(r).
2*(r + 2)**3/5
Let z = -16 - -4. Let i be (-6)/9*z/22. Factor -2/11*l**3 + 4/11 - i*l**2 + 2/11*l.
-2*(l - 1)*(l + 1)*(l + 2)/11
Let n(k) = 5*k**4 + 5*k**3 - 10*k**2 - 5*k. Let p(r) = 5*r**4 + 5*r**3 - 9*r**2 - 5*r. Let q(t) = -4*n(t) + 5*p(t). Factor q(i).
5*i*(i - 1)*(i + 1)**2
Let n(w) be the third derivative of 5/72*w**4 + 1/45*w**5 + 0 + 1/360*w**6 - 4*w**2 + 0*w + 1/9*w**3. Find s, given that n(s) = 0.
-2, -1
Suppose 3*n + 0*l - 16 = -l, n - 9 = -4*l. What is w in 4*w**4 + 2*w**4 - 2*w**4 + 2*w**3 + 2*w**n = 0?
-1, 0
Factor -128/5*r**4 + 264/5*r**2 + 6/5 - 14*r - 288/5*r**3.
-2*(r + 3)*(4*r - 1)**3/5
Suppose -4*p + 5 + 5 = -2*s, -3*p + 5*s - 10 = 0. Suppose 3*b + 8 = 7*b - p*l, -2*b = l - 4. Factor -1/2*q**4 + 2*q**3 - 3*q**2 + b*q - 1/2.
-(q - 1)**4/2
Solve 6/17*j**2 - 2/17*j**3 + 2/17 - 6/17*j = 0.
1
Let p be (5 + -7)*(-10)/15. Let -1/3*d**2 - p - 4/3*d = 0. What is d?
-2
Suppose -s - 19 + 19 = 0. Let l(n) be the second derivative of n + s*n**2 - 1/6*n**3 - 1/24*n**4 + 0. Factor l(k).
-k*(k + 2)/2
Let o = -6 - -14. Suppose -8 = -3*j - j. Suppose 0*t + o*t + 0*t**j - 3*t**2 - 2*t = 0. Calculate t.
0, 2
Suppose 2*h + 5*k - 2 + 15 = 0, -4*k = 4. Let u be 12/9*(-6)/h. Determine d, given that -2*d**2 - d - 2*d**3 - u*d + 5*d + 2 = 0.
-1, 1
Let x(a) be the third derivative of 1/105*a**7 + 0 - a**2 + 13/240*a**6 + 0*a**3 + 1/24*a**4 + 11/120*a**5 + 0*a. Factor x(g).
g*(g + 1)*(g + 2)*(4*g + 1)/2
Let g(n) be the first derivative of n**6/21 - 12*n**5/35 + 13*n**4/14 - 8*n**3/7 + 4*n**2/7 + 1. Factor g(c).
2*c*(c - 2)**2*(c - 1)**2/7
Determine u, given that -16 - 68*u**2 - 12*u**3 - 25*u - 8*u**3 - 39*u = 0.
-2, -1, -2/5
Let -12*a**2 - 12*a - 2 - 12 + 10*a**2 - 2 = 0. What is a?
-4, -2
Suppose j = 5*j - 5*r - 17, 3*j - 13 = 4*r. Let k(l) be the third derivative of 0*l**j + 0*l - l**2 + 1/60*l**5 + 0 + 0*l**4. Solve k(c) = 0 for c.
0
Let k = 4 + -3. Suppose -z + k + 2 = 0. Find l, given that -z*l**2 - 2 + 5 - l - 1 = 0.
-1, 2/3
Find l such that 0*l + l**2 + 3/2*l**3 + 0 = 0.
-2/3, 0
Let t = 4 - 7. Let s be t/2 - (-3 - 0). Factor -3/2*p**2 - 1/2 - 1/2*p**3 - s*p.
-(p + 1)**3/2
Let n(r) be the second derivative of -r**6/40 + 9*r**5/80 - 3*r**4/16 + r**3/8 + 16*r. Solve n(q) = 0.
0, 1
Let b(m) be the third derivative of 2*m**7/735 + 2*m**6/105 + 4*m**5/105 - 27*m**2. Factor b(v).
4*v**2*(v + 2)**2/7
Suppose -3/2*n**4 + 0*n + 0 - n**3 - 1/2*n**5 + 0*n**2 = 0. Calculate n.
-2, -1, 0
Let t(k) be the second derivative of k**7/42 - k**6/15 - 8*k. Let t(s) = 0. What is s?
0, 2
Let c(s) = 18*s**3 + 8*s**2 - 4*s. Let l(m) = 4*m - 8*m**3 - 9*m**2 - 5*m**3 - 5*m**3 + 0*m**2. Let v(u) = 5*c(u) + 6*l(u). Factor v(p).
-2*p*(p + 1)*(9*p - 2)
Let h(i) be the first derivative of -6*i - 6/5*i**5 - 8 + i**2 + 1/3*i**6 + 4*i**3 - i**4. Find l such that h(l) = 0.
-1, 1, 3
Let g(v) = -v**4 - v**2 - v + 1. Let l(r) = -4*r**5 + 15*r**4 - 8*r**3 - 5*r**2 + 15*r - 7. Let y(n) = 3*g(n) + l(n). Let y(a) = 0. Calculate a.
-1, 1
Let g(l) be the third derivative of l**6/60 + l**5/18 + l**4/36 - l**3/9 - 9*l**2. Factor g(r).
2*(r + 1)**2*(3*r - 1)/3
Factor -b**3 + 0*b**4 + 1/2*b**2 + 1/4*b**5 + 3/4*b - 1/2.
(b - 1)**3*(b + 1)*(b + 2)/4
Suppose -2/7*p**3 + 2/7*p + 0 + 6/7*p**2 - 6/7*p**4 = 0. Calculate p.
-1, -1/3, 0, 1
Suppose 2*l = 3*k - 3*l - 16, 3*k - 4 = -l. Let 1/4 + 1/2*w + 1/4*w**k = 0. Calculate w.
-1
Let z = 127/420 + -2/7. Let c(m) be the second derivative of m - 4/9*m**3 + 0 + 5/36*m**4 + 2/3*m**2 - z*m**5. Factor c(j).
-(j - 2)**2*(j - 1)/3
Let x(t) = 11*t**3 + 1 + 11*t**3 - 20*t + 11 - 2*t**2. Let j(f) = f**2 - 8*f**3 + 21*f - 15*f**3 - 20 + 7. Let r(c) = 4*j(c) + 5*x(c). Factor r(k).
2*(k + 1)*(3*k - 2)**2
Let o(a) be the first derivative of a**4/2 + 2*a**3 - a**2 - 6*a + 19. Find y such that o(y) = 0.
-3, -1, 1
Let r(i) be the third derivative of -i**7/6 - i**6/12 + 16*i**2. Factor r(t).
-5*t**3*(7*t + 2)
Factor -2/5*j**3 + 14/5*j + 12/5 + 0*j**2.
-2*(j - 3)*(j + 1)*(j + 2)/5
Let k(u) be the third derivative of u**8/504 - u**7/315 - u**6/90 + u**5/45 + u**4/36 - u**3/9 + u**2. Solve k(v) = 0 for v.
-1, 1
Let q(y) be the third derivative of y**7/1260 + 9*y**2. Factor q(u).
u**4/6
Let w(b) = -4*b**4 - 4*b**3 - 5*b**2 + b - 3. Let r be (6/(-3) - 2)/1. Let a(g) = -3*g**4 - 4*g**3 - 5*g**2 - 2. Let q(x) = r*w(x) + 6*a(x). Factor q(z).
-2*z*(z + 1)**2*(z + 2)
Let s(j) be the first derivative of j**3/12 - 5*j**2/8 + j + 13. Factor s(b).
(b - 4)*(b - 1)/4
Let f(w) = w + 161. Let x be f(0). Suppose -5 + x = 3*j. Solve -j*g**3 - 12*g**2 + 20*g**2 + 14*g**4 + 16*g + 32*g**2 = 0 for g.
-2/7, 0, 2
Suppose -2*i + c + 9 = -0*c, 2*i + 4*c - 14 = 0. Let o be (-12)/(i/((-40)/6)). Suppose -16*p**2 + o*p**2 + p - p**3 = 0. Calculate p.
-1, 0, 1
Let m(p) = -p**2 - p + 3. Let v be m(-3). Let s be v*((-4)/6 - 0). Determine j, given that 0*j + 2*j**s + 2*j**3 + 0*j - 2*j - 2 = 0.
-1, 1
Let y = 51/55 - 8/11. Let l(z) be the first derivative of -1/3*z**3 + 1 + 1/2*z**2 + y*z**5 - 1/4*z**4 + 0*z. Find a such that l(a) = 0.
-1, 0, 1
Let i(m) be the second derivativ