/4, 1
Let q(y) be the first derivative of 4*y**5/5 - 5*y**4 + 32*y**3/3 - 8*y**2 + 9. Let q(x) = 0. Calculate x.
0, 1, 2
Let s = 194170746 + -840565155604/4329. Let y = s - -2/481. Factor -y*t + 2/3*t**3 - 10/9*t**2 + 8/9.
2*(t - 2)*(t + 1)*(3*t - 2)/9
Let w(a) be the third derivative of 1/150*a**5 + 0 - 1/1050*a**7 + 1/300*a**6 - 1/1680*a**8 - 1/120*a**4 + 0*a - 9*a**2 - 1/30*a**3. Let w(h) = 0. Calculate h.
-1, 1
Let h(q) be the third derivative of q**8/168 - q**7/105 - q**6/15 + 2*q**5/15 - 7*q**2. Determine r, given that h(r) = 0.
-2, 0, 1, 2
Let q(r) be the second derivative of -r**7/2520 + r**5/360 + 5*r**3/3 + 9*r. Let g(f) be the second derivative of q(f). Solve g(w) = 0.
-1, 0, 1
Let d = -1/295 + 597/2065. Find r such that -d*r**3 + 6/7*r**2 - 4/7*r + 0 = 0.
0, 1, 2
Let u(n) = -4*n + 6*n - 4*n. Let t be u(-1). Factor -14*y**4 - 8/3*y**t + 0 + 32/3*y**3 + 0*y + 6*y**5.
2*y**2*(y - 1)*(3*y - 2)**2/3
Let z = -611/3 - -205. Solve z*u + 1/3*u**3 + 4/3*u**2 + 0 = 0.
-2, 0
Let m = 7 - 22. Let v be m/12*4/(-10). Suppose 2*p - 2 - v*p**2 = 0. What is p?
2
Let l(y) = 9*y**2 + 7*y - 2. Let z be (-2)/(-5) + (-23)/(-5). Let i(p) = 1 + z*p**2 + 5*p - p - 2. Let h(q) = 7*i(q) - 4*l(q). Factor h(u).
-(u - 1)*(u + 1)
Determine d, given that 1 + 11/6*d + 2/3*d**2 - 1/6*d**3 = 0.
-1, 6
Let q(u) be the third derivative of -u**5/15 - u**4/2 - 9*u**2. Let q(n) = 0. Calculate n.
-3, 0
Let i be (-36)/10 - (0/(-4) - 4). Find m such that 2/5*m**5 + 2/5*m - 4/5*m**2 + 2/5*m**4 + i - 4/5*m**3 = 0.
-1, 1
Let w(i) = -9828*i**3 + 5202*i**2 - 916*i + 52. Let r(n) = n**3 - n + 1. Let b(l) = 2*r(l) + w(l). Factor b(q).
-2*(17*q - 3)**3
Factor 12/23*q - 2/23*q**2 - 18/23.
-2*(q - 3)**2/23
Let z = -8 + -2. Let y be (-42)/z + 4/(-20). Factor 0 + 0*w**2 + 2/7*w**y + 0*w - 4/7*w**3.
2*w**3*(w - 2)/7
Let r(i) be the second derivative of 2*i**6/15 - 7*i**5/10 + 3*i**4/2 - 5*i**3/3 + i**2 + 4*i. Let r(l) = 0. What is l?
1/2, 1
Let d(x) be the first derivative of -2*x**6/3 + 8*x**5/5 - x**4 + 1. Find j, given that d(j) = 0.
0, 1
Let l be ((-4)/(-5))/((-6)/(-15))*1. Factor -12/5 + 16/5*g - 4/5*g**l.
-4*(g - 3)*(g - 1)/5
Let x(b) be the second derivative of -b**7/378 + b**6/54 - 7*b**5/180 - b**4/108 + 4*b**3/27 - 2*b**2/9 + 44*b. What is k in x(k) = 0?
-1, 1, 2
Let a(t) = -3*t**3 - 9*t**2 - 3*t - 3. Let l(z) = 2*z + 9. Let u be l(4). Let n(r) = 8*r**3 + 26*r**2 + 9*r + 8. Let q(m) = u*a(m) + 6*n(m). Factor q(j).
-3*(j - 1)**2*(j + 1)
Let d = -7/11 + 25/22. Factor 0 + 0*n - d*n**5 + 0*n**2 + 0*n**3 + 1/2*n**4.
-n**4*(n - 1)/2
Let q be (-9)/(-3) - 0/(-1). Let w(t) be the second derivative of -1/9*t**4 - 1/63*t**7 - 4/45*t**6 + 0*t**q - 2*t + 0 + 0*t**2 - 1/6*t**5. Factor w(o).
-2*o**2*(o + 1)**2*(o + 2)/3
Let t(w) be the third derivative of w**5/150 - w**3/15 + 22*w**2. Factor t(b).
2*(b - 1)*(b + 1)/5
Determine n so that 8/7*n**2 + 1/7*n**3 + 3*n + 18/7 = 0.
-3, -2
Suppose 8*o + 0 = 16. Let 2/3 - 4/3*u**o + 0*u + 2/3*u**4 + 0*u**3 = 0. Calculate u.
-1, 1
Let o be -2 - (1 + 5/(-1)). Let j(h) be the second derivative of 1/3*h**3 + 1/6*h**4 + 0*h**o + 0 + h. Factor j(r).
2*r*(r + 1)
Factor 0 - 5/2*m + 5/2*m**2.
5*m*(m - 1)/2
Let u(i) be the second derivative of 1/9*i**4 + 0*i**5 - 1/45*i**6 + 0*i**3 - 1/3*i**2 - 3*i + 0. Factor u(l).
-2*(l - 1)**2*(l + 1)**2/3
Let l = 38/17 - 5569/2499. Let m(x) be the second derivative of -1/21*x**4 + 1/7*x**2 - 1/35*x**5 + 1/21*x**3 + l*x**7 - x + 1/105*x**6 + 0. Factor m(j).
2*(j - 1)**2*(j + 1)**3/7
Let i = 8 + -6. Suppose 4*z = 5*o + 10, 0 = -4*o - i*z + 32 - 14. Solve -6*b**3 + b**4 - 8*b**3 + 9*b**4 + 8*b**2 - 4*b**o = 0.
0, 2/5, 1
Let p = 13 + -13. Let n(a) be the first derivative of 0*a**3 + 0*a + 2/5*a**5 - 1/4*a**4 + p*a**2 - 1 - 1/6*a**6. Find l, given that n(l) = 0.
0, 1
Let v(i) be the first derivative of i**4/9 - 8*i**3/3 + 24*i**2 - 96*i - 17. Solve v(d) = 0 for d.
6
Let y = 46 - 229/5. Factor -2/5*q + 1/5 + y*q**2.
(q - 1)**2/5
Let d(x) be the second derivative of 4*x - 1/10*x**2 - 1/30*x**3 - 1/150*x**6 + 0 + 1/30*x**4 - 1/210*x**7 + 1/50*x**5. Determine q so that d(q) = 0.
-1, 1
Let f(m) be the first derivative of 49*m**4/16 - 119*m**3/12 - 10*m**2 - 3*m + 5. Let f(i) = 0. Calculate i.
-2/7, 3
Suppose 0 + 9/2*q - 3/4*q**2 = 0. Calculate q.
0, 6
Let h(x) be the first derivative of -x**6/24 - x**5/5 - 3*x**4/16 + x**3/3 + x**2/2 - 4. Determine j so that h(j) = 0.
-2, -1, 0, 1
Let n(o) = -o**2 + 4*o**4 + o + 2*o**3 + 32 - 29 - 3*o**2. Let t(m) = -3*m**4 - m**3 + 3*m**2 - m - 2. Let j(h) = 2*n(h) + 3*t(h). Factor j(f).
-f*(f - 1)**2*(f + 1)
Suppose 0*x + 5*x + 3*u = 4, 2*x - 5*u - 14 = 0. Suppose -x*a = 3*a. Factor 0*q**2 + a - 4/5*q**3 + 2/5*q + 0*q**4 + 2/5*q**5.
2*q*(q - 1)**2*(q + 1)**2/5
Let j(y) be the first derivative of -y**3/9 + y**2/3 + y + 26. Solve j(h) = 0.
-1, 3
Let c(d) = 6*d**5 - 9*d**4 + 12*d**3 - 6*d**2 - 3*d. Let w(z) = -11*z**5 + 18*z**4 - 23*z**3 + 11*z**2 + 5*z. Let l(r) = 5*c(r) + 3*w(r). Factor l(s).
-3*s**2*(s - 1)**3
Factor p - p**2 + p + 0*p + p.
-p*(p - 3)
Suppose 0 = 4*r - 5*r. Let t = r - 0. Factor 0*n**2 - 1/4*n**3 + t + 0*n.
-n**3/4
Let b(s) be the second derivative of -s**5/20 + s**4/3 + s**3/6 + s. Let t be b(4). Factor 2*i**2 - 5*i**4 - 2 + 4*i**t + 1.
-(i - 1)**2*(i + 1)**2
Determine y so that 24*y**3 - 277 + 301 + 15*y**4 + 60*y - 63*y**3 - 18*y**2 = 0.
-1, -2/5, 2
Let k(a) be the third derivative of 2*a**2 - 1/240*a**5 + 0*a + 0 + 0*a**3 + 1/48*a**4. Find b such that k(b) = 0.
0, 2
Let x(a) = -a**3 - a**2 - a - 1. Let k(f) = -f**4 - 4*f**3 - 6*f**2 - 2*f + 1. Let i(b) = -4*k(b) - 4*x(b). Factor i(o).
4*o*(o + 1)**2*(o + 3)
Let v be (-6)/(-3)*-1 + 7. Determine g so that 0*g**v - 4*g**4 + 3*g**4 + 0*g**4 + g**5 = 0.
0, 1
Let b = -12/43 + 259/774. Let x(a) be the second derivative of 0*a**4 - a - 1/60*a**5 + b*a**3 + 0*a**2 + 0. Factor x(i).
-i*(i - 1)*(i + 1)/3
Let r be 121/(-792) - 2/(-12). Let m(q) be the third derivative of 0*q + 0*q**5 + 1/360*q**6 - r*q**4 + 0*q**3 + 2*q**2 + 0. Solve m(h) = 0.
-1, 0, 1
Let v(m) be the third derivative of -1/840*m**7 - 1/480*m**6 + 0*m**4 + 0 + 0*m + 0*m**3 - 4*m**2 + 1/120*m**5. Determine d so that v(d) = 0.
-2, 0, 1
Let i be 4 + ((-2)/2)/1. Let y be 7 - i - (7 - 5). Factor -2/3*q**5 + 0 + 0*q**y - 2/3*q**4 + 0*q + 0*q**3.
-2*q**4*(q + 1)/3
Let y = 11 + -8. Suppose -y*n = 5 - 32. Factor 2 + n*a - 3*a + 2*a**3 + 6*a**2 + 0.
2*(a + 1)**3
Let g be -3 - ((-8)/(-20) + (-81)/15). Determine o, given that 0*o + 2/5*o**3 + 0 + 2/5*o**g = 0.
-1, 0
Let g(r) be the first derivative of 2/9*r**3 + 3 + 0*r + 1/90*r**5 + r**2 - 1/12*r**4. Let f(t) be the second derivative of g(t). Factor f(h).
2*(h - 2)*(h - 1)/3
Let k(a) be the third derivative of 1/210*a**7 + 0 + 0*a + 3/20*a**5 + 1/20*a**6 + 0*a**3 + 0*a**4 - a**2. Suppose k(b) = 0. Calculate b.
-3, 0
Factor 0 - 26/7*c**2 - 8/7*c - 30/7*c**3 - 2*c**4 - 2/7*c**5.
-2*c*(c + 1)**3*(c + 4)/7
Let t(q) be the first derivative of q**5/100 - q**3/30 - 3*q + 3. Let p(m) be the first derivative of t(m). Find v such that p(v) = 0.
-1, 0, 1
Let j be (-18)/(-8) - 9/(-12). Factor 2/5*c**j + 0 + 0*c + 0*c**2.
2*c**3/5
Suppose 4*o + 0*o - r - 10 = 0, 5*o = r + 13. Let b(w) be the first derivative of 1 - 1/3*w**o - w + w**2. Find a, given that b(a) = 0.
1
Let y(b) be the third derivative of -b**5/60 - 7*b**4/12 - 13*b**3/6 - 13*b**2. Let f be y(-13). What is i in 2/3*i**2 - 1/3*i - 1/3*i**3 + f = 0?
0, 1
Suppose -2*u - u + 9 = 0. Suppose -2*s = m - 2, -s = -0*s + u*m + 4. Determine d, given that 8/3 - 14/3*d**s + 0*d + 2*d**3 = 0.
-2/3, 1, 2
Let 4*d**2 - 9*d**2 + 5*d + 5*d - 5 = 0. Calculate d.
1
Let q(k) be the first derivative of k**8/840 - k**6/180 - 2*k**3 - 5. Let j(u) be the third derivative of q(u). Solve j(h) = 0.
-1, 0, 1
Let g be ((-8)/(-28))/(1/(-14)*-1). Factor -6/5*s**3 + 2/5*s**2 + 0*s + 4/5*s**g + 0.
2*s**2*(s - 1)*(2*s - 1)/5
Let r(i) be the third derivative of i**7/210 - i**5/60 + 12*i**2. Let r(t) = 0. Calculate t.
-1, 0, 1
Let t = 2 - -2. Let c(l) be the first derivative of 11*l**3 + 21/2*l**6 + 171/5*l**5 - 2 - t*l - 6*l**2 + 149/4*l**4. Find h such that c(h) = 0.
-1, -2/3, -1/3, 2/7
Let x(r) = -6*r**4 - 12*r**3 - 9*r**2 - 3. Let o(v) = v**4 + v**3 + v**2 + 1. Let m(d) = 3*o(d) + x(d). Find w, given that m(w) = 0.