20*d**5 + 5/84*d**7 + 0*d**4 + 0*d**2. Determine c so that f(c) = 0.
-2/5, 0, 1
Let g = -3 + 5. Suppose v + 10 = 6*v. Determine p so that -v + 3*p**2 - 6*p**2 - 3*p + 2*p**g = 0.
-2, -1
Factor -9*k + 3/5*k**3 - 6/5*k**2 + 108/5.
3*(k - 3)**2*(k + 4)/5
Factor 1/2 - 1/2*f**3 + 3/2*f**2 - 3/2*f.
-(f - 1)**3/2
Let n(u) be the first derivative of -u**3 - 11. Factor n(z).
-3*z**2
Let r(k) = k**3 - k + 6. Let v be r(0). Let y be (-1 + -1)/(-2 - v). Factor 0*t + 0*t**2 + 0 - y*t**5 + 1/2*t**4 - 1/4*t**3.
-t**3*(t - 1)**2/4
Let p(m) be the second derivative of m**7/5040 - m**5/240 - m**4/2 - 2*m. Let r(z) be the third derivative of p(z). Solve r(k) = 0 for k.
-1, 1
Let j = -13 - -16. Suppose -7*f**j + 4*f**3 + f**3 - f**2 + f = 0. Calculate f.
-1, 0, 1/2
Let u(f) be the third derivative of f**7/70 - 3*f**6/40 - f**5/4 + 3*f**4/8 + 2*f**3 - 14*f**2. Determine p, given that u(p) = 0.
-1, 1, 4
Let s(r) be the second derivative of -r**5/10 + r**4/6 + r**3/3 - r**2 - 9*r. Factor s(x).
-2*(x - 1)**2*(x + 1)
Let u(z) be the second derivative of z**6/45 + z**5/10 + z**4/9 + 4*z. Factor u(h).
2*h**2*(h + 1)*(h + 2)/3
Let f(y) be the first derivative of -y**4/4 + 2*y**3/3 + y**2 - y + 2. Let n be f(2). Factor -i**3 + 2*i**3 + 0*i**n.
i**3
Let t = 1/45 - -41/180. Let q(u) be the first derivative of -1/6*u**6 - 1/5*u**5 + 0*u + 1/3*u**3 + 1 + t*u**4 + 0*u**2. Factor q(f).
-f**2*(f - 1)*(f + 1)**2
Let s(a) be the first derivative of -4*a**6/3 + 2*a**5/5 + 14*a**4 - 62*a**3/3 + 6*a**2 - 23. Let s(z) = 0. What is z?
-3, 0, 1/4, 1, 2
Let v(h) be the third derivative of -4*h**8/21 - 16*h**7/35 - 3*h**6/10 - h**5/15 - 15*h**2. Factor v(w).
-4*w**2*(w + 1)*(4*w + 1)**2
Let z be ((-12)/(-3) + -1)/1. Determine m, given that -72/11*m - 16/11 + 50/11*m**z - 60/11*m**2 = 0.
-2/5, 2
Let p = 21 - 12. Let w(l) = l**2 - 5*l - 10. Let s(i) = 3*i**2 - 9*i - 21. Let f(y) = p*w(y) - 4*s(y). Factor f(v).
-3*(v + 1)*(v + 2)
Find b, given that 1/5*b**3 - 1/5*b**2 + 0*b + 0 = 0.
0, 1
Let g = 5 - 8. Let k = g + 6. Suppose i**2 + i**2 - i**2 + 6*i - k*i**2 - 4 = 0. Calculate i.
1, 2
Let g(p) be the first derivative of -3*p**4/14 + 8*p**3/7 + 15*p**2/7 - 10. Factor g(o).
-6*o*(o - 5)*(o + 1)/7
Let k(g) be the first derivative of -g**3/12 + g/4 - 4. Factor k(w).
-(w - 1)*(w + 1)/4
Let v(s) be the second derivative of -s**5/4 - 5*s**4/6 - 5*s**3/6 - 7*s. Find q such that v(q) = 0.
-1, 0
Let d(w) = 3*w**2 + 60*w. Let a be d(-20). Suppose -1/5*k**3 + a*k**2 - 2/5 + 3/5*k = 0. Calculate k.
-2, 1
Let o = 2/717 - -5011/2868. Let s = o - 3/2. Suppose -1/2*l - 1/4*l**2 - s = 0. What is l?
-1
Let u(q) be the first derivative of -q**6/3 + 2*q**5/5 + q**4 - 4*q**3/3 - q**2 + 2*q + 1. Factor u(d).
-2*(d - 1)**3*(d + 1)**2
Factor 14/3*l**2 - 16/3*l + 10/3*l**3 - 8/3.
2*(l - 1)*(l + 2)*(5*l + 2)/3
Let v(g) = -6*g**3 - g**2 - 2*g - 1. Let c be v(-1). Suppose 3*k = c*k. Suppose 1/2*z**2 + 0 + k*z - 1/2*z**3 = 0. What is z?
0, 1
Let o = -25 - -27. Let o*v - 2 - 1/2*v**2 = 0. Calculate v.
2
Let l(t) = -4*t**3 - 9*t + 4*t**3 - 2*t**3. Suppose 7 = s + 18. Let z(i) = i**3 + 5*i. Let j(n) = s*z(n) - 6*l(n). Let j(u) = 0. Calculate u.
-1, 0, 1
Let q(g) be the second derivative of 0 - 1/50*g**5 + 0*g**2 + 0*g**3 + g - 1/30*g**4. Find l such that q(l) = 0.
-1, 0
Let w(j) be the third derivative of -j**5/210 + 2*j**4/21 - 16*j**3/21 - 12*j**2. Factor w(r).
-2*(r - 4)**2/7
Let j(h) be the third derivative of -h**6/150 - 2*h**5/25 - 3*h**4/10 - 8*h**3/15 - 42*h**2. Factor j(u).
-4*(u + 1)**2*(u + 4)/5
Let a be 32/30 - 22/55. Factor a*w**2 - 4/3 + 2/3*w.
2*(w - 1)*(w + 2)/3
Let j be -1 - (15/12)/(-1). Let b = 53/4 + -13. Factor -1/4 - 1/4*x**4 + 1/2*x**3 - b*x - j*x**5 + 1/2*x**2.
-(x - 1)**2*(x + 1)**3/4
Let k(n) be the third derivative of n**7/630 + n**6/60 + n**5/15 + 5*n**4/36 + n**3/6 - 7*n**2. Factor k(r).
(r + 1)**3*(r + 3)/3
Let m = 711 - 23447/33. Let t = m + 2/11. Factor -t*v**3 + 0*v**2 + 0*v + 0.
-2*v**3/3
Let y(d) = -d**3 + d**2 + 2*d - 2. Let m be y(2). Let n be 1/m - 22/(-4). Factor -2*r - n + 2*r**3 + 3 - r**2 + 3*r**2.
2*(r - 1)*(r + 1)**2
Let a = -9012/55 + 3558/11. Let u = -159 + a. Factor 1/5*p**3 + 3/5*p + 1/5 + u*p**2.
(p + 1)**3/5
Let d(k) be the second derivative of -k**6/180 + k**5/120 + k**4/24 - 5*k**3/36 + k**2/6 - 3*k. Factor d(x).
-(x - 1)**3*(x + 2)/6
Let t(k) be the second derivative of k**4 - 27*k**3/2 - 21*k**2/2 - 33*k. Factor t(a).
3*(a - 7)*(4*a + 1)
Let a(k) be the first derivative of 2/5*k + 3 - 1/15*k**3 - 1/10*k**2. Factor a(w).
-(w - 1)*(w + 2)/5
Let c(o) be the third derivative of o**7/630 + 7*o**6/180 + 4*o**5/15 - 7*o**4/36 - 49*o**3/18 + 35*o**2. Suppose c(n) = 0. What is n?
-7, -1, 1
Let q = 39/62 + -4/31. Find o such that -1/2*o**3 + 1/2*o**4 + 1/2*o - q*o**2 + 0 = 0.
-1, 0, 1
Let n be 0 - 1/(6/(-4)). Let m(a) = a**3 - 6*a**2 + 4*a + 7. Let c be m(5). Factor -4/9 - 4/9*o**3 + n*o + 2/3*o**c.
-2*(o - 2)*(o + 1)*(2*o - 1)/9
Factor -t**2 + 56 - 50 + 0*t + t.
-(t - 3)*(t + 2)
Let i(s) be the third derivative of -s**6/24 - s**5/12 + 5*s**4/24 + 5*s**3/6 + 6*s**2. Factor i(g).
-5*(g - 1)*(g + 1)**2
Suppose -8*t - 36 = -4*t - 4*b, -2*t + 3*b = 18. Let g(u) = u**3 + 8*u**2 - 8*u + 13. Let x be g(t). Factor 21 - 4*k**3 + 2*k**x - 21 + 2*k**2.
2*k**2*(k - 1)**2
Let u(h) be the first derivative of 2*h**5/45 + h**4/18 - h**3/27 + 2*h - 2. Let c(j) be the first derivative of u(j). Solve c(z) = 0.
-1, 0, 1/4
Let o = -6 - -10. Let 49*f**5 + 109*f**3 + 5*f**4 - 36*f**2 + 4*f - 61*f**4 + 3*f**o - 73*f**4 = 0. What is f?
0, 2/7, 1
Let o(n) be the second derivative of n**6/30 - n**5/10 - n**4/12 + n**3/3 - 30*n. Find a, given that o(a) = 0.
-1, 0, 1, 2
Let s(k) be the first derivative of 2*k**6/7 + 2*k**5/35 - 11*k**4/14 - 2*k**3/7 + 5*k**2/7 + 4*k/7 - 12. Determine g so that s(g) = 0.
-1, -2/3, -1/2, 1
Factor -d**4 + 5 + 7*d**3 - 3*d**2 - d - 5 - 10*d**3.
-d*(d + 1)**3
Factor -10 - 10 - 21*i**3 + 75*i + 6*i**3 - 40*i**2.
-5*(i - 1)*(i + 4)*(3*i - 1)
Let t(n) be the third derivative of -1/105*n**7 + 0*n**4 + 1/120*n**6 - n**2 + 0 + 0*n**5 + 0*n**3 + 1/336*n**8 + 0*n. Suppose t(x) = 0. What is x?
0, 1
Let s(h) be the first derivative of 4*h**3/3 + 6*h**2 - 16*h + 25. Factor s(v).
4*(v - 1)*(v + 4)
Let a(p) = -2*p + 5. Let j be a(-4). Suppose -5*d + j = -7. Factor -2*r**3 + 0*r**d - 4*r**4 - 6*r**5 + 4*r**3.
-2*r**3*(r + 1)*(3*r - 1)
Let n be 1/10 + (-8)/(-60)*3. Factor 1/2*c**5 + 0 - c**4 + c**2 + 0*c - n*c**3.
c**2*(c - 2)*(c - 1)*(c + 1)/2
Let m(j) = 5*j**3 - 4*j**2 - j + 4. Let a(h) = -11*h**3 + 9*h**2 + 2*h - 9. Let y(c) = 4*a(c) + 9*m(c). Suppose y(q) = 0. What is q?
-1, 0, 1
Let c(g) be the first derivative of 2*g**3/3 - 6*g**2 + 18*g + 12. Factor c(i).
2*(i - 3)**2
Let v(a) be the first derivative of -4*a**3/3 + 11. Suppose v(b) = 0. Calculate b.
0
Suppose -3*b = -5*f + 37, 22 = 2*f + 3*b - 6*b. Suppose 0 - 49/9*q**f + 0*q + 4/9*q**3 - 49/9*q**4 + 4/9*q**2 = 0. What is q?
-1, -2/7, 0, 2/7
Let o(v) be the third derivative of v**6/480 + v**5/40 + 3*v**4/32 + v**3/6 + 52*v**2. Factor o(n).
(n + 1)**2*(n + 4)/4
Let w be 23/(-140) - 3/(-18). Let h(c) be the third derivative of 0 + 0*c**3 + 0*c - 1/84*c**4 - w*c**6 + 1/105*c**5 - 3*c**2. Solve h(n) = 0.
0, 1
Let m be 8/(-6) - 22/(-16). Let b(t) be the third derivative of 0*t**3 - 1/120*t**5 - m*t**4 + t**2 + 1/60*t**6 + 1/140*t**7 + 0*t + 0. Factor b(h).
h*(h + 1)**2*(3*h - 2)/2
Let y be (2/8)/((-2)/(-4)). Let m(p) = 5*p - 77. Let j be m(16). Factor 0*o**2 - 1/2*o**4 - o**j + y + o.
-(o - 1)*(o + 1)**3/2
Let q(p) be the second derivative of -p + 0 + 1/12*p**4 + 9/2*p**2 - p**3. Factor q(a).
(a - 3)**2
Let r(f) = -f**2 + 9*f - 12. Let i be r(7). Determine q so that -1/4*q**i - 1/2 + 3/4*q = 0.
1, 2
Let i = 6 + -9. Let o be 2/i - 58/(-6). Determine v so that 5*v**5 + v**2 - 12*v**4 - 4*v**2 + o*v**3 + v**2 = 0.
0, 2/5, 1
Let x(i) be the second derivative of 0*i**5 + 0*i**3 - 1/75*i**6 + 0 + 0*i**4 - 4*i - 1/105*i**7 + 0*i**2. Factor x(t).
-2*t**4*(t + 1)/5
Suppose 2*t + 23 = -5*g, -t = 2*g - 0*t + 10. Let o be 6 - (g - (-2 - 4)). Factor -1/2*n - 9/2*n**2 + 9/2*n**o + 1/2.
(n - 1)*(3*n - 1)*(3*n + 1)/2
Suppose 2*p + 0*k = 3*k + 142, 5*k + 284 = 4*p. Let o = -211/3 + p. Factor o*f**2 - 2/3*f + 0.
2*f*(f - 1)/3
Let n(m) = m**2 + 5*m + 4*m - 