 94*n + n**5 + 2*n**2 + 96*n.
n*(n - 2)*(n - 1)*(n + 1)**2
Suppose 4*h - 13 - 7 = 0. Suppose 0 = -u + h*u - 12. Factor 2/9*n**u + 0 - 2/9*n + 0*n**2.
2*n*(n - 1)*(n + 1)/9
Let d(j) be the second derivative of j**6/45 - j**4/18 - 9*j. What is o in d(o) = 0?
-1, 0, 1
Let s(o) = -2*o**2 - o. Let z(q) = -3*q**2 - 1. Let r(d) = 4*s(d) - 3*z(d). Determine h, given that r(h) = 0.
1, 3
Let u(z) be the third derivative of 1/24*z**4 - 1/60*z**5 + 0*z**3 + 6*z**2 + 0 + 0*z. Find s, given that u(s) = 0.
0, 1
Let r(p) be the second derivative of p**7/21 - p**5/5 + p**3/3 + 9*p. Factor r(z).
2*z*(z - 1)**2*(z + 1)**2
Let q(u) be the first derivative of 3*u**4/4 - 15*u**3 + 225*u**2/2 - 375*u - 28. Let q(x) = 0. What is x?
5
Let u = -116710/179 - -652. Let d = 726/895 + u. Factor -14/5*x + 6/5*x**2 + d.
2*(x - 2)*(3*x - 1)/5
Let h(x) be the first derivative of 3 + 0*x - 2/35*x**5 + 0*x**2 + 2/21*x**3 + 1/21*x**6 - 1/14*x**4. Factor h(d).
2*d**2*(d - 1)**2*(d + 1)/7
Let x(w) = 6*w**4 + 39*w**3 - 39*w**2 - 3. Let d(a) = -7*a**4 - 39*a**3 + 38*a**2 + 4. Let s(g) = -3*d(g) - 4*x(g). Factor s(n).
-3*n**2*(n - 1)*(n + 14)
Factor 6/5 - 3/5*c**2 + 3/5*c.
-3*(c - 2)*(c + 1)/5
Let q(f) be the third derivative of 0 + f**2 + 0*f + 1/15*f**3 + 1/50*f**5 + 1/15*f**4. Factor q(i).
2*(i + 1)*(3*i + 1)/5
Let x = 14 - 22. Let f be -2 - x*2/6. Factor 1/3 - f*s + 1/3*s**2.
(s - 1)**2/3
Suppose u + 5 = 2*u. Let y(x) be the third derivative of 0*x - 1/20*x**u + 0 + x**2 - 1/120*x**6 - 1/6*x**3 - 1/8*x**4. Factor y(l).
-(l + 1)**3
Let q(m) be the third derivative of m**6/300 - 2*m**5/75 + m**4/15 - 3*m**2. Factor q(n).
2*n*(n - 2)**2/5
Factor 1/9*i**3 + 0 - 2/9*i - 1/9*i**2.
i*(i - 2)*(i + 1)/9
Let y(c) be the first derivative of c**3/8 - 3*c**2/4 + 3*c/2 - 14. What is b in y(b) = 0?
2
Let h = -8 + 11. Factor 2*a**4 - 5*a**3 + a**h + 3*a - 2 + a.
2*(a - 1)**3*(a + 1)
Let y(u) be the second derivative of -u**7/168 + u**6/60 - u**5/80 - 5*u. Let y(h) = 0. What is h?
0, 1
Let d(p) be the first derivative of 0*p**3 + 3 + 1/2*p**6 + 3/4*p**4 + 0*p**2 + 0*p + 6/5*p**5. Find f such that d(f) = 0.
-1, 0
Let k(u) be the third derivative of -u**6/24 + 5*u**4/24 - u**2. Find i, given that k(i) = 0.
-1, 0, 1
Let c be 14/(-9) - (-2)/1. Let s(g) be the third derivative of -g**2 + 0*g - 1/30*g**5 + 0 - 1/180*g**6 + 0*g**4 + c*g**3. Factor s(p).
-2*(p - 1)*(p + 2)**2/3
Let p(g) = -18*g**3 + 10*g**2 + g. Let w(u) = 145*u**3 - 81*u**2 - 9*u. Let r(n) = 51*p(n) + 6*w(n). Factor r(j).
-3*j*(4*j - 1)**2
Let v(w) = w**3 - w**2 + w + 1. Let c(z) = -3*z**5 + 15*z**4 - 3*z**3 - 33*z**2 + 6*z + 6. Let q(r) = -c(r) + 6*v(r). Let q(u) = 0. Calculate u.
-1, 0, 3
Let n = -11 - -11. Factor -o + n*o**2 + 0*o**2 + 0*o + o**3.
o*(o - 1)*(o + 1)
Let c = -2/5 + 13/30. Let u(g) be the second derivative of 9/50*g**5 - c*g**4 + 0*g**2 + 0*g**3 - 8/25*g**6 - g + 16/105*g**7 + 0. Factor u(o).
2*o**2*(o - 1)*(4*o - 1)**2/5
Find v such that 0 - 1/4*v**5 + 0*v**4 - 1/4*v + 0*v**2 + 1/2*v**3 = 0.
-1, 0, 1
Suppose 3*j = 6*j. Let r(v) be the second derivative of j + 0*v**4 + 0*v**3 + 0*v**2 - 1/100*v**5 + 2*v. Factor r(w).
-w**3/5
Let s be 20/(-14) - 8*6/(-24). Factor -s*j**3 + 1/7 - 6/7*j + 9/7*j**2.
-(j - 1)**2*(4*j - 1)/7
Let p(f) be the third derivative of -f**6/20 + 7*f**5/15 + 7*f**4/12 - 10*f**3/3 + 32*f**2. Factor p(o).
-2*(o - 5)*(o + 1)*(3*o - 2)
Let n(b) = 5*b + 3. Let z be n(-2). Let d be -3 - 23/z - 0. Factor 0 - 2/7*c**5 + 2/7*c**4 + 2/7*c**3 - d*c**2 + 0*c.
-2*c**2*(c - 1)**2*(c + 1)/7
Let k(i) be the first derivative of -4*i**3/3 + 6*i**2 - 8*i - 8. Determine y, given that k(y) = 0.
1, 2
Let j(m) be the first derivative of -9/100*m**5 + 3/5*m**2 - 2/5*m**4 - 3/10*m**3 - 2 - 2*m. Let w(f) be the first derivative of j(f). Factor w(b).
-3*(b + 1)*(b + 2)*(3*b - 1)/5
Let b(u) be the second derivative of -u**5/40 - 5*u**4/12 + 20*u. Determine d, given that b(d) = 0.
-10, 0
Let c(f) be the first derivative of f**9/12096 - f**8/6720 - 4*f**3/3 + 10. Let z(x) be the third derivative of c(x). Factor z(g).
g**4*(g - 1)/4
Let n = 355 + -1413/4. Factor n*s**3 + 5/4*s + 1/2*s**4 + 1/4 + 9/4*s**2.
(s + 1)**3*(2*s + 1)/4
Let p(l) be the second derivative of -25*l**7/126 - 23*l**6/18 - 211*l**5/60 - 193*l**4/36 - 44*l**3/9 - 8*l**2/3 - 73*l. Determine x so that p(x) = 0.
-1, -4/5
Let s(g) be the third derivative of g**8/13440 - g**7/2520 + g**6/1440 + g**4/12 - 3*g**2. Let k(f) be the second derivative of s(f). Factor k(y).
y*(y - 1)**2/2
Let j(d) be the third derivative of 0 + 0*d**3 - 1/36*d**4 + 0*d - 1/360*d**6 - d**2 + 1/60*d**5. Factor j(u).
-u*(u - 2)*(u - 1)/3
Let f be -2 - (-3 - (0 + 0)). Factor -f - 5*m**2 - m + 3 + 4*m.
-(m - 1)*(5*m + 2)
Let -4/7 - 1/7*h**3 + 3/7*h**2 + 0*h = 0. Calculate h.
-1, 2
Suppose 3*y - 32 = 4*u - 0*y, -4*y = -5*u - 39. Let o be (8/(-54))/(u/66). Factor 0 - o*l + 2/3*l**3 - 2/9*l**4 + 0*l**2.
-2*l*(l - 2)**2*(l + 1)/9
Let u = -5 + 8. Let i(z) = 5*z + 6 - z + 3*z + 5*z**2. Let x(v) = -4*v**2 - 6*v - 5. Let q(n) = u*i(n) + 4*x(n). Suppose q(h) = 0. What is h?
-2, -1
Let a be (40/9)/((-4)/(-6)). Let 3*p**3 - a*p**2 - 2/3 + 13/3*p = 0. Calculate p.
2/9, 1
Let n(k) = 2*k**2 + 6*k + 1. Let j be n(-4). Let b = j - 9. Factor -1/5*l**3 + 0 + b*l**2 + 1/5*l.
-l*(l - 1)*(l + 1)/5
Let m(v) = -2*v**3 + 2*v. Suppose 4*u + 4*o = 0, 29 + 3 = 3*u - 5*o. Let q(k) = 3*k**3 - k**2 - 2*k. Let b(z) = u*m(z) + 3*q(z). Suppose b(w) = 0. What is w?
0, 1, 2
Let s be (-1)/(6/7 + -1). Factor -s*g + 0*g + g**2 + 9 + g.
(g - 3)**2
Find j such that 8*j**3 - 2*j**3 - 3*j**3 + j**4 + 2*j**2 = 0.
-2, -1, 0
Suppose -4*z = -4*y + 16, 5*z + y + 4*y - 20 = 0. Suppose 0 = 4*h - z*h. What is n in h*n**2 + n**4 - 2*n**2 - 4 + 5 = 0?
-1, 1
Let q = 32 - 17. Suppose 4*z = -2*b, 2*b - 7*b + 5*z = -q. Factor -2*x - 1/2*x**b - 2.
-(x + 2)**2/2
Let q(u) be the third derivative of 1/24*u**4 - 4*u**2 + 0*u - 1/60*u**5 + 0 - 1/24*u**3. Suppose q(j) = 0. What is j?
1/2
Let p(j) be the second derivative of 0 - 1/16*j**4 + 7*j - 1/4*j**2 - 7/24*j**3. Factor p(o).
-(o + 2)*(3*o + 1)/4
Suppose 2*a + 19 = -5*t + 4, 50 = 5*a - 5*t. Suppose -4*o - a = -13. Factor 2*q**2 + 3 - 1 - 4*q**o.
-2*(q - 1)*(q + 1)
Let s be (4 + -2)/((-2)/33). Let g = s - -133/4. Determine h, given that 1/2*h**4 - 1/4*h**5 - 1/2*h**2 + g*h + 0 + 0*h**3 = 0.
-1, 0, 1
Solve 1/2*u**4 + 2*u**5 - 2*u**2 + 0*u + 0 - 8*u**3 = 0 for u.
-2, -1/4, 0, 2
Let c(w) be the first derivative of -w**5/60 - w**4/9 - 2*w**3/9 + w - 3. Let y(o) be the first derivative of c(o). Find a, given that y(a) = 0.
-2, 0
Suppose -3*w + 0*w + 0*w = 0. Determine h, given that 0 + 1/2*h**3 + w*h**2 + 0*h = 0.
0
Let p(o) be the second derivative of 1/24*o**4 - 1/80*o**5 + 1/24*o**3 + 3*o + 0 - 1/4*o**2. Find m, given that p(m) = 0.
-1, 1, 2
Let b(o) be the first derivative of o**5/75 - 7*o**4/60 + o**3/5 - 3*o**2 - 5. Let y(f) be the second derivative of b(f). Factor y(n).
2*(n - 3)*(2*n - 1)/5
Factor -18/5*s**2 - 4/5 + 22/5*s.
-2*(s - 1)*(9*s - 2)/5
Let h(z) be the second derivative of z**4/8 - z**3 - 15*z**2/4 - 20*z. What is l in h(l) = 0?
-1, 5
Let u = -3 - -5. Factor u*l**2 - l**2 - l + 0*l**2 + 2*l.
l*(l + 1)
Let z(t) = -2*t + 2. Let m(w) = -5*w**3 + 2*w**2 - 1. Let f be m(1). Let b be z(f). Factor -3*r - 121*r**2 - 31*r - b*r - 4.
-(11*r + 2)**2
Let f(x) be the first derivative of -2*x**2 - x**4 + 0*x - 11 - 8/3*x**3. Solve f(c) = 0 for c.
-1, 0
Let i = 26 + -24. Let q be 15/(-4)*i/(-5). Solve -3/2*f + 0 + q*f**2 = 0.
0, 1
Suppose -2 - 2 = 4*u - 4*f, -2*u + 3*f - 7 = 0. Let h = -33/7 - -153/28. Factor -1/4*t**u - 1/4*t + h*t**2 - 1/2 + 1/4*t**3.
-(t - 2)*(t - 1)*(t + 1)**2/4
Let w be (-11)/(-77)*7/2. Factor w*k**2 + 0*k + 0 - 1/4*k**4 + 1/4*k**3.
-k**2*(k - 2)*(k + 1)/4
Let u(t) = 4*t**2 - 3*t + 4. Suppose 2*l + 5 + 5 = 0. Suppose -2*s = -0 + 8. Let b(z) = -3*z**2 + 2*z - 3. Let c(q) = l*b(q) + s*u(q). What is a in c(a) = 0?
1
What is s in 2*s**2 - 12*s**2 + 14*s**2 + 16*s**2 - 16*s**3 = 0?
0, 5/4
Let q = 5 - 2. Suppose -2*l = -q*l + 4. What is m in -6*m - l*m + 6*m + 6*m**3 - 2*m**2 = 0?
-2/3, 0, 1
Let f be (-10)/(-75) + 106/15. Factor 12/5 - 21/5*u**2 - f*u.
-3*(u + 2)*(7*u - 2)/5
Let g(h) = -h**3 - 15*h**2 + 18*h + 35. Let a be g(-16). Let u(n) = n**2 + 7*n - 5. Let c be u(-8). Factor 1/4*d**4