s**2 + 2 + 0*s. Factor n(i).
2*i*(i - 1)**3*(i + 1)/5
Let l be 3 + (3 - 4) - 0/(-2). Let a(j) be the first derivative of -1/2*j**2 - l + 1/3*j**3 + 0*j. Let a(d) = 0. What is d?
0, 1
Suppose 20 = -l + 2*l. Suppose l = 5*s - 10. Let -9*u**2 + s*u**2 - 9*u**2 + 3*u = 0. Calculate u.
0, 1/4
Let f(x) be the third derivative of x**5/330 + x**4/44 - 21*x**2. Determine a, given that f(a) = 0.
-3, 0
Let t(l) be the second derivative of -l**5/5 + 2*l**3/3 - 2*l. Determine c, given that t(c) = 0.
-1, 0, 1
Let 3/5*k**2 + 0*k - 4/5 + 1/5*k**3 = 0. What is k?
-2, 1
Let c(u) be the third derivative of -u**6/360 + u**5/90 + 7*u**2. Find l, given that c(l) = 0.
0, 2
Let j(g) be the third derivative of g**7/945 - g**6/108 + 4*g**5/135 - g**4/27 + 3*g**2. Factor j(u).
2*u*(u - 2)**2*(u - 1)/9
Suppose 2*z - 5*m + 2 = 0, -m - 2*m = 3*z - 39. Suppose -4*u + z*o + 20 = 4*o, -2*o = -3*u + 8. Factor p**4 - 2*p**2 + 3*p**2 + u*p**2 + 2*p**3.
p**2*(p + 1)**2
Suppose -q + 10 = 5*m, 2*m - 3*q - 4 = -0. Factor 6*r**3 - 3*r**3 + 7*r + 3 + 2*r + 9*r**m.
3*(r + 1)**3
Let b(r) be the second derivative of 0*r**2 - 1/21*r**3 + 1/70*r**5 + 0 - 1/42*r**4 + 1/105*r**6 - 6*r. Factor b(x).
2*x*(x - 1)*(x + 1)**2/7
Let d be 1/(-7)*(-28)/16. Factor 0*o**3 + d + 0*o + 1/4*o**4 - 1/2*o**2.
(o - 1)**2*(o + 1)**2/4
Let v(c) be the third derivative of -c**6/480 + c**5/80 - c**4/32 + c**3/24 + 22*c**2. Factor v(s).
-(s - 1)**3/4
Let f(z) = z**3 - z + 1. Suppose -3*m - 21 = 4*s, -6 = -0*s + 2*s. Let a(p) = p**4 + 6*p**3 + 3*p**2 - 2*p + 3. Let v(h) = m*f(h) + a(h). Solve v(n) = 0.
-1, 0
Let f(j) be the third derivative of j**7/70 - j**6/40 - 3*j**5/20 + j**4/8 + j**3 + 3*j**2. Solve f(s) = 0.
-1, 1, 2
Let v be (3 + 0 - 2)*35. Let z be (-74)/(-14) + (-10)/v. Factor -z*w**5 - w + 2*w**2 - 3*w**5 - 2*w**4 + 9*w**5.
w*(w - 1)**3*(w + 1)
Let m(s) be the third derivative of s**5/60 - s**3/6 - 4*s**2. Let b be m(1). Factor d**2 + 1/2*d + b + 1/2*d**3.
d*(d + 1)**2/2
Determine y, given that -20*y**2 - y**5 + y**4 + 2*y**5 + 3*y**4 - 5*y**5 + 8*y + 12*y**3 = 0.
-2, 0, 1
Let k(d) be the first derivative of -2/13*d**3 - 1 + 4/13*d - 1/13*d**2. Solve k(r) = 0.
-1, 2/3
Suppose 0 = 4*h + 4*r, 0 = -h + 2*r - 0 + 9. Let l be 1/(-3)*(-16)/6. Find d, given that l*d + 2/9 - 8/9*d**h - 2/9*d**2 = 0.
-1, -1/4, 1
Let s = -487 + 487. Factor v**2 - 4*v**3 + 7/4*v**4 + s*v + 0.
v**2*(v - 2)*(7*v - 2)/4
Let n(y) be the first derivative of 27*y**5/50 - 9*y**4/10 + 3*y**3/5 - y**2/5 - 2*y + 6. Let l(u) be the first derivative of n(u). Find k, given that l(k) = 0.
1/3
Find m, given that -1/2*m + 1/2*m**3 + m**2 - 1 = 0.
-2, -1, 1
Suppose -5*a = 3*u, 2*u - 2*a - 2*a = 0. Factor u*v + 2/11*v**3 + 0 + 0*v**2 + 2/11*v**4.
2*v**3*(v + 1)/11
Let o(c) be the first derivative of -c**7/210 + c**5/60 + c**2/2 - 6. Let q(v) be the second derivative of o(v). Factor q(k).
-k**2*(k - 1)*(k + 1)
Determine o, given that -3*o - 6*o**2 + 3*o - o + 5*o**2 = 0.
-1, 0
Let t(f) = -f**3 + f. Let p(b) = 2*b**4 - 14*b**3 + 2*b**2 + 18*b. Let x(a) = 2*p(a) - 36*t(a). Factor x(n).
4*n**2*(n + 1)**2
Let f(r) be the second derivative of -5*r**4/102 + 3*r**3/17 + 2*r**2/17 + 6*r. Factor f(g).
-2*(g - 2)*(5*g + 1)/17
Factor -3*u**4 - 9*u**2 - 2*u**4 - 21*u**3 - 10*u**5 - 10*u**4 + 7*u**5.
-3*u**2*(u + 1)**2*(u + 3)
Let r = -11 + 6. Let d(g) = 54*g**3 + 91*g**2 + 25*g - 17. Let s(l) = 27*l**3 + 45*l**2 + 12*l - 9. Let f(p) = r*s(p) + 3*d(p). What is t in f(t) = 0?
-1, 2/9
Let f(z) be the second derivative of -z**8/1680 + z**7/420 - z**6/360 - z**3/2 + 4*z. Let t(n) be the second derivative of f(n). Factor t(s).
-s**2*(s - 1)**2
Let b(d) be the second derivative of d**4/12 - d**3/2 + d**2 + 11*d. Solve b(m) = 0 for m.
1, 2
Let m(s) = -s**3 - s**2 + 4*s + 4. Let a be m(-2). Find t, given that 0 - 3/2*t**2 + 0*t**3 + 3/2*t**4 + a*t = 0.
-1, 0, 1
Let v(b) be the first derivative of -b**5/80 - b**4/96 + b**3/12 - b**2/2 - 1. Let q(r) be the second derivative of v(r). Determine c, given that q(c) = 0.
-1, 2/3
Let y(z) be the second derivative of 1/30*z**4 + 3/50*z**5 + 3*z + 1/105*z**7 + 0*z**3 + 0 + 0*z**2 + 1/25*z**6. Factor y(v).
2*v**2*(v + 1)**3/5
Let b(v) be the first derivative of 3/14*v**2 - 4 - 2/7*v - 1/21*v**3. Factor b(i).
-(i - 2)*(i - 1)/7
Let l = -148 + 1334/9. Suppose -2 = -2*a + 3*m - 8, -2*m = -a - 5. Factor -l*d**2 + 2/9*d**a + 0 + 0*d.
2*d**2*(d - 1)/9
Let j(p) be the third derivative of p**7/5040 + p**6/1440 + p**4/12 - 3*p**2. Let v(l) be the second derivative of j(l). Determine u so that v(u) = 0.
-1, 0
Let w(r) be the first derivative of -r**4/2 - 4*r**3/3 + r**2 + 4*r - 7. Factor w(q).
-2*(q - 1)*(q + 1)*(q + 2)
Let v(b) = 8*b**2 + 4*b - 2. Let r(h) = -9*h + 4 + 2 + h**2 + 3*h. Let u be r(4). Let t(s) = 17*s**2 + 8*s - 4. Let y(k) = u*t(k) + 5*v(k). Factor y(z).
2*(z + 1)*(3*z - 1)
Let t be ((-8)/(-9))/(((-24)/(-18))/2). Let x(b) be the second derivative of 2/3*b**4 + b**2 - t*b**3 + 2*b + 0. Determine r so that x(r) = 0.
1/2
Suppose -14 = -l + 4*j + 50, -2*j + 46 = l. Let a = -254/5 + l. Factor -6/5*g**2 + 2/5*g + a*g**3 - 2/5*g**4 + 0.
-2*g*(g - 1)**3/5
Factor 5/7*o - o**2 + 2/7.
-(o - 1)*(7*o + 2)/7
Suppose 6 = -3*s + 4*s - 2*u, 4*s + 3*u = 2. Let -3*q**2 + 3*q**2 + 0 - q**s + 1 = 0. What is q?
-1, 1
Factor 1/2*q**2 - 9/2 + 0*q.
(q - 3)*(q + 3)/2
Let j(r) be the third derivative of r**8/168 + r**7/105 - r**6/60 - r**5/30 + 16*r**2. Determine i, given that j(i) = 0.
-1, 0, 1
Let j(r) = 3*r**3 + 6*r**2 - 9*r. Let t(y) = 2*y**3 + 3*y**2 - 5*y. Let x(p) = -3*j(p) + 5*t(p). Factor x(a).
a*(a - 2)*(a - 1)
Factor -2/7*p**2 + 2/7*p + 0.
-2*p*(p - 1)/7
Find w such that -14/3*w**2 + 0 + 2/3*w + 4*w**3 = 0.
0, 1/6, 1
Let x(g) = -g**2 + 5*g. Let z be x(5). Suppose -4*f = -z - 12. Factor 2*o**2 - 2*o**3 + o - o**3 + 4*o**f.
o*(o + 1)**2
Suppose 0 = 157*p - 153*p - 20. Solve -l - 9/2*l**3 + 0 + 7/2*l**2 - 1/2*l**p + 5/2*l**4 = 0 for l.
0, 1, 2
Let r(f) be the second derivative of -f**4/28 + f**3/2 + f. Factor r(t).
-3*t*(t - 7)/7
Let f(s) be the third derivative of s**5/120 - s**3/3 - 13*s**2. What is r in f(r) = 0?
-2, 2
Let z(k) be the second derivative of -3*k**5/4 + 3*k**4 - 9*k**3/2 + 3*k**2 + 3*k. Find p such that z(p) = 0.
2/5, 1
Let u(x) = -5*x**2 + 2*x - 4. Let j(h) = h**2 - h + 1. Let w(z) = -z + 5. Let m be w(4). Let n(b) = m*u(b) + 4*j(b). Factor n(o).
-o*(o + 2)
Let x(h) be the first derivative of -h**4/4 + 2*h**3/9 + 18. Factor x(q).
-q**2*(3*q - 2)/3
Let i(x) = 4*x**2 - 2*x. Let p(w) = -17*w**2 + 8*w. Let y(f) = -18*i(f) - 4*p(f). Factor y(a).
-4*a*(a - 1)
Let 108/5 + 36/5*d**2 + 4/5*d**3 + 108/5*d = 0. Calculate d.
-3
Let y(v) = -85*v**4 + 1105*v**3 - 545*v**2 - 55*v - 55. Let w(l) = -6*l**4 + 79*l**3 - 39*l**2 - 4*l - 4. Let d(u) = 55*w(u) - 4*y(u). Factor d(i).
5*i**2*(i - 7)*(2*i - 1)
Let q = -14 + 11. Let g be q + (45/6 - 2). Factor -1/2*o**2 + 0 - 4*o**3 + o - g*o**4.
-o*(o + 1)**2*(5*o - 2)/2
Let q = -3/23 + 113/161. Find j such that -2/7*j**3 + 6/7*j**4 - q*j**2 + 0 + 0*j = 0.
-2/3, 0, 1
Let i be (-180)/(-27) + 1/3. Determine n so that -i*n**3 + 43*n**2 - 5*n + 1 - 16*n**5 + 56*n**4 - 66*n**3 - 6*n = 0.
1/4, 1
Let j = 359/2 + -178. Solve -3*b + j + 3/2*b**2 = 0.
1
Let m(o) be the second derivative of -7/90*o**6 - 1/36*o**4 + 0*o**2 + o + 1/42*o**7 + 0 + 0*o**3 + 1/12*o**5. Let m(s) = 0. Calculate s.
0, 1/3, 1
Let u(v) = -8*v**4 - 11*v**3 - v**2 + 2*v. Let o(n) = -15*n**4 - 21*n**3 - 2*n**2 + 4*n. Let s(k) = 3*o(k) - 5*u(k). Solve s(m) = 0 for m.
-1, 0, 2/5
Suppose 8 = k + 3*k. Determine l so that k*l - 4*l + l**3 + 2*l = 0.
0
Let s(o) = -2*o**2 + 8*o - 3. Let r be s(3). Let h be 7/(35/36) - r. Factor -27/5*c**2 + 6/5 - h*c.
-3*(c + 1)*(9*c - 2)/5
Let r(v) be the first derivative of 4/15*v**3 - 4 - 1/15*v**6 + 1/5*v**2 + 0*v**4 + 0*v - 4/25*v**5. Factor r(g).
-2*g*(g - 1)*(g + 1)**3/5
Let x(a) be the second derivative of 1/5*a**5 - 1/2*a**4 + 1/3*a**3 + 0*a**2 + 0 - 4*a. Factor x(n).
2*n*(n - 1)*(2*n - 1)
Let x(i) be the second derivative of i**4/20 - 3*i**2/10 - i. Solve x(j) = 0.
-1, 1
Let t be (-3)/(-9)*4/8. Find c, given that 0*c - 1/3*c**3 - t*c**4 + 0 - 1/6*c**2 = 0.
-1, 0
Let m(q) be the third derivative of q**7/1260 - q**6/180 - 11*q**4/24 + 7*q**2. Let g(r) be the second derivative of m(r). Find w, given tha