n - 1)**2/17
Let d(u) = -u**3 + 5*u**2 - 3*u - 4. Let l be d(4). Suppose l*c = -c. Solve c + p**3 - 3 + 3 - p**5 = 0 for p.
-1, 0, 1
Let c(q) = 2*q**2 + 4*q - 10. Let m(z) = z**2 + 4*z - 11. Let j(x) = -3*c(x) + 2*m(x). Suppose j(l) = 0. Calculate l.
-2, 1
Let q(j) be the third derivative of -j**7/210 - j**6/20 - j**5/5 - j**4/3 - 5*j**2. Factor q(y).
-y*(y + 2)**3
Let y(l) be the first derivative of 7*l**4/12 + 2*l**3/9 - 6. Solve y(s) = 0 for s.
-2/7, 0
Determine s so that -125/4*s**2 - 20 - 50*s = 0.
-4/5
Let h = 1096/5 - 218. Factor 4/5*d + h*d**2 + 2/15.
2*(3*d + 1)**2/15
Let x(n) be the first derivative of 1 + 7/2*n**2 + 8/3*n**3 - 2/5*n**5 - 1/6*n**6 + 1/2*n**4 + 2*n. Find t such that x(t) = 0.
-1, 2
Let r be (6/(2/1))/((-26)/(-26)). Factor 5/2 - 5/4*a + 5/4*a**4 - 15/4*a**2 + 5/4*a**r.
5*(a - 1)**2*(a + 1)*(a + 2)/4
Let s(h) = -4*h**5 - 5*h**4 + h**3 + 3*h**2 + h + 1. Let f(n) = -n**5 - n**4 - n**3 - n**2 + 1. Let x(o) = -4*f(o) + 4*s(o). Solve x(i) = 0.
-1, -1/3, 0, 1
Let v(u) be the third derivative of 0*u**4 + 0*u**3 - 2*u**2 + 0 - 1/450*u**5 + 0*u + 1/900*u**6. Factor v(t).
2*t**2*(t - 1)/15
Let b(j) be the first derivative of 2*j**3/51 + 4*j**2/17 + 6*j/17 + 1. Solve b(k) = 0.
-3, -1
Solve -2/3 - 4/3*p - 2/3*p**2 = 0.
-1
Let m(u) be the second derivative of -u**5/80 + 5*u**2/2 + u. Let n(f) be the first derivative of m(f). Factor n(d).
-3*d**2/4
Let u(g) be the first derivative of -g**4/2 - 2*g**3/3 - 9. Let u(a) = 0. Calculate a.
-1, 0
Let l(o) be the third derivative of 0*o**5 + 0 - 1/30*o**6 + 0*o**3 - 1/336*o**8 + 0*o + 5*o**2 + 0*o**4 + 2/105*o**7. Solve l(f) = 0 for f.
0, 2
Let a(h) = h - 8. Let o(y) = -y + 7. Let b(r) = -4*a(r) - 5*o(r). Let g be b(5). Determine p so that -3*p**2 + 0*p**g - 3*p**3 + 6*p**3 + p - p**4 = 0.
0, 1
Let f be -5*4/10*-1. Let a = 2356/7 + -336. Find b such that -a - 2/7*b + 2/7*b**f = 0.
-1, 2
Suppose -3*q + 4*m + 7 = 0, 3 + 3 = 3*m. Factor 0*o**3 + 4/5*o**2 + 2/5*o + 0 - 4/5*o**4 - 2/5*o**q.
-2*o*(o - 1)*(o + 1)**3/5
Solve -26 - 25*u**3 + 90*u**2 + 5 - 11 - 35*u + 2 = 0 for u.
-2/5, 1, 3
Let s(y) = -y**3 + 2 - 5*y**2 + 10*y + 1 - 4*y. Let u be s(-6). Factor 0*l**u - 3*l - 6*l**3 - 1 - 3*l**2 + 5*l**3.
-(l + 1)**3
Let k(t) = -t - 1. Let n be k(-4). Suppose -1 = 2*l - x, -4*l = 2*x + 2*x - 4. Solve 0 + 2/5*m**n - 2/5*m + l*m**2 = 0.
-1, 0, 1
Find r, given that -2/5 + 9/5*r**3 - 6/5*r**5 - 3/5*r + 7/5*r**2 - r**4 = 0.
-1, -1/2, 2/3, 1
Let c(x) be the third derivative of x**5/90 - x**4/18 - 8*x**3/9 - 12*x**2. What is i in c(i) = 0?
-2, 4
Let x(j) be the second derivative of -j**5/30 + j**4/18 + 8*j. Let x(c) = 0. Calculate c.
0, 1
Let v(r) be the third derivative of -r**5/75 - 4*r**4/15 - 32*r**3/15 - 6*r**2. Factor v(u).
-4*(u + 4)**2/5
Let t(w) be the first derivative of 2*w**5/45 - w**4/18 - 4*w**3/27 + 14. Factor t(f).
2*f**2*(f - 2)*(f + 1)/9
Let z = 2896/3 + -965. Let -1 - z*q**2 - 5/3*q + 1/3*q**3 = 0. Calculate q.
-1, 3
Suppose -53 = 3*f + 4*a, 2*f + a = 3*f + 13. Let r = -13 - f. Factor 0 + 0*s**3 + 2/3*s**4 - 2/3*s**r + 0*s.
2*s**2*(s - 1)*(s + 1)/3
Let y(l) be the third derivative of -l**7/1470 - l**6/168 - l**5/84 + 5*l**4/168 + l**3/7 + 43*l**2. Let y(v) = 0. What is v?
-3, -2, -1, 1
Let s(k) = -k**3 + 8*k**2 - 8*k + 5. Let v be s(7). Let l(b) = 2*b**2 + 2*b. Let a(y) = y + 1. Let o(r) = v*a(r) - l(r). Find u such that o(u) = 0.
-1
Factor 0*n**2 - 6/5*n + 2/5*n**3 + 4/5.
2*(n - 1)**2*(n + 2)/5
Suppose -2*n = 0, 4*n = 5*x - 2*x - 6. Determine s, given that -4*s**2 + 4*s**3 + 3*s**2 + s**x + 8*s**2 = 0.
-2, 0
Let w(q) = q**3 - 47*q**2 + 2. Let t be w(47). Factor -2/3*z + 1/3*z**t + 1/3.
(z - 1)**2/3
Let n(q) be the first derivative of 1/18*q**4 - 1/18*q**3 - 1/60*q**5 + q + 0*q**2 - 2. Let r(i) be the first derivative of n(i). Suppose r(w) = 0. What is w?
0, 1
Let u(w) = 4*w**2 - 5 - 4*w**2 + 6*w - 5*w**2. Let s(d) = 11*d**2 - 12*d + 9. Let b(g) = 4*s(g) + 9*u(g). Factor b(z).
-(z - 3)**2
Let 12*w**5 - 212*w**2 - 17*w**3 + 68*w + 144*w**4 - 44*w**5 + 100*w - 97*w**3 + 144 = 0. Calculate w.
-3/4, 2
Let y be (6 - (-117)/(-18))/((-1)/6). Let 0 - 11/8*p**2 - 17/8*p**4 - 5/8*p**5 - 21/8*p**y - 1/4*p = 0. What is p?
-1, -2/5, 0
Let x(z) be the first derivative of z**4/2 - z**2 + 5. Factor x(v).
2*v*(v - 1)*(v + 1)
Let x(z) = 3*z**3 + 5*z**2 - 8*z. Let g(r) = -r**2 + r. Let i(j) = 5*g(j) + x(j). Factor i(q).
3*q*(q - 1)*(q + 1)
Solve 2*h**4 - 12*h + 2*h**2 + 12*h**3 - 8*h**2 - 7*h**4 + 9 + 2*h**4 = 0 for h.
-1, 1, 3
Let q be -4 - (35 - 0)/(-5). Factor 0 + 2/3*b + 7/3*b**q - 3*b**2.
b*(b - 1)*(7*b - 2)/3
Suppose 0*r + m = -2*r + 9, -2*r + 18 = 4*m. Factor 3*f**4 - 7*f**4 - 1 + f**4 + 6*f - 6*f**r + 4.
-3*(f - 1)*(f + 1)**3
Let y(b) be the third derivative of b**5/210 + b**4/42 - 5*b**2. Determine j so that y(j) = 0.
-2, 0
Let t(r) be the second derivative of r**7/84 - r**6/30 + r**5/40 + 7*r. Let t(h) = 0. What is h?
0, 1
Let 0 + 2*i**3 + 18/11*i**2 - 20/11*i - 2/11*i**5 - 18/11*i**4 = 0. What is i?
-10, -1, 0, 1
Factor 0*v + 3 - 7*v**2 - 8*v - 16*v**3 - 7 + 35*v**2.
-4*(v - 1)**2*(4*v + 1)
Let l(g) be the third derivative of -g**6/24 - g**5/6 - 5*g**4/24 + 3*g**2. Let l(v) = 0. What is v?
-1, 0
Let v(y) be the first derivative of -y**6/210 + y**5/210 - y**2/2 - 2. Let w(u) be the second derivative of v(u). Find o such that w(o) = 0.
0, 1/2
Let j = -309 - -534. Suppose 21*i**2 - i**3 + 111*i**2 - j*i + 54 - 12*i**3 - 8*i**3 = 0. What is i?
2/7, 3
Let u be (-135)/54*(-8)/10. Let m(n) be the first derivative of -n + 0*n**4 - 1/5*n**5 + 0*n**2 + 2/3*n**3 + u. Factor m(z).
-(z - 1)**2*(z + 1)**2
Factor 8/3*w + 0 + 2/3*w**2.
2*w*(w + 4)/3
Let n(d) = -d**3 + 5*d**2 + 5*d + 8. Let g be n(6). Factor -i**2 + 2*i**4 - i + 0*i**3 - g*i**2 - 3*i**4 - 3*i**3.
-i*(i + 1)**3
Factor 1/2*g**4 - 1/2*g**2 + 1/2*g**3 + 0 - 1/2*g**5 + 0*g.
-g**2*(g - 1)**2*(g + 1)/2
Let w(k) be the first derivative of -k**4/30 + 9*k - 1. Let i(a) be the first derivative of w(a). Find j such that i(j) = 0.
0
Factor 2 + z**2 - 16*z + 14*z - 5 + 0*z**2.
(z - 3)*(z + 1)
Let a = 4 + 0. Let j(s) = -s**2 - 16*s + 4. Let m be j(-16). Let -2*l**2 - 2*l**4 + l**a + 3*l**m = 0. Calculate l.
-1, 0, 1
Let p be ((-12)/(-8))/(9/12). Let 4*m**2 + m**p - 43*m**4 + m + 46*m**4 + 7*m**3 = 0. Calculate m.
-1, -1/3, 0
Let l(b) = 2*b**2 - 26*b + 56. Let y(g) = 2*g**2 - 25*g + 55. Let v(r) = -5*l(r) + 6*y(r). Factor v(f).
2*(f - 5)**2
Let n(d) be the third derivative of -d**6/540 - 2*d**5/135 - 5*d**4/108 - 2*d**3/27 - 13*d**2. Suppose n(s) = 0. Calculate s.
-2, -1
Suppose 4*b = 4*r + 22 - 2, -4*r - b = 25. Let k = r - -8. Solve -4*p**3 + 3*p**5 + 4*p**2 + 2 + 6*p - k*p**4 - 5*p**5 - 4*p**4 = 0.
-1, 1
Factor -2/3*p**2 + 4/3*p - 2/3.
-2*(p - 1)**2/3
Factor 8*f**2 + 0*f - 2*f - 14*f**2 + 7*f**2.
f*(f - 2)
Let c(q) be the second derivative of -q**4/72 - q**3/18 + 5*q. Factor c(l).
-l*(l + 2)/6
Let c(y) be the first derivative of -y**5/20 + 3*y**4/16 - y**3/12 - 3*y**2/8 + y/2 + 24. Solve c(z) = 0.
-1, 1, 2
Let l(g) = 5*g**3 - 4*g**2 - 5*g + 4. Let i(w) = -w**3 + w**2 + w - 1. Let c(z) = -12*i(z) - 3*l(z). Factor c(s).
-3*s*(s - 1)*(s + 1)
Find n, given that 2 - 2/3*n**4 - 28/9*n**2 - 16/3*n + 32/9*n**3 = 0.
-1, 1/3, 3
Let n be 473/33 - (-1)/(-3). Let d be (4/n)/(2/8). Find u, given that 2/7*u**5 + 8/7*u**3 + 4/7*u**2 - 10/7*u - d*u**4 + 4/7 = 0.
-1, 1, 2
Factor -2/7*o**3 + 6/7*o + 0*o**2 - 4/7.
-2*(o - 1)**2*(o + 2)/7
Factor -8*w**2 + 10*w - 2*w + 7*w**2 + 5*w**2.
4*w*(w + 2)
Let y be -1*((-16)/4 - 2). Let l = 9 - y. Factor 2/5*q**2 + 2/5*q**l + 0*q + 0.
2*q**2*(q + 1)/5
Let c(l) = -5*l**3 + 2*l**2 - 13*l - 6. Let n(y) = y**3 + y**2 + y. Let b(p) = -c(p) - 4*n(p). Let q(j) be the first derivative of b(j). Factor q(m).
3*(m - 3)*(m - 1)
Solve 6*s**4 - s**3 + s + 0*s**2 + s**2 - 15*s**4 + 8*s**4 = 0.
-1, 0, 1
Let o(a) be the first derivative of a**4/12 + 4*a**3/3 + 8*a**2 + 64*a/3 - 13. Factor o(q).
(q + 4)**3/3
Let q be -6*(-1)/((-9)/150). Let u = q + 502/5. Let -u*k**3 - 2/5*k**4 + 2/5*k + 0 + 2/5*k**2 = 0. What is k?
-1, 0, 1
Factor -3/4*b**3 - 1/2 - 9/4*b - 5/2*b**2.
-(b + 1)*(b + 2)*(3*b + 1)/4
Let t = 53 - 35. Factor -4 - 14*n**3 - n - 3*n + t*n**2 + 4.
-2*n*(n - 1)*(7*n - 2)
Factor -22/5*w - 18/5*w**2 - 4/5.
-2*(w + 1)*(9*w + 2)/5
Let -2/11 + 4/11*z*