1*z**5/15 + z**4 + 4*z**2. Let a(n) = 0. Calculate n.
-1, 0, 2/5, 3
Let x = -23 + 14. Let g be (-4)/x - (-4)/18. Factor 0 + 1/3*a + 1/3*a**3 - g*a**2.
a*(a - 1)**2/3
Solve 35*z**2 - 50*z**2 + 6 + 15*z - 3*z**4 - 3*z**3 + 24*z**2 = 0.
-1, 2
Let i = 12 + -7. Let v = 5 - i. Determine r, given that v*r**2 + 4*r**4 - 8*r**2 - 6*r**3 + r + 2*r**5 + 2*r + 5*r = 0.
-2, 0, 1
Let h(c) be the second derivative of -c**7/14 + c**6/10 + 3*c**5/10 + c - 14. Factor h(w).
-3*w**3*(w - 2)*(w + 1)
Let b(x) = -3*x - 12. Let i be b(-5). Suppose -7 = -2*z + i*n, -4*z - 6*n + 2*n + 4 = 0. Solve 0*c + 0*c**z + 0 + 2/5*c**3 - 2/5*c**4 = 0.
0, 1
Let n = 8 - 8. Let 0*q**3 + n*q**3 - q**3 + 4*q**4 + 2*q**5 + 3*q**3 = 0. Calculate q.
-1, 0
Let t = -17 + 7. Let f be t/(-2) - 5/5. Suppose 0*o + 1/3*o**f + 0 - 1/3*o**3 + 0*o**2 = 0. What is o?
0, 1
Let u(q) = -q + 15. Let h be 3/9 + 1/(-3). Let k be u(h). Determine l so that -2*l**2 - 15 + k - 2*l = 0.
-1, 0
Suppose 0 = 2*o + 96 - 100. Determine h, given that 0 + 1/5*h**4 + 0*h + 3/5*h**3 + 2/5*h**o = 0.
-2, -1, 0
Let t = 1/23 + 89/69. Solve 10/3*j**2 + 0 + 2*j**3 + t*j = 0.
-1, -2/3, 0
Let x be (-3 - -4)/((-2)/4). Let d be (-15)/6*x*2. Factor -2*g**3 + 4*g**3 + g**3 - d*g**5 - 12*g**4 + g**5 + 6*g**2.
-3*g**2*(g + 1)**2*(3*g - 2)
Let o = -82 - -87. Let h(i) be the first derivative of -1/2*i**2 + 3 + 1/2*i + 1/4*i**4 - 1/10*i**o + 0*i**3. What is p in h(p) = 0?
-1, 1
Let k = 36 - 34. Suppose 0*c - 8 = -2*c. Determine w so that -k*w**4 + 5*w**3 - c*w**3 + 4*w**4 + w**5 = 0.
-1, 0
Let 2/9*j**2 + 2/9*j**4 - 4/9 - 2/3*j + 2/3*j**3 = 0. Calculate j.
-2, -1, 1
Let g(a) be the first derivative of 3*a**4/4 - 3*a**2/2 - 5. Solve g(z) = 0.
-1, 0, 1
Let k(b) be the third derivative of -1/60*b**5 + 0*b**3 + 0 + 3*b**2 + 0*b + 1/240*b**6 + 1/48*b**4. Factor k(j).
j*(j - 1)**2/2
Let y(o) be the first derivative of o**3/27 - o**2/18 - 5. Factor y(p).
p*(p - 1)/9
Let q(k) be the first derivative of 5 + 1/5*k**2 + 0*k + 1/20*k**4 + 1/5*k**3. Factor q(o).
o*(o + 1)*(o + 2)/5
Let c(l) = -3*l**4 - 10*l**3 - 2*l**2 + 33*l - 18. Let u(h) = h**3 - h**2. Let r(a) = -c(a) + 3*u(a). Factor r(q).
(q - 1)*(q + 3)**2*(3*q - 2)
Let t(v) = v**3 + 12*v**2 + 13*v + 16. Let x be t(-11). Let y be (-4)/10*(5 + x). Find o, given that 4/5*o**2 + 4/5*o**3 - 2/5*o - y*o**4 - 2/5 - 2/5*o**5 = 0.
-1, 1
Let r(w) be the first derivative of -w + 1 + 1/18*w**4 + 0*w**2 - 1/9*w**3. Let o(s) be the first derivative of r(s). Find y, given that o(y) = 0.
0, 1
Let z(b) = -6*b**2 - 12*b + 8. Let p(s) = -4*s**2 - 8*s + 5. Let k(m) = 8*p(m) - 5*z(m). Find o, given that k(o) = 0.
-2, 0
Let h be ((-1)/(-32))/((-4)/8). Let j = h + 19/48. Find n, given that -1/3*n**2 + 0*n + j = 0.
-1, 1
Let l(y) = y**3 - 8*y**2 + 8*y - 5. Let h be l(7). Factor 7*k**h + k + 2*k + k**3 - 11*k**2.
k*(k - 3)*(k - 1)
Suppose 3*y - g = g - 2, 0 = -3*y + 4*g - 10. Suppose y*c - 12 = -2*c. Factor -2*d + 3*d**3 - c*d**3 - d**2 + 2*d**3 + 1.
(d - 1)*(d + 1)*(2*d - 1)
Let d(v) = v**3 + 29*v**2 + 30*v + 57. Let p be d(-28). Factor j + p + 1/4*j**2.
(j + 2)**2/4
Let y(j) be the first derivative of j**5/5 + 3*j**4/4 - 5*j**3/3 - 3*j**2/2 + 4*j + 29. What is i in y(i) = 0?
-4, -1, 1
Let v(s) be the first derivative of 2*s**7/315 - s**6/180 - s**5/90 + s**2/2 - 4. Let k(d) be the second derivative of v(d). Factor k(o).
2*o**2*(o - 1)*(2*o + 1)/3
Let q(x) = 9*x**3 - 32*x**2 + 81*x - 43. Let v(c) = -10*c**3 + 32*c**2 - 82*c + 42. Let g(w) = -6*q(w) - 5*v(w). Suppose g(a) = 0. Calculate a.
1, 3, 4
Suppose d + 4*r = -20, r - 5*r = -2*d + 20. Let h(z) be the second derivative of -3*z - 2*z**2 + 2/3*z**3 + 1/4*z**4 + d. Factor h(b).
(b + 2)*(3*b - 2)
Let y(a) be the first derivative of -a**6/360 + a**5/60 + 5*a**3/3 - 2. Let q(b) be the third derivative of y(b). Solve q(x) = 0 for x.
0, 2
Let c(f) be the second derivative of 1/2*f**3 + 0*f**2 + 3/80*f**5 + 0 + 1/4*f**4 + 2*f. Determine w, given that c(w) = 0.
-2, 0
Let f(r) be the first derivative of r**5/5 + r**4/4 - 2*r**3/3 - 21. Factor f(y).
y**2*(y - 1)*(y + 2)
Let b = 4 + -1. Factor 3*z**4 - z**b - 5*z**4 - z**5 + 0*z**4.
-z**3*(z + 1)**2
Let a(p) be the second derivative of -p**9/1764 + p**8/2940 + p**7/735 + 2*p**3/3 + 5*p. Let s(j) be the second derivative of a(j). Factor s(l).
-4*l**3*(l - 1)*(3*l + 2)/7
Let m(s) be the first derivative of s**5/150 - s**4/60 - s**2 + 2. Let w(x) be the second derivative of m(x). Find t, given that w(t) = 0.
0, 1
Let n(c) be the first derivative of -24/5*c**5 + 0*c**2 + 4 - 9/2*c**4 - 4/3*c**3 + 0*c - 4/3*c**6. What is y in n(y) = 0?
-2, -1/2, 0
Let b(o) be the first derivative of o**5/20 - o**4/4 + o**3/2 + o**2 - 1. Let j(w) be the second derivative of b(w). Factor j(s).
3*(s - 1)**2
Let -4*z**5 - 15*z**2 - 17*z**2 + 16*z + 0*z**5 + 17*z**3 + 8*z**4 - 5*z**3 = 0. What is z?
-2, 0, 1, 2
Let a be 3/1 - (-13 + 13). Suppose 5*d + 0*d - 50 = 0. Find v, given that a*v**5 + 3*v - 11*v**4 - 1/3 - d*v**2 + 46/3*v**3 = 0.
1/3, 1
Let a(o) be the third derivative of -o**7/945 + o**6/540 + 2*o**5/135 - o**4/27 - 30*o**2 + 1. Factor a(h).
-2*h*(h - 2)*(h - 1)*(h + 2)/9
Solve 27*b + 46*b**3 + 29*b**3 + 122*b**2 - 32*b**2 = 0.
-3/5, 0
Let j(b) be the first derivative of 3 - b**4 - 8*b + 0 + 6*b**2 + 3 - 7. Solve j(c) = 0 for c.
-2, 1
Let g = 5342/573 - -2/191. Find s, given that -8/3 + 20/3*s + 12*s**2 - 20/3*s**3 - g*s**4 = 0.
-1, 2/7, 1
Suppose 2*h + 4*g - 318 = 0, -h = h - 2*g - 342. Let m = h + -1835/11. Factor 2/11*c**4 + 0*c**3 + 0*c + m - 4/11*c**2.
2*(c - 1)**2*(c + 1)**2/11
Let q = -475/42 - -73/6. Find m such that 2/7 + 6/7*m - 2/7*m**5 - q*m**4 + 4/7*m**2 - 4/7*m**3 = 0.
-1, 1
Let w(z) be the second derivative of z**6/15 - z**5/5 + z**4/6 + 4*z. Factor w(c).
2*c**2*(c - 1)**2
Let -1 - 10*s + 5 - 3*s**2 + 8*s**2 + 1 = 0. Calculate s.
1
Let h(p) = 16*p**2 - 58*p + 106. Let n(a) = -5*a**2 + 19*a - 35. Let s(u) = -3*h(u) - 10*n(u). Suppose s(l) = 0. Calculate l.
4
Let -16*d - 66*d**2 - d**3 + 4*d**3 + 16 + 62*d**2 + d**3 = 0. Calculate d.
-2, 1, 2
Factor 0*v - 1/3*v**2 - 1/3*v**3 + 0.
-v**2*(v + 1)/3
Let c = -1 + 5. Factor -4*i**4 + 0*i**4 - i**2 + 2*i**c + 3*i**3.
-i**2*(i - 1)*(2*i - 1)
Factor 8/13*x**4 + 2/13*x + 18/13*x**2 + 22/13*x**3 - 2/13.
2*(x + 1)**3*(4*x - 1)/13
Let b(n) be the first derivative of -2/7*n**3 + 3 + 3/14*n**2 + 6/7*n - 3/28*n**4. Find q such that b(q) = 0.
-2, -1, 1
Solve 0*j - 1/3*j**3 + 1/3*j**2 + 0 = 0 for j.
0, 1
Let g(r) be the third derivative of r**8/4200 - r**7/1050 + 2*r**3/3 - 3*r**2. Let s(b) be the first derivative of g(b). Factor s(i).
2*i**3*(i - 2)/5
Let o(h) be the second derivative of -h**6/10 + 3*h**5/5 + 11*h**4/4 + 3*h**3 - 29*h. Determine q, given that o(q) = 0.
-1, 0, 6
Let x be 6/(-5)*(-195)/52. Factor -3/2*p**2 + x*p - 3.
-3*(p - 2)*(p - 1)/2
Let q(p) be the first derivative of p**6/2520 - p**5/210 + p**4/42 - 7*p**3/3 - 2. Let u(x) be the third derivative of q(x). Suppose u(t) = 0. What is t?
2
Let z(s) = -3*s**2 - 2*s - 4. Let p(a) = 6*a**2 + 3*a + 6. Let l(r) = -r**2 - r - 1. Let w(n) = -2*l(n) - p(n). Let b(j) = -2*w(j) + 3*z(j). Factor b(i).
-(i + 2)**2
Let v(s) = s**3 + s**2 - s - 1. Let q(c) = 4*c**3 + 4*c**2 - 3*c - 3. Let g(t) = q(t) - 3*v(t). Factor g(f).
f**2*(f + 1)
Let c(g) be the first derivative of g**6/12 + 3*g**5/10 + g**4/4 + 18. Factor c(p).
p**3*(p + 1)*(p + 2)/2
Let o(k) be the third derivative of -k**8/840 + 4*k**7/525 + k**6/60 - 14*k**2. Factor o(b).
-2*b**3*(b - 5)*(b + 1)/5
Let r(n) = 8*n**2 + 4*n - 1. Let m(l) = -l**2 + l - 1. Let i(q) = 4*m(q) + 4*r(q). Factor i(u).
4*(u + 1)*(7*u - 2)
Let z = -1 + 7. Let z*v - 16*v**2 - 11*v - 4*v**3 - 7*v = 0. Calculate v.
-3, -1, 0
Let x(n) be the first derivative of n**6/10 + 3*n**5/20 - n**4/4 - n**3/2 + 2*n - 2. Let r(u) be the first derivative of x(u). Factor r(h).
3*h*(h - 1)*(h + 1)**2
Let a(r) be the first derivative of -9*r**5/5 + 3*r**4/4 + 5*r**3 - 3*r**2/2 - 6*r + 12. Solve a(y) = 0.
-1, -2/3, 1
What is c in 0 + 1/3*c**3 - 2/3*c + 1/3*c**2 = 0?
-2, 0, 1
Let s be (2/5)/((-5)/(-25)). Let d(r) be the first derivative of s + 3*r - 9*r + 6*r**3 + r**3 + 18*r**2 - 6*r. Factor d(t).
3*(t + 2)*(7*t - 2)
Let y(l) be the second derivative of -l**4/30 - 2*l**3/45 + 6*l. Factor y(h).
-2*h*(3*h + 2)/15
Let n(p) be the 