-2*h**2 + 8*h + 5. Let c be n(4). Let j(y) be the second derivative of 3/16*y**4 + 3/8*y**3 + 3/80*y**c + 3/8*y**2 + 0 - y. Factor j(q).
3*(q + 1)**3/4
Let p(h) be the first derivative of 5*h**3/6 + 15*h**2/4 - 10*h + 2. What is t in p(t) = 0?
-4, 1
Let s(x) be the third derivative of -x**5/510 - x**4/102 - x**3/51 + 6*x**2. Factor s(f).
-2*(f + 1)**2/17
Let j be -6 - (-36)/(-3)*(-2)/4. Let 1/6*q**5 + 0 + j*q**4 - 1/3*q**3 + 1/6*q + 0*q**2 = 0. What is q?
-1, 0, 1
What is n in -2/5*n + 0 + 4/5*n**2 - 2/5*n**3 = 0?
0, 1
Let j(w) = 5*w**2 - 5*w - 3. Let b(k) = -27*k**2 + 23*k - 9*k**2 + 13*k + 22. Let g(x) = 6*b(x) + 44*j(x). Factor g(m).
4*m*(m - 1)
Let w = 5 - 2. Suppose w = 5*g - 7. Factor q**4 + 2*q**2 - q**g - 2*q**4.
-q**2*(q - 1)*(q + 1)
Let i(y) be the third derivative of 0*y**3 + 1/1050*y**7 + 6*y**2 + 0*y - 1/300*y**6 + 0*y**4 + 0 + 1/300*y**5. Factor i(a).
a**2*(a - 1)**2/5
Let s(x) be the second derivative of -2*x + 1/2*x**3 + 0 - 1/6*x**4 - x**2. Let g(v) = -6*v**2 + 10*v - 7. Let q(y) = -2*g(y) + 7*s(y). Factor q(j).
-j*(2*j - 1)
Let -1/6*q**4 - 1/6*q**3 + 0*q + 0 + 1/3*q**2 = 0. What is q?
-2, 0, 1
Let y(d) be the first derivative of 12*d**5/5 + 6*d**4 - 15*d**3/2 + 3*d**2 + 4*d + 5. Let k(i) be the first derivative of y(i). Factor k(h).
3*(h + 2)*(4*h - 1)**2
Let j(r) be the second derivative of 1/15*r**6 + 0*r**4 - r - 2/3*r**3 + 1/5*r**5 + 0 - r**2. Suppose j(u) = 0. Calculate u.
-1, 1
Let i(k) be the second derivative of 1/48*k**4 + 0*k**3 + 1/2*k**2 + k + 0 + 1/240*k**5. Let c(o) be the first derivative of i(o). Factor c(z).
z*(z + 2)/4
Factor 2/7*n**2 - 4/7 + 2/7*n.
2*(n - 1)*(n + 2)/7
Let b be 3*(20/(-6) + 24/6). Let -2/5*o**b + 0*o + 2/5 = 0. What is o?
-1, 1
Let a(i) be the first derivative of -i**6/135 - i**5/45 + 2*i**3/27 + i**2/9 - 2*i - 2. Let g(b) be the first derivative of a(b). Factor g(k).
-2*(k - 1)*(k + 1)**3/9
Let t(r) be the second derivative of -4*r**2 - 1/3*r**4 + 0 + 2*r**3 + 2*r. Let t(u) = 0. Calculate u.
1, 2
Suppose 2*d - 5*n = 12 + 2, 2 = -d - 2*n. Factor 1 - 7 + 3*q + 3*q**d + 0.
3*(q - 1)*(q + 2)
Factor 1/8*w**5 + 0 - 1/8*w**4 + 0*w + 0*w**2 + 0*w**3.
w**4*(w - 1)/8
Let l be ((-320)/12)/(-8) + -2. Factor -2/3*n**5 + 0*n**2 + l*n**3 + 0*n**4 + 0 - 2/3*n.
-2*n*(n - 1)**2*(n + 1)**2/3
Let q be 12/15 + (-1 - (-3)/5). What is j in -1/5*j**2 - q*j + 3/5 = 0?
-3, 1
Let u be (-2)/(-120)*(18 + -17). Let x(r) be the third derivative of r**2 + 0*r**3 + 0*r + 0 - u*r**5 - 1/12*r**4. Factor x(l).
-l*(l + 2)
Suppose -q = -5*y + 18 + 2, y = -2*q - 29. Let l = -11 - q. Factor -2*v**2 - 2*v + l*v + 2 - 2*v.
-2*(v - 1)*(v + 1)
Factor 3/4 - 3/2*l**3 + 3/2*l - 3/4*l**4 + 0*l**2.
-3*(l - 1)*(l + 1)**3/4
Find o, given that -12/11*o - 1/11*o**5 - 2/11*o**2 + 7/11*o**3 + 8/11 + 0*o**4 = 0.
-2, 1, 2
Factor -x**3 + 5*x**3 + 0*x**3 - 5*x**3 - 3*x**2.
-x**2*(x + 3)
Let o(b) be the third derivative of 0 - 2*b**2 + 0*b**3 + 0*b - 1/420*b**6 + 1/84*b**4 + 0*b**5. Factor o(k).
-2*k*(k - 1)*(k + 1)/7
Let g(i) be the third derivative of -i**8/84 - 2*i**7/105 + i**6/30 + i**5/15 - 14*i**2. Determine k, given that g(k) = 0.
-1, 0, 1
Let 5*m**3 + 8*m**2 + 0*m**3 + 7*m**3 + m**5 + 6*m**4 = 0. What is m?
-2, 0
Let p = 2/223 - -649/2230. Let o(t) be the first derivative of -6/25*t**5 - 1/15*t**6 - p*t**4 + 0*t + 0*t**2 - 1 - 2/15*t**3. Solve o(q) = 0 for q.
-1, 0
Let w = 86 - 84. Let r(c) be the first derivative of w - 1/16*c**4 + 1/6*c**3 - 1/2*c + 1/8*c**2. Determine y so that r(y) = 0.
-1, 1, 2
Let d(p) be the second derivative of -1/147*p**7 + 0 + 0*p**4 + 1/105*p**6 + 4*p + 0*p**3 + 0*p**2 + 0*p**5. Factor d(v).
-2*v**4*(v - 1)/7
Let v(s) = -s**3 + 4*s**2 - 4*s + 47. Let t be v(5). Factor 2/5*b**t - 2/5 + 0*b.
2*(b - 1)*(b + 1)/5
Let r(a) = 2*a**2 + 9*a. Let i(m) = m**2 + 4*m. Let w(f) = f - 10. Let z be w(8). Let t(o) = z*r(o) + 5*i(o). What is s in t(s) = 0?
-2, 0
Suppose -6/7*g**3 + 0*g + 0 + 3/7*g**4 + 6/7*g**5 - 3/7*g**2 = 0. Calculate g.
-1, -1/2, 0, 1
Let a(q) be the second derivative of q**9/30240 - q**8/13440 - q**7/5040 + q**6/1440 - q**4/12 + 2*q. Let b(y) be the third derivative of a(y). Factor b(r).
r*(r - 1)**2*(r + 1)/2
Factor -6*t**3 + 15*t**2 - 143 + 123 + 11*t**3.
5*(t - 1)*(t + 2)**2
Let z(o) = -2*o**3 - 37*o**2 - 53*o - 34. Let t be z(-17). Find n, given that t + 9/4*n**4 + 3/2*n**3 - 3/2*n - 9/4*n**2 = 0.
-1, -2/3, 0, 1
Let f(n) = -6 + 1 + 0 + n**2 - 5*n - 5*n**2 - 6*n**3. Let g(u) = 5*u**3 + 3*u**2 + 4*u + 4. Let v(z) = 4*f(z) + 5*g(z). What is t in v(t) = 0?
0, 1
Let o(v) be the second derivative of v**4/54 + v**3/27 - 14*v. Find g such that o(g) = 0.
-1, 0
Find z, given that 2/5 + z - 19/5*z**3 + 14/5*z**5 - 13/5*z**2 + 11/5*z**4 = 0.
-1, -2/7, 1/2, 1
Let q(s) be the third derivative of s**9/9072 + s**8/5040 - s**3/3 - 4*s**2. Let f(d) be the first derivative of q(d). What is n in f(n) = 0?
-1, 0
Factor 2/15*w - 2/15*w**2 + 0.
-2*w*(w - 1)/15
Let g(r) be the first derivative of 3/4*r**4 - 9/2*r**2 + 0*r**3 + 6*r - 2. Factor g(i).
3*(i - 1)**2*(i + 2)
Find y, given that 15*y**2 - 54*y**4 + 22*y**4 + 27*y**4 - 10*y**3 = 0.
-3, 0, 1
Let l(c) = c - 3. Let v be l(6). Suppose 9*m + 0*m**v - 9*m**3 + 2*m**4 + m**4 + 3*m**2 - 6 = 0. Calculate m.
-1, 1, 2
Let k = 296312/805 + -8792/23. Let p = k - -102/7. Factor 2/5*w**2 + p + 4/5*w.
2*(w + 1)**2/5
Let m = -9 - -13. Let f(q) = -q + 6. Let j be f(m). Factor j + 2*n + 1/2*n**2.
(n + 2)**2/2
Let x be (20/(-25))/(0 - 2/10). Let w(k) be the third derivative of 1/30*k**5 - 1/12*k**x - 2*k**2 + 0 + 0*k**3 + 0*k. Suppose w(l) = 0. What is l?
0, 1
Let h(w) = -w**3 + 6*w**2 + 2. Let i be h(6). Suppose -2*t = 4*g - 0*g + 4, 0 = 5*t + i*g - 6. Factor -x**2 + 3*x**5 - 12*x**4 + 3*x + 18*x**3 - 10*x**t - x**2.
3*x*(x - 1)**4
Suppose 11 = 3*d + 2. Let v = d - -2. Suppose 0 - t**v - 30*t**2 + 10*t**5 + 9*t - 33*t**4 + 46*t**3 - 1 = 0. Calculate t.
1/3, 1
Let r be 4*3/(-18)*-3. Let h(n) = -2*n**4 - 3*n**3 - n**2 - 5*n. Let x(s) = -s**4 - s**3 - 2*s. Let l(d) = r*h(d) - 5*x(d). Factor l(w).
w**2*(w - 2)*(w + 1)
Let z = -452/3 + 152. Factor z*c**4 + 4/3*c**2 + 1/3*c + 1/3*c**5 + 0 + 2*c**3.
c*(c + 1)**4/3
Solve -8/9 + 2/9*z**3 - 14/9*z - 4/9*z**2 = 0.
-1, 4
Let b be (-8)/(-3) - 2/(-6). Factor 4*d**3 - 4*d**2 - 2*d**3 + 4 - 4*d**b + 2*d.
-2*(d - 1)*(d + 1)*(d + 2)
Let l = 362/201 - 9/67. Factor 0 + 2/3*m - 5/3*m**2 + l*m**4 - 2/3*m**3.
m*(m - 1)*(m + 1)*(5*m - 2)/3
Suppose 4*n + 0 - 8 = 0. Let l be -4*(-1)/2*n. Solve -2/5*u**l + 4/5*u - 4/5*u**3 + 2/5 + 0*u**2 = 0.
-1, 1
Solve 7343*p + p**2 - 7343*p = 0 for p.
0
Let u(p) be the third derivative of -7*p**8/1920 - p**7/40 - p**6/24 - p**5/30 + p**4/6 + 2*p**2. Let s(b) be the second derivative of u(b). Factor s(z).
-(z + 2)*(7*z + 2)**2/2
Let s(h) be the third derivative of -h**8/168 - 37*h**7/735 - 31*h**6/420 + 19*h**5/70 + 3*h**4/14 + 42*h**2. Let s(c) = 0. Calculate c.
-3, -2/7, 0, 1
Suppose 0*d - 2/13*d**4 - 2/13 + 4/13*d**2 + 0*d**3 = 0. What is d?
-1, 1
Let o(j) be the first derivative of -12/5*j**3 + 13/5*j**4 - 2 + 0*j - 24/25*j**5 + 4/5*j**2. Suppose o(v) = 0. Calculate v.
0, 1/2, 2/3, 1
Suppose 4*z + 2*z**3 - 13/3*z**2 - 1/3*z**4 - 4/3 = 0. What is z?
1, 2
Let f(j) = j**2 + 6*j + 6. Let a(n) = 2*n**2 + 12*n + 11. Let g(i) = 6*a(i) - 14*f(i). Factor g(s).
-2*(s + 3)**2
Let f(i) be the third derivative of i**7/1680 - i**6/240 + i**5/160 + i**4/48 - i**3/12 - 23*i**2. Determine j so that f(j) = 0.
-1, 1, 2
Let c(b) be the first derivative of b**8/840 + b**7/210 - 4*b**3/3 + 8. Let s(r) be the third derivative of c(r). Factor s(j).
2*j**3*(j + 2)
Let p be 6/90 - (-1)/3. Suppose 0*v - v + 2 = 0. Determine m, given that 2/5*m + p*m**v - 4/5 = 0.
-2, 1
Suppose 8/13*f**5 + 8/13*f + 2/13*f**3 + 24/13*f**2 + 0 - 24/13*f**4 = 0. What is f?
-1/2, 0, 2
Let n(z) = -3*z**2 - 13*z + 1. Let m(f) = -7*f**2 - 27*f + 1. Let i(d) = 4*m(d) - 9*n(d). Let q(y) = 2*y**2 - 10*y + 6. Let t(x) = 2*i(x) + 3*q(x). Factor t(a).
4*(a - 2)*(a - 1)
Let g be 0 - (-4)/(1 - -1). Find j such that 2*j**2 - 1 - g*j + 1 = 0.
0, 1
Let q(r) be the first derivative of -2 + 4/5*r**2 + 2/15*r**3 + 8/5*r. Factor q(d).
2*(d + 2)**2/5
Factor 4/5*j**3 + 4/5*j + 0 - 8/5*j**2.
4*j*(j - 1)**2/5
Let g(t) be the first derivative of -t + 0*t**3 - 1 + t**2 - 1/6*t**4. Let o(c) be 