**2 - 3. Let n(d) be the second derivative of g(d). Factor n(f).
-3*f*(f - 1)**2*(f + 2)
Suppose 0 = 4*h - 3*q + 3, -3*h + 4*q - 3 = 1. Let n(f) be the first derivative of 0*f**2 - 1/2*f**4 + 2/15*f**3 + h*f - 2. Factor n(j).
-2*j**2*(5*j - 1)/5
Suppose 25 = -2*c + 7*c. Suppose -5*i = c - 20, -4*i = 5*b - 22. What is u in u**2 - 4 + u**b + 0*u**2 + 2*u = 0?
-2, 1
Let z(m) be the third derivative of -m**9/1512 + m**8/480 - m**7/630 - m**4/8 + m**2. Let c(s) be the second derivative of z(s). Suppose c(q) = 0. Calculate q.
0, 2/5, 1
Let v(d) be the first derivative of 0*d - 2 - 2/7*d**2 - 2/7*d**4 - 10/21*d**3 - 2/35*d**5. Factor v(s).
-2*s*(s + 1)**2*(s + 2)/7
Let i be 4/(-10) - 51/(-15). Suppose -x**4 + 2 + 5*x + 0*x**3 - 2*x**3 - x**3 + 2*x**i + 3*x**2 = 0. Calculate x.
-1, 2
Let k(y) = -y**3 + 14*y**2 - 18*y + 67. Let n be k(13). Suppose 3/2*q**3 + 0 + 0*q + 0*q**n = 0. Calculate q.
0
Let x(p) be the first derivative of 4*p**5/5 + p**4 - 4*p**3/3 - 2*p**2 + 21. Find s such that x(s) = 0.
-1, 0, 1
Solve -4/5*a**3 + 0 - 2/5*a**4 + 6/5*a**2 + 0*a = 0 for a.
-3, 0, 1
Suppose -6*n + 144 = -36. Let m be 4/6*n/4. Suppose -2/5*q**4 - 2/5*q + 0 + 2/5*q**2 + 6/5*q**3 - 4/5*q**m = 0. Calculate q.
-1, 0, 1/2, 1
What is s in 5*s + 7*s**2 - 6*s**2 + 3*s - 7*s = 0?
-1, 0
Let v = -415 - -1262/3. Let k = 6 - v. Solve -4/3*x**4 - 2*x**3 - k*x**5 - 1/3*x - 4/3*x**2 + 0 = 0 for x.
-1, 0
Let p(i) be the second derivative of -4*i**6/15 - i**5/5 + 2*i**4 - 3*i. Determine f, given that p(f) = 0.
-2, 0, 3/2
Let y be (-66)/(-15) + 1 - (4 - 0). Solve -y*s**2 + s**3 + 2/5*s + 0 = 0 for s.
0, 2/5, 1
Suppose -3*p - 2*z = -8, -3*p = -4*z - z + 20. Solve -5*b**3 + p*b**3 + 4*b**3 = 0 for b.
0
Let t = -33 - -103/3. Find n, given that -2*n + t + 2/3*n**2 = 0.
1, 2
Suppose -13 = -5*y + 2. Let k(q) be the second derivative of -1/21*q**y + 0 + 0*q**2 - 2*q - 1/42*q**4. Factor k(h).
-2*h*(h + 1)/7
Let a(f) be the second derivative of f**7/3780 - f**6/810 + f**5/540 + 7*f**3/6 - 4*f. Let g(q) be the second derivative of a(q). Factor g(z).
2*z*(z - 1)**2/9
Let q(n) = 151*n**2 + 69*n - 11. Let m(b) = -30*b**2 - 14*b + 2. Let v(a) = -11*m(a) - 2*q(a). Factor v(r).
4*r*(7*r + 4)
Let u(j) be the third derivative of j**6/540 - j**5/270 - j**4/108 + j**3/27 + 2*j**2 + 18*j. Factor u(a).
2*(a - 1)**2*(a + 1)/9
Solve -1/4*n**3 + 7/8*n**2 - 5/8*n + 0 = 0 for n.
0, 1, 5/2
Let b(f) = -f - 8. Let i be b(-8). Let s(t) be the third derivative of i + 1/12*t**4 + t**2 + 0*t + 1/60*t**6 + 0*t**3 + 1/15*t**5. Factor s(g).
2*g*(g + 1)**2
Let a(s) = -2*s**5 + s**4 + 3*s**3 + 5*s**2 - 4*s + 3. Let p(l) = -9*l**5 + 5*l**4 + 13*l**3 + 21*l**2 - 17*l + 13. Let w(g) = 26*a(g) - 6*p(g). Factor w(o).
2*o*(o - 1)**3*(o + 1)
Suppose 0 = -2*i + 3*f + 3, 2*i = 7*i + 5*f + 5. Find o, given that i + 1/3*o + 1/3*o**2 = 0.
-1, 0
Factor 6 + 2/3*p**2 + 4*p.
2*(p + 3)**2/3
Let l(o) be the first derivative of 2*o**3/9 - 2*o**2/3 - 6. Factor l(p).
2*p*(p - 2)/3
Suppose -2*m + 2*r + 3*r = 15, 3*r = -m + 20. Factor g - 2 - 9*g**4 + 0*g**3 + 8*g**4 - m*g**3 + 4*g**3 + 3*g**2.
-(g - 1)**2*(g + 1)*(g + 2)
Let a(x) = -x**2 + x. Let q(i) = 5*i**4 - 20*i**3 + 21*i**2 - 6*i. Let w(b) = 6*a(b) + q(b). Find c such that w(c) = 0.
0, 1, 3
Suppose -2*h + 13 = 3*m, 3*m - 10 = -h + 1. Factor -2/9*z**h + 2/9*z**4 - 2/9*z + 0 + 2/9*z**3.
2*z*(z - 1)*(z + 1)**2/9
Let w(d) be the first derivative of d**8/560 - d**7/168 - d**6/360 + d**5/24 - d**4/12 - 2*d**3 - 4. Let l(v) be the third derivative of w(v). Factor l(q).
(q - 1)**2*(q + 1)*(3*q - 2)
Suppose 5 = x - s, -10 = -4*x + x - 2*s. Suppose -20 = 3*j - 7*j. Factor 2*l**j + 2*l**3 + 0*l**5 - x*l**5.
-2*l**3*(l - 1)*(l + 1)
Factor -31*v + 7*v**2 + 19*v - 5*v**2.
2*v*(v - 6)
Let q = 7 - -8. Let a be (-24)/(-10) - 6/q. What is f in 3/2 - 9/4*f + 3/4*f**a = 0?
1, 2
Find q such that 24 - 38*q + 57*q**2 - 22*q + 303*q**3 - 105*q**4 - 219*q**2 = 0.
-2/5, 2/7, 1, 2
Suppose -5*c - 8 = 3*i + 1, 5*c + 23 = 4*i. Let j = 2046/3605 + 2/515. Let -j*v**i - 2*v**3 + 4/7 + 2*v = 0. Calculate v.
-1, -2/7, 1
Let v = -82 - -248/3. Let r(d) be the first derivative of 1 + 2*d**2 + 0*d + v*d**3. Find y, given that r(y) = 0.
-2, 0
Factor 0 - 2/5*t + 2/5*t**2.
2*t*(t - 1)/5
Let 11*t**2 + 1764 - 13*t**2 + 168*t + 6*t**2 = 0. What is t?
-21
Let h(i) = 2*i + 8. Let c be h(-2). Find t, given that 0*t + 0*t**2 + 0 + 1/2*t**c + 0*t**3 = 0.
0
Let b(w) = -w**3 + 7. Let y be b(0). What is n in 7*n + 8*n**2 - 4*n + 0*n**2 - 4*n**3 - y*n = 0?
0, 1
Let v = -18/5 - -22/5. Let l(b) = b**3 + 15*b**2 + 15*b + 16. Let z be l(-14). Factor 2/5*c**z - v - 2/5*c.
2*(c - 2)*(c + 1)/5
Let l be (6/15)/((-3)/(-15)). Suppose -l*p - 3 = -3*p. Factor -6*m**3 + 5*m**5 + 6*m**p + 2*m + 3*m**2 - 3*m**4 - 7*m**3.
m*(m - 1)**2*(m + 1)*(5*m + 2)
Let w(r) = r**2 - r - 1. Let t(b) = -12*b**2 + 31*b + 13. Let a(q) = 4*t(q) + 20*w(q). Suppose a(z) = 0. Calculate z.
-2/7, 4
Let t = -52/5 + 56/5. Let q = 109 + -109. What is v in -6/5*v**2 + 2*v**3 - t*v + q = 0?
-2/5, 0, 1
Let v(i) be the third derivative of i**7/280 - i**6/60 + i**5/30 - i**4/12 - 3*i**2. Let n(z) be the second derivative of v(z). Factor n(b).
(3*b - 2)**2
Let m(b) be the third derivative of b**5/30 - 5*b**4/24 - 11*b**3/6 - b**2. Let t(p) = 2*p**2 - 4*p - 10. Let k(g) = 6*m(g) - 7*t(g). Let k(a) = 0. What is a?
-2, 1
Let t(l) = -355*l**3 - 60*l**2 + 355*l + 60. Let b(k) = 59*k**3 + 10*k**2 - 59*k - 10. Let c(q) = 25*b(q) + 4*t(q). Factor c(s).
5*(s - 1)*(s + 1)*(11*s + 2)
Suppose 9 = 4*z + 109. Let v be (-3)/45 + (-10)/z. Factor -2/3 + v*f**2 - 1/3*f.
(f - 2)*(f + 1)/3
Let q(v) be the third derivative of v**7/840 + v**6/240 - v**4/12 + 4*v**2. Let t(b) be the second derivative of q(b). Factor t(s).
3*s*(s + 1)
Suppose 4*i = 12, 3*b = -2*b + 3*i - 9. Suppose 0*s + 1/2*s**3 + 1/2*s**2 + b = 0. Calculate s.
-1, 0
What is g in -2*g**5 + 0*g + 0 + 4/7*g**2 + 2*g**3 - 4/7*g**4 = 0?
-1, -2/7, 0, 1
Let s(k) be the second derivative of k**8/13440 - k**7/5040 - k**4/4 + k. Let g(v) be the third derivative of s(v). Factor g(l).
l**2*(l - 1)/2
Let f = -5 - -6. Let s(k) = -k**2 + 2*k - 1. Let z be s(f). Solve z*j + 2*j**2 - 2*j + 0*j = 0 for j.
0, 1
Solve 2/19*j + 4/19*j**4 - 8/19*j**2 + 2/19*j**5 - 4/19*j**3 + 4/19 = 0.
-2, -1, 1
Let m be (3 + -1 - -2) + -2. Factor -14*p**m - 5*p + p + 8*p**3 + 0*p**2.
2*p*(p - 2)*(4*p + 1)
Let j(b) be the first derivative of 2*b**5/35 - b**4/28 - 2*b**3/21 + b**2/14 + 3. Factor j(d).
d*(d - 1)*(d + 1)*(2*d - 1)/7
Let i(s) be the third derivative of -s**5/240 - s**4/64 - s**3/48 - 19*s**2. Factor i(r).
-(r + 1)*(2*r + 1)/8
Let l(k) be the first derivative of 11/6*k**4 + 2/5*k**5 + 2 + 4/3*k + 3*k**2 + 10/3*k**3. Suppose l(j) = 0. What is j?
-1, -2/3
Suppose -4*f = -5*f + 38. Let t = 40 - f. Factor 1/3 + 5*j**t - 3*j + 25/3*j**3.
(j + 1)*(5*j - 1)**2/3
Let g = -36 + 73/2. Let -5/2*v**4 - v**5 - v**3 + 2*v + 2*v**2 + g = 0. Calculate v.
-1, -1/2, 1
What is k in 0 - 8 + 6*k + 6*k + 195*k**2 - 187*k**2 = 0?
-2, 1/2
Let k(v) be the second derivative of 2*v**3 + 1/20*v**5 + 1/2*v**4 + 0 - v + 4*v**2. Factor k(m).
(m + 2)**3
Suppose 5*m + 2 = 2*f - f, f + 2*m - 2 = 0. Let v(y) be the first derivative of 1/2*y**4 - 1/6*y**6 - 1/2*y**f + 2/3*y**3 - y - 3 - 1/5*y**5. Factor v(n).
-(n - 1)**2*(n + 1)**3
Let -3*k**4 - 3*k + 6*k**2 + 6*k**3 - 3*k**5 - 3 + 4*k - 4*k + 0*k = 0. Calculate k.
-1, 1
Let x(w) = w**4 - w**3 + w**2 + w - 1. Let m(n) = 9*n**4 - 8*n**3 + 5*n**2 + 6*n - 6. Let j(q) = m(q) - 6*x(q). Factor j(h).
h**2*(h - 1)*(3*h + 1)
Let m(d) = -56*d**3 + 68*d**2 + 84*d - 24. Let b(r) = -37*r**3 + 45*r**2 + 56*r - 16. Let q(z) = -8*b(z) + 5*m(z). Factor q(w).
4*(w - 2)*(w + 1)*(4*w - 1)
Let v(p) be the second derivative of p**4/4 - 11*p**3/2 - 40*p. Factor v(a).
3*a*(a - 11)
Suppose 2/11*f**2 + 2/11*f**5 + 0*f - 2/11*f**4 + 0 - 2/11*f**3 = 0. Calculate f.
-1, 0, 1
Let h(l) be the first derivative of 2/3*l**3 - 2 - 2/5*l**5 + l**2 - 1/2*l**4 + 0*l. Let h(b) = 0. Calculate b.
-1, 0, 1
Let k(g) = -2*g**2 + g + 1. Let r(i) = 8*i**2 - 11*i + 3. Let m(h) = -5*k(h) - r(h). Determine y so that m(y) = 0.
-4, 1
Let k(c) be the second derivative of 3*c**5/110 + c**4/33 - c**3/11 - 2*c**2/11 + 12*c. Determine r so that k(r) = 0.
-1, -2/3, 1
Let w(a) = 2*a - 5. Let y be w(4). S