)**2
Let a(z) be the first derivative of z**4/4 - 3*z**2/2 - 2*z - 2. Factor a(q).
(q - 2)*(q + 1)**2
Let r(x) be the second derivative of -5*x**8/336 + x**7/21 + x**6/5 + 4*x**5/15 + x**4/2 + 8*x. Let s(n) be the third derivative of r(n). Factor s(z).
-4*(z - 2)*(5*z + 2)**2
Let h(w) be the second derivative of w**7/2520 + w**6/240 + w**5/60 + w**4/6 - w. Let r(x) be the third derivative of h(x). Let r(n) = 0. Calculate n.
-2, -1
Let v(u) = u**2 + 4*u - 5. Let t be v(-5). Let b(p) be the first derivative of 0*p**4 + 0*p + 0*p**3 + t*p**2 + 0*p**5 - 2 + 1/3*p**6. Solve b(a) = 0.
0
Let b be 1/(-3) - (-263)/(-3). Let w = b - -269/3. Determine s, given that -2/3*s + w*s**3 + s**2 + 0 = 0.
-1, 0, 2/5
Let h(l) be the first derivative of -l**4/30 - 2*l**3/45 + 2*l**2/15 + 8. Factor h(y).
-2*y*(y - 1)*(y + 2)/15
Determine l so that 2*l**2 - 4*l**3 + 8*l - 5*l**2 + 7*l**2 = 0.
-1, 0, 2
Let s = 16 + -13. Let a be 0*(6/s)/(-2). Suppose a + 6*h**3 + 0*h - 4/3*h**2 = 0. Calculate h.
0, 2/9
Let q(v) be the first derivative of -4/3*v**3 + 4/5*v**5 + 0*v**2 - 8 + 0*v + 0*v**4. Factor q(f).
4*f**2*(f - 1)*(f + 1)
Let o(u) be the second derivative of 0 + 0*u**2 + 3*u - 1/42*u**4 - 1/21*u**3. Factor o(q).
-2*q*(q + 1)/7
Let k(l) = -4*l**2. Let a(r) = 6*r**2. Let y = -8 - 0. Let g = 8 + -13. Let u(x) = g*a(x) + y*k(x). Suppose u(t) = 0. Calculate t.
0
Suppose 6 = -4*v + 22. Suppose 2*c = 4*z - c + 9, -v*z - 2*c = -6. Determine r, given that 2/3*r + 8/3*r**2 + z = 0.
-1/4, 0
Let b(a) be the first derivative of a**3/3 - 3*a**2/2 - 5*a + 2. Let x be b(5). Factor -4*q**x + 5*q**5 + q**3 + q - 3*q**3.
q*(q - 1)**2*(q + 1)**2
Let v = -551/15 + 112/3. Factor -v*k + 3/5*k**3 - 2/5 + 2/5*k**2.
(k - 1)*(k + 1)*(3*k + 2)/5
Let a(r) be the first derivative of 2*r**3/17 - 4*r**2/17 - 8*r/17 + 27. Determine k so that a(k) = 0.
-2/3, 2
Let b(g) be the second derivative of g**6/40 - 3*g**5/20 + 2*g**3 + 4*g**2 - g. Let n(p) be the first derivative of b(p). Factor n(s).
3*(s - 2)**2*(s + 1)
Factor 6*l**3 + 8*l**3 + 4*l**2 - 12*l**3.
2*l**2*(l + 2)
Suppose -3*n + 0*n - 5*s = 15, 3*s = -2*n - 9. Suppose z - b + 4*b - 16 = n, -3*z + 24 = 3*b. Find v, given that 3/4*v**2 - 1/2*v + 17/4*v**3 + 0 + 3*v**z = 0.
-1, -2/3, 0, 1/4
Let k = 19 + 6. Suppose -b = 4*b - k. Factor -2*v**2 - 5*v**3 + b*v**4 + 0*v**4 + 2*v**4.
v**2*(v - 1)*(7*v + 2)
Let g(j) be the first derivative of 7*j**6/4 - 24*j**5/5 + 33*j**4/8 - j**3 - 1. Suppose g(k) = 0. What is k?
0, 2/7, 1
Let l be (6/(-18))/((-1)/5). Factor -l*k + 2/3 - 7/3*k**2.
-(k + 1)*(7*k - 2)/3
Suppose -6*r = -4*r. Let j be 4 + r + (-133)/35. Factor j*o**2 + 1/5 - 2/5*o.
(o - 1)**2/5
Let y = 57 - 281/5. Factor -2/5*a**3 - 2/5*a**2 + y*a + 0.
-2*a*(a - 1)*(a + 2)/5
Let m(x) be the second derivative of -x**4/54 - 14*x**3/27 + 6*x. Find b such that m(b) = 0.
-14, 0
Let h be 8*(-7)/(-252) + 1/(-45). Factor 3/5*r - h*r**3 + 0*r**2 - 2/5.
-(r - 1)**2*(r + 2)/5
Suppose -5 = 3*k + 2*w - 3, 0 = -2*k - 4*w - 4. Suppose -2*m - 2/3*m**2 + k = 0. Calculate m.
-3, 0
Let p(q) = 3*q**4 - q**3 + 5*q**2 - q. Suppose 3*m = m - 4. Let u(j) = 4*j**4 + 6*j**2 - j. Let d(v) = m*u(v) + 3*p(v). Solve d(h) = 0 for h.
0, 1
Factor 2*f**4 + 5*f + 15*f**3 - 7*f**4 - 28*f**2 + 13*f**2.
-5*f*(f - 1)**3
Let z(p) be the third derivative of -p**5/90 - p**4/72 - 4*p**2. Factor z(m).
-m*(2*m + 1)/3
Let o(h) be the third derivative of -h**5/60 - 17*h**4/24 + h**3/3 + 7*h**2. Let v be o(-17). Factor 2/9*i**v + 2/9*i**3 + 0 + 0*i.
2*i**2*(i + 1)/9
Let d be 7 - (3 + (-5 - -4)). Find h, given that 0*h + 3/4*h**3 - 3/2*h**4 - 3/4*h**d + 0 + 3/2*h**2 = 0.
-2, -1, 0, 1
Let o = -7 - -10. Let 2 + 0*b**3 - 2 + 2*b**o - 2*b**2 = 0. What is b?
0, 1
Let q(u) be the first derivative of u**4/10 - 6*u**3/5 + 27*u**2/5 - 54*u/5 - 2. Factor q(a).
2*(a - 3)**3/5
Let n(v) be the second derivative of 7/90*v**5 - 16/27*v**3 + 0 + 4/9*v**2 + v + 5/54*v**4. Factor n(u).
2*(u - 1)*(u + 2)*(7*u - 2)/9
Let r = 10 + -8. Factor 3*x**3 + 3*x**r + 10*x - 5*x**3 - 9*x**2 + 2*x**4 - 4.
2*(x - 1)**3*(x + 2)
Factor 27 - 558*o**2 - 3*o + 247*o**2 + 284*o**2 + 3*o**3.
3*(o - 9)*(o - 1)*(o + 1)
Let p be (-98)/(-8) + 3/(-12). Suppose j**5 + j**5 + 8*j**2 + p*j**3 + 2*j + 5*j**4 + 3*j**4 = 0. Calculate j.
-1, 0
Let z = -20 + 25. Let c be (-12)/(-5) + (z - 7). Solve 0 - 2/5*u**2 - c*u = 0 for u.
-1, 0
Suppose 0 = -2*b - 2*o + 12, -2*b = -b - 2*o. Let 3*d**5 - 9/4*d**3 + 15/4*d**b - 15/4*d**2 - 3/4*d + 0 = 0. Calculate d.
-1, -1/4, 0, 1
Suppose 4 = -3*f + 124. Let c = -40 + f. Let -1/4*l**2 + c + 1/2*l = 0. What is l?
0, 2
Let x = -6 - -11. Let 3*a**2 - 4*a**2 + 1 - 5*a + x*a = 0. Calculate a.
-1, 1
Factor -2*s**2 - 6*s**4 + 9*s**5 + 5*s**3 + s**3 - 7*s**5.
2*s**2*(s - 1)**3
Factor 0*j**3 + 11*j**2 - 3*j**5 - 3*j**4 + 3*j**3 - 8*j**2.
-3*j**2*(j - 1)*(j + 1)**2
Suppose 2*t - 7*t = -20. Suppose -3*b = -2*b + 2*k - 2, t*k = 0. Factor -w**4 + 2*w**4 - 2*w**3 + b*w**2 - w**2.
w**2*(w - 1)**2
Let m(a) be the first derivative of -2*a**3/3 - 4*a**2 - 6*a - 5. Factor m(l).
-2*(l + 1)*(l + 3)
Suppose -1/2*b**2 + 0 - 21/8*b**4 + 0*b + 2*b**3 + 9/8*b**5 = 0. Calculate b.
0, 2/3, 1
Factor 1/2*v + v**2 + 1/2*v**3 + 0.
v*(v + 1)**2/2
Let p(x) = 125*x**3 + 19*x**2 - 86*x + 20. Let s(c) = 125*c**3 + 18*c**2 - 87*c + 20. Let f(t) = -7*p(t) + 6*s(t). Factor f(q).
-5*(q + 1)*(5*q - 2)**2
Let y = -48111086 + 101273829284/2105. Let n = -2/421 - y. Factor 2/5*c**3 + 24/5*c - 12/5*c**2 - n.
2*(c - 2)**3/5
Let d(j) be the first derivative of 0*j + 0*j**5 + 0*j**2 + 0*j**4 + 0*j**3 + 1/2*j**6 - 6. Factor d(n).
3*n**5
Suppose q + 6*s - s = 14, 4*s = -q + 12. Factor -8/3*x**q + 0*x**2 - 2/3*x**5 + 0*x - 8/3*x**3 + 0.
-2*x**3*(x + 2)**2/3
Let m(l) be the first derivative of 3*l**4/8 - l**3 - 21*l**2/4 - 6*l + 5. Factor m(c).
3*(c - 4)*(c + 1)**2/2
Let t be 140/144 + 3 + (-30)/8. Factor 0 + t*r**2 + 2/9*r.
2*r*(r + 1)/9
Let r(j) be the third derivative of -j**7/210 + j**6/60 + j**5/20 - j**4/6 - 2*j**3/3 + 6*j**2. Suppose r(c) = 0. Calculate c.
-1, 2
Let t be (-2)/(1/6*-2). Let u(r) be the second derivative of 1/42*r**7 + 1/6*r**3 + 1/2*r**2 + 0 - 1/10*r**5 - r + 1/30*r**t - 1/6*r**4. Factor u(i).
(i - 1)**2*(i + 1)**3
Let z be (12*3/(-12))/(-7 + 0). What is i in -3/7*i**3 - 1/7*i + 0 + z*i**2 + 1/7*i**4 = 0?
0, 1
Find r, given that 5938*r**3 - 19*r**2 - 5929*r**3 + 27*r**4 - 12*r - 5*r**2 = 0.
-2/3, 0, 1
Let k(r) = r + 12. Let l be k(-9). Solve 6*a**4 - 2*a**4 - 3*a**3 - 4*a**2 + 9*a**l + a - 7*a**3 = 0 for a.
-1, 0, 1/4, 1
Factor 0 + 0*i - 2/7*i**3 + 0*i**2.
-2*i**3/7
Determine z so that -4/5*z**3 + 0 + 8/5*z**4 - 24/5*z**2 + 18/5*z + 2/5*z**5 = 0.
-3, 0, 1
Let t be (1 + 1)/(3 + -2). Let j be 15/6 + t/4. Factor j*c**3 + 2*c**3 - 6*c**3.
-c**3
Let y = 2 + 2. What is k in -5*k**2 + 7*k**2 - 6*k - y + 6*k**3 - 3*k**4 + 5*k**4 = 0?
-2, -1, 1
Let h = -21 + 22. Let x(d) be the second derivative of -d**4/12 - d**3/6 - d. Let p(f) = 4*f - 2. Let l(q) = h*x(q) + p(q). Factor l(g).
-(g - 2)*(g - 1)
Let n(d) be the third derivative of -d**8/30240 + d**7/1890 - d**6/270 + d**5/30 + 2*d**2. Let t(h) be the third derivative of n(h). Factor t(g).
-2*(g - 2)**2/3
Let x = 131 - 131. Let x - 5/2*p**3 - p**4 - 1/2*p - 2*p**2 = 0. What is p?
-1, -1/2, 0
Let p = 1543/1344 - 1/192. Let o = p - 17/21. Find c, given that -1/3*c**2 - o + 2/3*c = 0.
1
Suppose -7*x = -2*x - 15. Factor -3*w**3 + 2*w + 6*w**2 - 10 + 4*w + 12 + 5*w**x.
2*(w + 1)**3
Let w(l) be the second derivative of 1/15*l**6 - 3*l + 1/3*l**3 + 0*l**2 + 0 + 1/2*l**4 + 3/10*l**5. Factor w(p).
2*p*(p + 1)**3
Let l(j) be the second derivative of 3*j**5/20 - 3*j**3/2 - 3*j**2 - 5*j. Suppose l(b) = 0. What is b?
-1, 2
Solve -5*x**2 - 3*x**4 + 3*x**3 + x**2 + 7*x**2 - 3*x = 0.
-1, 0, 1
Let n(h) be the second derivative of -h**5/120 - h**4/18 + 12*h. Factor n(i).
-i**2*(i + 4)/6
Let s(a) be the first derivative of 108*a**2 - 1 - 324*a**3 + 729/2*a**4 - 16*a. Factor s(p).
2*(9*p - 2)**3
Let n(z) be the first derivative of 5*z**4/2 - 5*z**3/3 - 25*z**2/2 - 10*z + 1. Factor n(w).
5*(w - 2)*(w + 1)*(2*w + 1)
Let z(h) be the first derivative of 0*h**2 + 2/27*h**3 - 1/18*h**4 + 4 + 0*h. Factor z(s).
-2*s**2*(s - 1)/9
Let k(q) be the third derivative of -q**6/600 + q**5/75 - q**4/30 - 8*q**2. Find n such that k(n) = 0.
