*5/20 + 4*l**4 - 2*l**3 + 37*l + 3. Factor q(k).
-3*k*(k - 2)*(k + 2)*(4*k - 1)
Let a be 0 + (10/14)/((-2112)/112 + 19). Factor 20/11*l**4 - 60/11*l**3 - 2/11*l**a + 80/11*l**2 + 12/11 - 50/11*l.
-2*(l - 6)*(l - 1)**4/11
Let k(g) be the second derivative of g**7/5040 + g**6/1080 - g**5/720 - g**4/72 - 10*g**3/3 + g. Let i(j) be the second derivative of k(j). Factor i(z).
(z - 1)*(z + 1)*(z + 2)/6
Let o = -26 + 46. Let d be ((-2)/o*2)/(12/(-30)). Solve d*r**2 + 1/2*r + 0 = 0.
-1, 0
Let q = -559 - -2797/5. Let m(k) be the second derivative of 0*k**4 + 2/15*k**6 - 4/3*k**3 - 8*k + 0 + q*k**5 - 2*k**2. Determine p so that m(p) = 0.
-1, 1
Let k = 63 - 45. Suppose -5*j + 11 = -w, 5*w - 11 = -3*j + k. Factor 5*f**3 - 7*f**2 + f**2 + 2*f**2 - 4*f**w + 3*f**3.
-4*f**2*(f - 1)**2
Let n(o) = 3*o**3 - 31*o**2 - 22*o. Let v be n(11). Solve 0 + 4/3*w**2 + 4*w**4 + 4*w**3 + v*w + 4/3*w**5 = 0.
-1, 0
Let x be 2/(-6)*(-210)/56. Let r(o) be the first derivative of 1/5*o**5 + 0*o - x*o**4 - 2*o**2 + 8/3*o**3 + 1. Suppose r(y) = 0. Calculate y.
0, 1, 2
Let m(h) be the first derivative of h**3 + 39*h**2/2 + 36*h + 36. Suppose m(o) = 0. What is o?
-12, -1
Let v(t) be the third derivative of -t**6/100 + 17*t**5/50 + 9*t**4/10 + 97*t**2. Factor v(h).
-6*h*(h - 18)*(h + 1)/5
Let k be (-1)/(-20)*-24*(-14)/84. Factor -6/5*b**3 + 7/5*b**2 - k*b + 0.
-b*(b - 1)*(6*b - 1)/5
Let m(p) be the second derivative of 3/50*p**5 - 6/5*p**2 - 1/5*p**3 + 1/5*p**4 + 0 - 11*p. Factor m(k).
6*(k - 1)*(k + 1)*(k + 2)/5
Let y(s) = -s**3 - s - 1. Let d(g) = -4*g**3 + g + 1. Suppose -6*u + u = 5. Let a(n) = u*d(n) - y(n). Factor a(x).
5*x**3
Suppose -5*w = 3*p - 1, 0*w = -2*p - w + 3. Let g = 218973/91220 + -9/18244. Solve 243/5*r**p + 108/5*r + g = 0.
-2/9
Let a(y) be the third derivative of -y**7/1050 - 2*y**6/225 - y**5/50 + 26*y**3/3 + 20*y**2 - 2*y. Let s(o) be the first derivative of a(o). Factor s(h).
-4*h*(h + 1)*(h + 3)/5
Let m(s) be the second derivative of s**4/24 - 4*s**3/3 + 16*s**2 - s + 28. Factor m(h).
(h - 8)**2/2
Let z(u) = -u + 9. Let a be z(5). Factor -46*d**2 - 5*d**3 + 4*d**5 + 62*d**2 + 32*d - 19*d**3 - a*d**4.
4*d*(d - 2)**2*(d + 1)*(d + 2)
Let h(d) = -d - 1. Let u(k) = -2*k**2 + 48*k - 2. Let g(y) = -2*h(y) + u(y). Factor g(t).
-2*t*(t - 25)
Let x(c) be the second derivative of 1/20*c**4 + 3/100*c**5 - 1/10*c**3 - 3/10*c**2 + 0 + 29*c. Factor x(t).
3*(t - 1)*(t + 1)**2/5
Factor v**2 + 3/2*v**3 + 4 - 6*v - 1/2*v**4.
-(v - 2)**2*(v - 1)*(v + 2)/2
Let s(d) = -2*d**2 - 39*d + 22. Suppose 32*j - 33*j = 20. Let r be s(j). Factor 6/7*v + 4/7 + 2/7*v**r.
2*(v + 1)*(v + 2)/7
Let t(q) = q**3 - 9*q**2 - 58*q - 162. Let d be t(14). Factor 6 + 3/2*k**3 - 3/2*k - d*k**2.
3*(k - 4)*(k - 1)*(k + 1)/2
Solve -484/9*c**2 - 2/9*c**5 + 0*c + 40/9*c**4 + 0 - 154/9*c**3 = 0.
-2, 0, 11
Let t(m) be the first derivative of m**5/35 - m**3/7 + m**2/7 + 499. Suppose t(u) = 0. What is u?
-2, 0, 1
Let l(k) be the third derivative of -k**8/1176 + k**7/1470 + 17*k**6/840 - 4*k**5/105 - k**4/14 + 21*k**2 - 5. Find v such that l(v) = 0.
-3, -1/2, 0, 2
Factor 2/3*u**3 - 10*u**2 + 28/3*u + 0.
2*u*(u - 14)*(u - 1)/3
Let h be (-3 - (-1 + -3)) + (-2 - 0). Let d be 0 + 0 - (-5)/(21 + h). Factor 0 + d*q**4 + 1/4*q - 1/4*q**3 - 1/4*q**2.
q*(q - 1)**2*(q + 1)/4
Let h(o) be the first derivative of o**6/6 - 2*o**5/3 + o**4 - 2*o**3/3 + o**2/6 + 434. Find z such that h(z) = 0.
0, 1/3, 1
Suppose 27 - 76 = -h. Determine j so that 245*j**4 + 127*j**3 + 102*j**3 - 15*j**2 - 51*j + 20 + 121*j**3 - h*j = 0.
-1, 2/7
Let k(p) be the second derivative of -p**5/12 + 5*p**3/6 - 9*p**2/2 + 19*p. Let g(u) be the first derivative of k(u). Factor g(s).
-5*(s - 1)*(s + 1)
Suppose 0 = 3*i - i - 6. Let f be (4/20)/(i/9*3). Factor -f + 1/5*j**2 + 0*j.
(j - 1)*(j + 1)/5
Let j = 30 + -23. Let q be (-2)/j*49/(-7). Factor -h - 1/2 - 1/2*h**q.
-(h + 1)**2/2
Suppose -4*d + 0*d - 4 = 0, 3*h + d = 8. Factor -4*k**2 - 2*k**2 + h*k**2 - 2*k**2 + 15*k.
-5*k*(k - 3)
Let p = -182/15 - -37/3. Let j(h) be the second derivative of -6*h + 0*h**4 + 0 - 4*h**2 - 2*h**3 + p*h**5. Factor j(d).
4*(d - 2)*(d + 1)**2
Suppose 0 = 2*m - 13 + 7. Determine k so that 0 - 6 + 44*k + 76*k**2 - 11 + 1 + 16*k**m = 0.
-4, -1, 1/4
Let a(o) be the third derivative of 9*o**2 + 0 + o**3 + 1/8*o**4 - 1/10*o**5 + 0*o - 1/40*o**6. Suppose a(h) = 0. What is h?
-2, -1, 1
Let w(q) be the second derivative of q**5/70 + 5*q**2/2 + 12*q. Let p(o) be the first derivative of w(o). Factor p(n).
6*n**2/7
Let j(n) be the first derivative of -n**6/8 - 4*n**5/5 - 13*n**4/8 - 4*n**3/3 - 3*n**2/8 + 68. Find s, given that j(s) = 0.
-3, -1, -1/3, 0
Let b(m) be the first derivative of -m**6/3 + 3*m**5/5 + m**4/2 - 146. Suppose b(r) = 0. Calculate r.
-1/2, 0, 2
Let x(f) be the first derivative of 3/10*f**2 + 0*f + 4/5*f**3 + 12/25*f**5 + 1/10*f**6 + 9/10*f**4 + 2. Suppose x(o) = 0. What is o?
-1, 0
Factor 1/7*z**4 + 213/7*z**2 - 26/7*z**3 + 484/7 - 572/7*z.
(z - 11)**2*(z - 2)**2/7
Let f be (-24)/(-2)*6/(-9). Let r = f + 13. Factor 8*a**2 - 2*a**4 - a - 6*a**2 + 0*a + a**r.
a*(a - 1)**3*(a + 1)
Let o(w) be the first derivative of 7*w**4/6 + 43*w**3/18 + 17*w**2/12 + w/3 - 237. What is u in o(u) = 0?
-1, -2/7, -1/4
Let m(o) = 7*o - 4. Let v be m(-2). Let d be v*(-1 + 1/3). What is c in 8*c - 48*c**3 - 63*c**4 - 8*c - d*c**2 - 27*c**5 = 0?
-1, -2/3, 0
Factor -15/4*d**2 + 1/8*d**4 + 7/8*d**3 + 5 + 1/2*d.
(d - 2)**2*(d + 1)*(d + 10)/8
Let n(w) be the third derivative of -w**5/240 + 55*w**4/48 - 3025*w**3/24 - 155*w**2 - 2*w. Suppose n(m) = 0. Calculate m.
55
Let f = 2359 - 2355. Suppose -1/5*w**5 + 8/5*w**2 + 2/5 + 7/5*w + 2/5*w**3 - 2/5*w**f = 0. What is w?
-1, 2
Let z be 6/4*((-1)/(-12) - 104/(-624)). Factor 0 + z*x**3 - 3/8*x**2 + 0*x.
3*x**2*(x - 1)/8
Let o(m) be the second derivative of -67/50*m**5 + 0 + 7/15*m**3 - m**4 - 18*m + 2/5*m**2 - 16/35*m**7 + 136/75*m**6. Suppose o(g) = 0. What is g?
-1/4, 1/3, 1, 2
Let k(p) = -2*p**5 - 26*p**4 + 130*p**3 - 196*p**2 + 140*p - 40. Let z(r) = r**3 + r - 1. Let y(w) = k(w) - 6*z(w). Factor y(a).
-2*(a - 1)**4*(a + 17)
Let y = -21233 - -21235. Let 0*c + 0 + 16/3*c**y - 2/3*c**3 = 0. Calculate c.
0, 8
Suppose -3*z + 60 = 54. Let k be z - (-3 - (0 + -2 + 1)). Determine d, given that -1/4*d**5 + 0 + 0*d**2 + 0*d**k - d + 5/4*d**3 = 0.
-2, -1, 0, 1, 2
Suppose 36*p = 5*p - 15*p. Let s(z) be the third derivative of 0 + 1/42*z**4 + 0*z**3 - 1/210*z**5 + p*z + 5*z**2. What is f in s(f) = 0?
0, 2
Factor -224/5*r - 8/15*r**3 - 128/3 - 46/5*r**2.
-2*(r + 8)**2*(4*r + 5)/15
Suppose 0 = -5*p + 3 + 17. Let n be ((-6)/p + 1)*0. Factor t**2 + t + 0*t**2 - t**4 + n*t**2 - t**3.
-t*(t - 1)*(t + 1)**2
Find z, given that 2/5*z**2 - 11/5 + 21/5*z = 0.
-11, 1/2
Let b = 32 - 32. Suppose -2*p - 5*r = 5, b = 2*p - 7*p - 5*r - 5. Solve 0*q**3 + 1/6*q**4 + 0*q + 0*q**2 + p = 0.
0
Let s = 41 + -39. Solve -4*u**s + 2*u**3 + u**3 - u**3 + 2*u**4 = 0 for u.
-2, 0, 1
Let w be 0/2 + (-158)/(-2) + -2. Let k be (-9)/6 - w/(-14). Factor -8/7*t**2 + 0 - 8/7*t**3 + 0*t - 2/7*t**k.
-2*t**2*(t + 2)**2/7
Let k(n) be the second derivative of n**5/15 - n**4/3 - 2*n**3 + 8*n**2 + 6*n. Let z(s) be the first derivative of k(s). Solve z(d) = 0.
-1, 3
Let h(x) be the first derivative of -x**5/180 + x**4/27 + x**3/18 - x**2 + 30*x - 6. Let y(n) be the first derivative of h(n). Factor y(j).
-(j - 3)**2*(j + 2)/9
Let j(x) be the first derivative of 7*x**6/6 - x**5 - 37*x**4/4 - 31*x**3/3 - 3*x**2 + 155. Solve j(v) = 0.
-1, -2/7, 0, 3
Let m(d) be the first derivative of 2*d**3/15 - 13*d**2/5 + 21. Factor m(y).
2*y*(y - 13)/5
Let f(y) be the first derivative of -y**4/6 - y**3/3 + 2*y**2 + 2*y - 17. Let q(o) be the first derivative of f(o). Factor q(l).
-2*(l - 1)*(l + 2)
Let v(g) = 19*g**4 + 28*g**3 + 9*g**2 - g - 23. Let z(s) = -7*s**4 - 10*s**3 - 3*s**2 + 8. Let l(t) = 4*v(t) + 11*z(t). Factor l(a).
-(a - 2)**2*(a + 1)**2
Let r(x) = -2*x**2 - 8*x + 2. Let o be r(-4). Let w(l) be the first derivative of -4/5*l**5 + 4/3*l**3 + 6 + 0*l - 1/2*l**4 + 1/3*l**6 + 0*l**o. Factor w(u).
2*u**2*(u - 2)*(u - 1)*(u + 1)
Suppose 3*p = -25 - 50. Let m be (-4)/(-10) + (-1 - 15/p). Factor -8/3*c**4 + 0*c - 8/3*c**3 + m - 2/3*c**2.
-2*c**2*(2*c + 1)**2/3
Let k(x) be the second derivative of 3*x**5/100 + 49*x**4