uppose -q - 30 = -4*x, -4*x + 4*q + 15 = -9. Factor 5*w**3 - 5*w + 2*w**2 - x - 2 + 5 + 3*w**2.
5*(w - 1)*(w + 1)**2
Let t(h) be the second derivative of 0*h**4 + 0*h**2 + 1/40*h**6 + h + 0*h**3 - 3/40*h**5 + 0. Factor t(b).
3*b**3*(b - 2)/4
Let p(z) = -3*z**2 + 4*z - 8. Let c(d) = -6*d**2 + 6*d - 15. Let a(b) = 4*c(b) - 9*p(b). Let a(w) = 0. Calculate w.
2
Let b be (-495)/99*(-3)/5. Let w(c) be the third derivative of 1/15*c**5 + 0 + 4/3*c**b - 10*c**2 + 0*c + 1/2*c**4. Let w(m) = 0. Calculate m.
-2, -1
Let j(g) = -9*g**2 - 15*g. Let x(y) = -y**2. Let t(p) = -j(p) + 6*x(p). Factor t(m).
3*m*(m + 5)
Factor 32 - 1/2*y**3 + 29/2*y**2 + 47*y.
-(y - 32)*(y + 1)*(y + 2)/2
Let u(r) be the first derivative of -5*r**7/6 - 23*r**6/6 - 27*r**5/4 - 65*r**4/12 - 5*r**3/3 - 3*r + 33. Let j(t) be the first derivative of u(t). Factor j(v).
-5*v*(v + 1)**3*(7*v + 2)
Let x(h) = -164*h - 162. Let u be x(-1). Let r(j) be the second derivative of 1/80*j**5 - 8*j**u + j - 1/4*j**4 + 0 + 2*j**3. Let r(k) = 0. Calculate k.
4
Let h(s) be the second derivative of -s**7/3150 - s**6/400 - s**5/300 + s**4 - 8*s. Let p(d) be the third derivative of h(d). Factor p(b).
-(b + 2)*(4*b + 1)/5
Suppose -2*s + 4*o = -4, s - 4 = -s + 2*o. Suppose 0 = -s*p + 15 - 9. Factor 3/2*k**2 + p*k + 3/2.
3*(k + 1)**2/2
Let d(o) be the first derivative of -o**6/240 + o**5/20 - o**4/4 + 2*o**3/3 - 5*o**2 + 8. Let m(g) be the second derivative of d(g). Let m(q) = 0. What is q?
2
Let n(f) be the second derivative of 0 + 1/8*f**3 - 1/32*f**4 + 0*f**2 - 2*f. Factor n(c).
-3*c*(c - 2)/8
Let y(d) = -5*d**3 + 40*d**2 - 31*d + 4. Let z(f) = -15*f**3 + 120*f**2 - 94*f + 11. Let s(g) = 11*y(g) - 4*z(g). Factor s(b).
5*b*(b - 7)*(b - 1)
Let f(y) = -2*y**2 + 7*y. Let p be (-5)/(10/6) - 1. Let m(r) = 3*r - 2*r + 2*r**2 - 7*r. Let s(c) = p*f(c) - 5*m(c). Find k, given that s(k) = 0.
0, 1
Let i(v) be the third derivative of 0*v - 8/3*v**3 - 1/30*v**6 - 4/3*v**4 - 1/3*v**5 + 18*v**2 + 0. Factor i(k).
-4*(k + 1)*(k + 2)**2
Factor -10*p**2 - 8*p**3 - 3*p + 4*p**4 + 6*p**3 - 11*p**3 + 7*p + 12*p**3 - p**5 + 8.
-(p - 2)**3*(p + 1)**2
Let i be (4/(-6)*-9)/(-2). Let u be 64/24 - i/9. Factor -2/9 - 4/9*h**2 + 2/9*h**5 + 4/9*h**u + 2/3*h**4 - 2/3*h.
2*(h - 1)*(h + 1)**4/9
Let i(w) be the first derivative of 3*w**5/5 - 6*w**4 - 11*w**3 + 27*w**2 + 760. Let i(h) = 0. What is h?
-2, 0, 1, 9
Suppose 21*q + 41*q - 186 = 0. Let g(h) be the first derivative of 0*h - 1/24*h**4 + 1/9*h**q - 7 - 1/12*h**2. Factor g(f).
-f*(f - 1)**2/6
Let c(q) = 2*q**4 - 9*q**3 - 17*q**2 + 9*q + 5. Let u(o) = -2*o**4 + 10*o**3 + 20*o**2 - 10*o - 6. Let d(r) = -6*c(r) - 5*u(r). Suppose d(n) = 0. Calculate n.
-1, 0, 1, 2
Let d(a) = 3*a**2 + 52*a**3 - 10*a - 115*a**3 - 57*a**3 + 55 + 7*a**2. Let g(s) = -11*s**3 + s**2 - s + 5. Let q(h) = 6*d(h) - 65*g(h). Factor q(z).
-5*(z - 1)*(z + 1)**2
Let l = 708478/205 - 3456. Let d = 404/615 - l. Factor 0 + 2/3*z**2 + 0*z + d*z**3.
2*z**2*(z + 1)/3
Let o(g) be the second derivative of g**6/240 - g**5/40 - 29*g**4/96 - g**3/2 - 10*g + 26. Factor o(l).
l*(l - 8)*(l + 1)*(l + 3)/8
Suppose 4/7 + 2/7*t**3 - 6/7*t + 0*t**2 = 0. What is t?
-2, 1
Let c = -11894/11145 - -2/3715. Let g = -4/15 - c. Suppose 6/5 - g*j - 2/5*j**2 = 0. Calculate j.
-3, 1
Let y(l) = 19*l**3 + 61*l**2 + 99*l - 179. Let s(u) = -10*u**3 - 30*u**2 - 50*u + 90. Let w(r) = 11*s(r) + 6*y(r). Factor w(c).
4*(c - 1)*(c + 3)*(c + 7)
Let j(t) be the first derivative of -2*t**5/25 + 5*t**4 - 544*t**3/5 + 4046*t**2/5 + 9826*t/5 - 249. Factor j(v).
-2*(v - 17)**3*(v + 1)/5
Let d be ((-9975)/100)/57 - -8. Suppose 2 - d*p**3 - 7*p - 1/4*p**5 + 19/2*p**2 + 2*p**4 = 0. What is p?
1, 2
Suppose -5*m - 4 = -t, -2*m - 6*t + 8*t = 8. Suppose 12*d + 3*d = m. Factor d + 22/9*x**2 + 14/9*x**4 + 32/9*x**3 + 4/9*x.
2*x*(x + 1)**2*(7*x + 2)/9
Suppose 12*t = 8*t + 8. Suppose 0*n - 2*o = -3*n + t, -4*n + 6 = -2*o. Let 6*f**2 + 14*f**3 - 8*f + 8/5 + 42/5*f**5 - 22*f**n = 0. What is f?
-2/3, 2/7, 1
Let a(v) be the second derivative of 0 - 5/3*v**3 - 1/2*v**4 + 2*v - 2*v**2. Let a(o) = 0. Calculate o.
-1, -2/3
Let d(x) be the second derivative of -2*x**6/45 + 2*x**5/3 - 25*x**4/9 + 2*x - 48. Find a such that d(a) = 0.
0, 5
Let i be (-10)/3*(-18)/12. Suppose -4*p + 15 + i = -2*j, -4*j = 3*p - 15. Factor 17*t**5 - 97*t**4 - 5*t**3 + 112*t**4 + 3*t**p.
5*t**3*(t + 1)*(4*t - 1)
Determine i, given that -5/3*i**4 - 2/3*i - 7/3*i**2 - 1/3*i**5 + 0 - 3*i**3 = 0.
-2, -1, 0
Factor 0 + 6/13*t**4 - 2*t**3 - 8/13*t + 32/13*t**2.
2*t*(t - 2)**2*(3*t - 1)/13
Let d be (-12)/(-16) + (-21)/60. Let -2/5*j + 0 - 6/5*j**2 - 6/5*j**3 - d*j**4 = 0. Calculate j.
-1, 0
Let a = -178 - -178. Let q = 28/5 + -79/15. What is p in q*p**2 + a*p - 1/3 = 0?
-1, 1
Factor 26 + 98/3*f + 6*f**2 - 2/3*f**3.
-2*(f - 13)*(f + 1)*(f + 3)/3
Let y(a) be the third derivative of -a**8/1344 + a**7/504 + a**6/144 - a**5/24 - 29*a**4/24 + 26*a**2. Let j(f) be the second derivative of y(f). Factor j(s).
-5*(s - 1)**2*(s + 1)
Let r(g) = 5*g - 4. Let q be r(8). Factor 4*l**2 - 27*l**3 - 8*l**2 - q*l**4 - 2*l**2 - 15*l**5.
-3*l**2*(l + 1)**2*(5*l + 2)
Suppose 12*c - 425 = -389. Factor 0 + 1/4*s**5 + 9/4*s**c + 5/4*s**4 + 1/2*s + 7/4*s**2.
s*(s + 1)**3*(s + 2)/4
Let t(u) = u**3 - u**2 + 2. Let r(k) = -21*k**3 + 163*k**2 - 234*k - 34. Let g(y) = -r(y) - 3*t(y). Factor g(z).
2*(z - 7)*(z - 2)*(9*z + 1)
Let h(s) be the third derivative of s**6/80 - 9*s**5/4 + 675*s**4/4 - 6750*s**3 + 68*s**2. Factor h(f).
3*(f - 30)**3/2
Let w(h) = -h**2 - h. Let q(x) = 15*x**2 - 12*x. Let u(m) = -q(m) - 18*w(m). Find r, given that u(r) = 0.
-10, 0
Let u(t) = 20*t**2 - 32*t - 5. Suppose -5*h - 10 = 3*j + 26, 2*h + 5*j = -22. Let g(p) = -7*p**2 + 11*p + 2. Let y(x) = h*u(x) - 17*g(x). Factor y(v).
-(v - 4)*(v - 1)
Let j = -13969/6 - -2338. Let x = j + -109/12. Solve x*k**2 + 12 + 6*k = 0.
-4
Let d = -1640 - -8201/5. Let x(l) be the first derivative of 2/9*l**3 - 1/18*l**6 - d*l**5 + 1/2*l**2 + 6 + 1/3*l - 1/6*l**4. Suppose x(t) = 0. What is t?
-1, 1
Suppose -4*d**4 + 556/15*d**3 - 676/15 + 598/5*d - 1616/15*d**2 + 2/15*d**5 = 0. Calculate d.
1, 2, 13
Let r(n) = -n**3 - 2*n**2 + 14*n - 7. Let i be r(2). What is c in -c**2 + 1/2*c**i + c**3 - 3/2*c + 3/2*c**4 - 1/2 = 0?
-1, 1
Let j = 39 + -36. Let b(u) = 8*u**3 - 8*u**2 - 17*u + 17. Let m(z) = 7*z**3 - 7*z**2 - 18*z + 18. Let p(r) = j*m(r) - 2*b(r). Factor p(s).
5*(s - 2)*(s - 1)*(s + 2)
Let o be (-5)/((-50)/115*-4 + -2). Let -12*s**4 - 3/2 - 43/2*s**3 - o*s**2 - 8/3*s**5 - 17/2*s = 0. What is s?
-1, -3/4
Let s(q) be the third derivative of 0 + 0*q**3 + 1/270*q**5 + 0*q + 23*q**2 - 1/108*q**4. Factor s(y).
2*y*(y - 1)/9
Let d(c) = -2*c - 6. Let p be d(-5). Let x be p*(-6)/(-8) - -7. Solve -x*s**2 + 6 + 2*s**3 + 6*s**4 - 2*s**2 - 3*s**5 - 3*s + 4*s**3 = 0.
-1, 1, 2
Let s(d) = 20*d**2 - 6*d + 44. Let r(g) = -6*g**2 + 2*g - 15. Let j(w) = -16*r(w) - 5*s(w). Factor j(z).
-2*(z - 2)*(2*z + 5)
Let m(c) be the third derivative of c**7/1050 + 11*c**6/600 - 13*c**5/300 - 11*c**4/120 + 2*c**3/5 - 104*c**2. Solve m(q) = 0.
-12, -1, 1
Suppose 460 = 346*z - 232. Suppose -4*q = -3*q. Factor 2/3*s**z + q + 0*s.
2*s**2/3
Let i(a) be the second derivative of -a**4/27 - 2*a**3/9 - 4*a**2/9 + 92*a - 2. Solve i(x) = 0.
-2, -1
Let p(y) be the first derivative of -y**4/26 - 14*y**3/39 + 103. Let p(g) = 0. What is g?
-7, 0
Let z(j) be the first derivative of -j**8/3360 + j**6/240 + j**5/120 + 11*j**3 + 24. Let c(x) be the third derivative of z(x). Find n, given that c(n) = 0.
-1, 0, 2
Let j(p) be the third derivative of -p**7/105 + p**6/20 + 8*p**5/15 + p**4 + 79*p**2. Factor j(s).
-2*s*(s - 6)*(s + 1)*(s + 2)
Let r(s) be the third derivative of 0 - 1/150*s**5 - 7*s**2 - 3/5*s**3 + 1/10*s**4 + 0*s. Factor r(f).
-2*(f - 3)**2/5
Factor 11/3*t + 20/3*t**2 + t**3 - 2.
(t + 1)*(t + 6)*(3*t - 1)/3
Let l be (-20)/(-110) - (-304)/264. What is s in l + 5/3*s**2 - 8/3*s - 1/3*s**3 = 0?
1, 2
Let g(u) be the third derivative of u**5/20 + 2*u**4 + 32*u**3 - 4*u**2 + 9*u. Factor g(z).
3*(z + 8)**2
Let f be 19 - 16 - (0 - -1). Factor 5*i + 10*i**f - 19*i**3 + 13*i**3 + 10*i**3 - i.
2*i*(i + 2)*(2*i + 1)
Let w = -9 + 3. Let u be (-1 - 4) + (-39)/w. What is x in -3/2*x + 0 + u*x**2 = 0?
0, 1
Suppose -q - 2 = -13. Let c = q - 8. Su