(w). Factor p(y).
3*(y - 10)**2*(y - 1)*(y + 1)
Let f(q) be the second derivative of q**6/180 - q**5/120 - q**4/24 + 3*q**3/2 - 11*q. Let g(y) be the second derivative of f(y). Factor g(p).
(p - 1)*(2*p + 1)
Let n(u) be the third derivative of -5*u**7/168 + 7*u**6/72 - u**5/12 + 23*u**3/6 - 15*u**2. Let d(b) be the first derivative of n(b). What is p in d(p) = 0?
0, 2/5, 1
Let p(k) be the second derivative of -11*k + 64/13*k**2 + 0 + 16/13*k**3 + 1/130*k**5 + 2/13*k**4. Factor p(i).
2*(i + 4)**3/13
Let m be (7 + -11)/(-3 + 1). Let z(o) be the first derivative of o**m - 9*o**3 + 7*o**2 - 3*o + 8 + o**2. Let z(b) = 0. What is b?
1/3
Let m(c) be the first derivative of 21*c**4/8 + 9*c**3/2 - 690. Factor m(z).
3*z**2*(7*z + 9)/2
Let t = -30 + 35. Suppose -i - 912 = -t*i. Determine x so that 2*x + 3*x**2 + 228 + x**3 - i = 0.
-2, -1, 0
Let n(h) be the third derivative of -h**6/80 - 11*h**5/10 - 35*h**4 - 400*h**3 - 19*h**2 + 6*h. Factor n(o).
-3*(o + 4)*(o + 20)**2/2
Suppose 0 = 6*s + 2*s + 24. Let a(c) = -5*c**2 - 10*c. Let i(p) = 10*p**2 + 20*p. Let b(v) = s*i(v) - 7*a(v). Factor b(u).
5*u*(u + 2)
Let h(m) be the first derivative of -13/9*m**2 + 16/27*m**3 + 37 - 1/18*m**4 + 4/3*m. Factor h(o).
-2*(o - 6)*(o - 1)**2/9
Let m(u) = -u**4 - 3*u**3 - u. Let n(x) = -6*x**4 - 4*x**3 + 63*x**2 - 88*x. Let w(r) = -14*m(r) + 2*n(r). Factor w(h).
2*h*(h - 1)*(h + 9)**2
Factor 686000 + 1/4*k**3 + 14700*k + 105*k**2.
(k + 140)**3/4
Let j be (4 - 44/8)*-2. Let l = -2 - -4. Determine u, given that -3*u**4 - 3*u**2 + 3*u**j + 6*u**l + 3*u**3 - 6*u = 0.
-1, 0, 1, 2
Find r such that 4*r**3 - 3*r**3 + 266*r**2 + 283*r**2 - 559*r**2 + 24*r = 0.
0, 4, 6
Factor -41*f + 0*f**3 - 17*f + 121*f - f**3 - 60 - 2*f**3.
-3*(f - 4)*(f - 1)*(f + 5)
Let x = 40/3 + -65/6. Let g(i) be the first derivative of -2*i - 2 + x*i**2 - i**3. Factor g(z).
-(z - 1)*(3*z - 2)
Suppose 3*o - 5*r = 97, -r - r = -o + 34. Suppose 8 = -4*m + o. Solve 0*q + 0 + 686/5*q**5 + 588/5*q**m + 168/5*q**3 + 16/5*q**2 = 0 for q.
-2/7, 0
Suppose c - 9 = -4*u + 2*c, -2*u = 3*c - 1. Find m, given that 6*m**u - 6 - 7*m**3 + m**3 + 8*m**3 + 3*m - 5*m**3 = 0.
-1, 1, 2
Determine n, given that 14/11*n**3 + 2/11*n**5 + 6/11*n**2 + 10/11*n**4 + 0 + 0*n = 0.
-3, -1, 0
Let b(v) be the third derivative of -v**8/112 - 3*v**7/35 - 7*v**6/40 + 3*v**5/10 + v**4 + 3*v**2 - 10. Find j such that b(j) = 0.
-4, -2, -1, 0, 1
Let w(x) = -36*x**2 - 412*x + 480. Let u(n) = 7*n**2 + 83*n - 96. Let g(k) = 16*u(k) + 3*w(k). Let g(p) = 0. Calculate p.
-24, 1
Let w = -51 + 57. Let y be (-272)/(-112) - w/14. Factor 0*l**y - 1 + 1/2*l**3 - 3/2*l.
(l - 2)*(l + 1)**2/2
Let c be (-72)/45*5/(-1). Let n = 12 - c. Factor -2*z**2 + 0*z + 2*z**n + 4*z**3 - 4*z + 0*z.
2*z*(z - 1)*(z + 1)*(z + 2)
Let n(i) = i + 11. Let k be n(-6). Let p be 1 + (-6)/k - (-18)/40. Solve -p + 0*o - 1/4*o**4 + 1/2*o**2 + 0*o**3 = 0.
-1, 1
Let p(k) = k**2 - 14*k - 204. Let z be p(23). Factor 4/7*m**z + 0*m**4 - 4/7*m**5 + 0 + 0*m + 0*m**2.
-4*m**3*(m - 1)*(m + 1)/7
Let h(m) be the second derivative of -2/15*m**3 - 6*m - 1/210*m**7 - 1/150*m**6 + 0 + 1/20*m**5 - 2/5*m**2 + 1/12*m**4. Determine y, given that h(y) = 0.
-2, -1, 1, 2
Let o(k) be the first derivative of 3*k**4/4 - 60*k**3 + 1800*k**2 - 24000*k - 8. Let o(b) = 0. What is b?
20
Let m be (4/(-5))/(12/(-30)). Suppose -m*c - 4*b - 2 = 3*c, 4*c + b = 5. Factor 1 + c - 2*k**2 - 1.
-2*(k - 1)*(k + 1)
Let r = 389 + -212. Solve -1 + w + 88*w**2 - r*w**2 - w**3 + 0*w**3 + 90*w**2 = 0.
-1, 1
Let z = 465/716 - -18/179. Suppose -1/4*l**4 + 0*l + 0 - z*l**2 + l**3 = 0. Calculate l.
0, 1, 3
Let x = 16694 + -83469/5. Suppose -3*y + 2 = p - 0*p, -5*p - 5*y = -10. Solve -1/5*z**p + 0 - x*z = 0 for z.
-1, 0
Let b(a) be the first derivative of a**8/672 + a**7/105 + a**6/120 - a**5/30 - a**4/16 - a**2/2 + 6. Let v(l) be the second derivative of b(l). Factor v(f).
f*(f - 1)*(f + 1)**2*(f + 3)/2
Factor 0 + 1/2*g**3 + 0*g**2 - 8*g.
g*(g - 4)*(g + 4)/2
Let i be (10/25)/(-2) + 2/10. Suppose 5*z - 2*c - 4 = i, 3*z - 3*c = 7*z - 17. Factor -1/5*o**z - 2/5*o + 0.
-o*(o + 2)/5
Suppose 0 = -3*d + 4*l + 17, 0 = 5*d - 3*l - 14 - 29. Suppose -5 = 3*g - d. Factor 10/11*i**g - 32/11*i + 8/11 + 50/11*i**3.
2*(i + 1)*(5*i - 2)**2/11
Factor -36/7*r - 16/7 - 2*r**3 + 66/7*r**2.
-2*(r - 4)*(r - 1)*(7*r + 2)/7
Let o be (-1)/(-3 + 32/12). Suppose 0*a = -2*a + 8. What is j in j**5 + j**3 + 0*j**o + 0*j**a + 2*j**4 = 0?
-1, 0
Suppose 0 = 4*l - 14 - 2. Determine y, given that -3*y**l + 931*y - 931*y = 0.
0
Let h be (-142)/(-8) - 6/8. Suppose 0 = -4*z - 1 + h. Factor -18*m**2 + 2*m**z - m**3 - m**5 + 18*m**2.
-m**3*(m - 1)**2
Factor 2 - 2 - 40*j**3 - 14*j**4 - 6*j**4 + 15*j**4.
-5*j**3*(j + 8)
Let g(o) be the first derivative of -o**6/24 + 2*o**5/5 - 25*o**4/16 + 19*o**3/6 - 7*o**2/2 + 2*o + 17. Factor g(c).
-(c - 2)**3*(c - 1)**2/4
Let j(d) = 17*d**4 + 3*d**3 - 9*d**2 - 22*d - 6. Let y(n) = 5*n**4 + n**3 - 3*n**2 - 7*n - 2. Let t(g) = -2*j(g) + 7*y(g). Factor t(c).
(c - 2)*(c + 1)**3
Solve 0 - 7497/5*x**2 - 7203/5*x - 297/5*x**3 - 3/5*x**4 = 0.
-49, -1, 0
Let i(w) be the third derivative of w**6/24 - 2*w**5/3 + 65*w**4/24 - 5*w**3 + 190*w**2. Factor i(b).
5*(b - 6)*(b - 1)**2
Factor 12*j**4 - 13*j**3 + 152*j**2 + 28 - 18478*j**5 + 34*j**3 + 67*j**3 + 18474*j**5 + 108*j.
-4*(j - 7)*(j + 1)**4
Let h be (-6)/(-10) - 516/360 - 187/(-66). Let 8/3*v**2 - 22/3*v - h = 0. Calculate v.
-1/4, 3
Let r(f) = -5*f - 46. Let h be r(-11). Factor 3*a**5 + a**3 - 10*a**3 - h*a**3 - 4*a**4 + 7*a**4 + 15*a - 9 + 6*a**2.
3*(a - 1)**3*(a + 1)*(a + 3)
Suppose -2*q + 0*q = -4*u + 6, 5*u - 27 = -4*q. Let y(t) be the first derivative of 4 - 2 + 3 + t**q. Determine r so that y(r) = 0.
0
Determine q so that -1/4*q**2 + 0*q + 1 = 0.
-2, 2
Suppose d + 8*d = 27. Factor -3*g**2 + d*g**2 - 4*g**2 - 2*g**3 - 12*g + 10*g.
-2*g*(g + 1)**2
Let c be 2/2*14/7. Suppose -4*t - 4 = c*x, -4*x + 0*t + 4*t + 16 = 0. Solve -x*d**3 + 3 - 6 + 6*d**2 - 6*d + 5 = 0 for d.
1
Let x(k) be the second derivative of 0 + 9/2*k**2 + 6*k + 1/12*k**4 + k**3. Factor x(q).
(q + 3)**2
Let l = -37281 + 37283. Factor 7/2*o + 3 + 1/2*o**l.
(o + 1)*(o + 6)/2
Let b = -1571 - -3147/2. Find d such that b*d**2 + 245/2 + 35*d = 0.
-7
Solve 18*p**3 + 27*p**2 - 8*p - 10*p**4 - 4*p - 2*p**4 - 7*p**4 - 36 + 22*p**4 = 0 for p.
-3, -2, 1
Let w(u) be the second derivative of -u**7/168 + 3*u**6/40 + u**5/5 + u**4/4 - 10*u. Let h(n) be the third derivative of w(n). Find p, given that h(p) = 0.
-2/5, 4
Let t be ((-10)/((-150)/(-9)))/((-12)/8). Factor t*w + 1/5*w**2 + 0.
w*(w + 2)/5
Let d = -41 + 42. Solve 3*g - 3*g**3 - 3 - 4*g + 4*g**2 + 6*g + d = 0.
-1, 1/3, 2
Let h(k) = -6*k + 9. Let f be h(-2). Determine q, given that -180*q**4 - 2 - f*q**3 + 48*q - 78*q**3 - 14 - 69*q**3 + 76*q**2 = 0.
-1, -2/3, 1/3, 2/5
Let s be 64/(-10) + 2/5. Let q(k) = k**2 - k - 2. Let d(c) = -c**2 + c + 2. Let g(l) = s*d(l) - 7*q(l). Find a, given that g(a) = 0.
-1, 2
Let x(g) = -45*g**3 - 260*g**2 + 1255*g - 1360. Let b(q) = 11*q**3 + 65*q**2 - 314*q + 340. Let y(l) = -25*b(l) - 6*x(l). Determine k, given that y(k) = 0.
-17, 2
Let w(v) be the second derivative of v**8/560 + v**7/140 + v**6/120 + 13*v**3/6 + 5*v. Let r(n) be the second derivative of w(n). Factor r(g).
3*g**2*(g + 1)**2
Let k(x) = -4*x**3 + 26*x**2 + 89*x - 320. Let w(t) = 2*t**3 - 12*t**2 - 45*t + 160. Let m(f) = 3*k(f) + 7*w(f). Factor m(v).
2*(v - 4)**2*(v + 5)
Let u(g) be the third derivative of -23*g**2 + 1/1260*g**7 + 0 + 1/360*g**5 + 0*g + 1/48*g**4 - 1/18*g**3 - 1/240*g**6. Factor u(s).
(s - 2)*(s - 1)**2*(s + 1)/6
Let v(c) = -c**2 - 8*c - 14. Let q be v(-4). Factor -42*f - 83 + 11*f**2 - 64 - f**q - 13*f**2.
-3*(f + 7)**2
Suppose -6*b + 0 + 2/3*b**2 = 0. What is b?
0, 9
Let a be ((-5)/12)/(-22 + 21). Let x(n) be the second derivative of 5*n + 0 - 5/6*n**3 + a*n**4 + 0*n**2. Factor x(s).
5*s*(s - 1)
Let t(d) = -5*d + 2*d + 3*d - 3*d. Let o be t(-2). Let -11 - 2*a**2 + 5 + 2 + o*a = 0. Calculate a.
1, 2
Let o(v) be the third derivative of v**6/72 - v**5/8 - 5*v**4/6 + 13*v**3/2 + 9*v**2. Let n(k) be the first derivative of o(k). Factor n(b).
5*(b - 4)*(b + 1)
Factor 4*l**5 - 12*l**3 - 14*l - 43*l**2 + 4*l**4 + 39*l**2 + 22*l.
4*l*(l - 1)**2*(l + 1)*(l + 2)
Let m(t) be the first der