).
(t - 5)*(9*t - 2)/6
Let b(o) be the third derivative of -o**6/30 + 14*o**5/15 + o**4/6 - 28*o**3/3 + 9*o**2 - 3*o. Suppose b(y) = 0. What is y?
-1, 1, 14
Factor -7*m**3 - 2*m**3 + 33*m + 45*m**2 + 0*m**2 + 72*m**2 - 21*m**2.
-3*m*(m - 11)*(3*m + 1)
Suppose -3*t + 5 = -10, -15 = 4*k - 3*t. Let v(a) = a**3 + 39*a**2 + 75*a + 39. Let z be v(-37). Factor 10/9*w**4 + 2/3*w**3 - 2*w**z + 2/9*w**5 + k*w + 0.
2*w**2*(w - 1)*(w + 3)**2/9
Factor 0*l**2 + 2464*l**3 + 3*l**2 - 2463*l**3.
l**2*(l + 3)
Suppose -v = 3*z - 60 + 77, 5*z = 2*v - 43. Solve 14/9*d**v + 0 - 38/9*d**3 + 16/9*d**2 + 8/9*d = 0 for d.
-2/7, 0, 1, 2
Factor 4/5 - 6/5*r + 3/5*r**2 - 1/10*r**3.
-(r - 2)**3/10
Let g(j) = 5*j**4 - 60*j**2 + 10*j + 15. Let i(k) = k**2 + k - 1. Suppose -32 + 2 = z. Let u(x) = z*i(x) - g(x). Factor u(n).
-5*(n - 1)**3*(n + 3)
Let t(c) = 12*c**4 - 2*c**2 + 10. Let o(s) = -8 + 5*s - 6*s + s**3 + 0*s + s**4 + 9. Let j(q) = -20*o(q) + 2*t(q). Factor j(p).
4*p*(p - 5)*(p - 1)*(p + 1)
Let o(s) be the first derivative of 0*s + 18 - 10*s**3 + 45/2*s**2 + 5/4*s**4. Let o(k) = 0. What is k?
0, 3
Let p be 9/4 + 2/(-8). Let h be ((-26)/(-364))/(1/4). Let h*i**3 + 4/7*i**p + 0 + 2/7*i = 0. Calculate i.
-1, 0
Let k be 6/2 + 14/(-14). Suppose 0 = -5*p + k*w + 12, -2*w = 5*p + 3*w - 40. What is d in -3/2 - 3*d**3 + 0*d**2 + 3*d + 3/2*d**p = 0?
-1, 1
Let m = -2022 + 2025. Let v(q) be the second derivative of 1/10*q**5 + 0 + 13*q + 1/6*q**4 + 0*q**2 - 2/3*q**m. Factor v(g).
2*g*(g - 1)*(g + 2)
Let b be (-2)/(-3)*(11/(-2))/(-11). Let h(f) be the first derivative of -b*f**2 - 2 - 2/9*f + 8/27*f**3. Factor h(y).
2*(y - 1)*(4*y + 1)/9
Let p(c) = 2*c**2 + 53*c + 351. Let n be p(-13). Factor n + 2/9*i**2 - 8/9*i.
2*i*(i - 4)/9
What is p in 2 - 3 - 12*p**4 - 9 + 254*p**2 + 4*p**3 + 26*p - 232*p**2 - 30*p**3 = 0?
-5/2, -1, 1/3, 1
Let n(r) = -r**4 - r**2 - 1. Let x(s) = -s**5 - 6*s**4 - 7*s**2 - 7. Let o be (1*-1)/(3 + 5/(-2)). Let c(a) = o*x(a) + 14*n(a). Factor c(m).
2*m**4*(m - 1)
Factor 2/15*b**3 + 32/15*b + 4/3*b**2 + 0.
2*b*(b + 2)*(b + 8)/15
Let u(f) be the second derivative of f**5/4 - 35*f**4/6 - 50*f**3/3 + 1500*f**2 + 253*f. Determine d so that u(d) = 0.
-6, 10
Let y(b) be the second derivative of -b**5/90 + 11*b**4/54 + 2*b - 24. Find g, given that y(g) = 0.
0, 11
Let b(r) be the first derivative of 2*r**3/3 - 15*r**2 + 30*r - 55. Let h be b(14). Factor -2/13*j**3 - 2/13*j + 0 - 4/13*j**h.
-2*j*(j + 1)**2/13
Let h(b) = 21*b - 585. Let n be h(28). Factor -2/17*q + 4/17*q**2 + 0 - 4/17*q**4 + 0*q**n + 2/17*q**5.
2*q*(q - 1)**3*(q + 1)/17
Let n be 7784/1568 - (-3)/4. Suppose n*q**3 + 80/7*q**2 + 10/7*q**4 + 80/7*q + 32/7 + 1/7*q**5 = 0. What is q?
-2
Let y be (-70)/(-21)*6/5. Let f be (-2 - 0)/y - (-3)/4. Find a, given that 1/4*a**4 - 1/2*a**2 - 1/4*a**5 + 1/2*a**3 - 1/4*a + f = 0.
-1, 1
Let m(c) = -c**3 - 21*c**2 + 34*c - 13. Let o be m(-24). Let n = o - 9879/11. Factor 0*g - n*g**4 + 0 + 14/11*g**3 - 4/11*g**2.
-2*g**2*(g - 1)*(5*g - 2)/11
Factor -k**4 - 2*k**2 + 126*k**3 + 0 + 4 - 123*k**3 - 4.
-k**2*(k - 2)*(k - 1)
Let 3*t - 2*t - 3*t - t**3 - 2*t**2 - t**2 = 0. Calculate t.
-2, -1, 0
Determine y so that -8/3*y - 2/3*y**3 + 0 + 8/3*y**2 = 0.
0, 2
Let x = 1/2862 - -1907/2862. Let i(n) be the second derivative of 10/3*n**3 - 3/5*n**5 - x*n**4 + 8*n**2 + 0 - 5*n. Factor i(v).
-4*(v + 1)**2*(3*v - 4)
Let s be 13 - (2/6 + 4 + -5). Let d = 15 - s. Factor -10/3*y**4 + 0*y - d*y**2 + 14/3*y**3 + 0.
-2*y**2*(y - 1)*(5*y - 2)/3
Let l = 0 - 0. Suppose 0 = -5*b + 4 + 11. Suppose 1/3*w**2 - 1/3*w**b + 0 + l*w = 0. Calculate w.
0, 1
Let j(c) = -4*c**2 - 4*c + 3. Let q(f) = -f**2 - f + 1. Let o(l) = -2*j(l) + 6*q(l). Solve o(u) = 0 for u.
-1, 0
Suppose 0 = 6*q - 5*q - 4. Find x such that 2*x**q - 2*x**3 + 2*x**4 + 3*x**4 - 2*x**5 - 3*x**4 = 0.
0, 1
Let v(n) be the second derivative of 0*n**2 - 16*n + 0 + 1/39*n**3 - 1/78*n**4. Factor v(q).
-2*q*(q - 1)/13
Let i(g) = -40*g**3 - 40*g**2 + 5*g + 5. Let k(s) = -s**3 + s**2 + s - 1. Let d(l) = i(l) + 5*k(l). Solve d(m) = 0 for m.
-1, 0, 2/9
Let z(m) be the third derivative of -1/2*m**3 + 0 + 22*m**2 + 0*m + 0*m**4 + 1/20*m**5. Factor z(w).
3*(w - 1)*(w + 1)
Let j = -21 + 23. Factor 16*y**3 + 3*y**2 - y**3 - 3*y + 2*y - j*y + 9*y**4.
3*y*(y + 1)**2*(3*y - 1)
Let n = 25 + -20. Factor -6*t**2 + 20*t**5 - 15*t**n + 3*t + 6*t**4 - 8*t**5.
-3*t*(t - 1)**3*(t + 1)
Let r = -131 + 125. Let q be (r/35)/(27/(-63)). What is s in -q*s**3 + 0*s - 6/5*s**2 + 0 = 0?
-3, 0
Let p = -18/35 - -4/5. Factor -2/7*g + 4/7*g**2 - 4/7 + p*g**3.
2*(g - 1)*(g + 1)*(g + 2)/7
Suppose 10 = -5*m, -321 = -3*d - 3*m - 63. Let j = d + -436/5. Solve 4/5*l**2 + 0 + j*l = 0 for l.
-1, 0
Let q(f) = 5*f**2 - 24*f + 16. Let d(l) = 15*l**2 - 71*l + 49. Let r(g) = -4*d(g) + 11*q(g). Factor r(n).
-5*(n - 2)**2
Suppose z - 4*v + 16 = 0, -3*z + v = -0*z - 7. Factor -l**4 + 20*l + 12*l**2 + 0*l**3 - 4*l**3 + 8 - 3*l**z.
-4*(l - 2)*(l + 1)**3
Let s = 730 - 728. Let g(o) be the second derivative of 1/189*o**7 + 0 + 1/9*o**2 + 1/135*o**6 - 1/27*o**4 - 1/45*o**5 + 1/27*o**3 + s*o. Factor g(v).
2*(v - 1)**2*(v + 1)**3/9
Let -48/11*s**3 + 2/11*s**5 + 4/11*s**4 + 0*s**2 + 0*s + 0 = 0. Calculate s.
-6, 0, 4
Factor 4 + 26*o**2 + 15*o**2 + 24*o - 48*o**2 + 18*o**2.
(o + 2)*(11*o + 2)
Let t = 15 - 12. Factor -t*k**2 + 12*k - 15 + 2*k**2 + k**2 + 3*k**2.
3*(k - 1)*(k + 5)
Let i(n) be the second derivative of -n**4/8 - 2*n**3 - 9*n**2 + 12*n - 1. Factor i(t).
-3*(t + 2)*(t + 6)/2
Let s(u) = 5*u**3 + 26*u**2 + 27*u + 2. Let d(c) = 3*c**3 + 8*c**3 - 1 - 12*c**3 + 0*c**3 - c**2. Let q(l) = 4*d(l) - s(l). Determine o, given that q(o) = 0.
-2, -1, -1/3
Suppose 3*t + 4*u = 20, -3*t + 2*u + 5 = 15. Suppose -39 - 201 = -48*m. Find s, given that 0 - s**3 - 1/2*s**m + t*s + 3/2*s**4 + 0*s**2 = 0.
0, 1, 2
Suppose 4 = 4*r - 5*n + 9, 3 = r + 3*n. Factor j**2 + 1/2*j**3 + 0 + r*j.
j**2*(j + 2)/2
Let t(v) be the third derivative of -v**7/2310 - v**6/440 + v**5/132 + v**4/88 - 2*v**3/33 - v**2 + 64. Find o, given that t(o) = 0.
-4, -1, 1
Suppose -r + 14 = -6. Factor -17*h**2 + 16*h - 32 - 109*h**4 + 113*h**4 + 41*h**2 - r*h**3.
4*(h - 2)**3*(h + 1)
Let a(t) be the third derivative of t**5/300 - t**4/20 + t**3/6 - 22*t**2 + t. Factor a(i).
(i - 5)*(i - 1)/5
Let g(x) be the second derivative of x**6/150 - 13*x**5/25 + 169*x**4/15 - x - 9. Let g(c) = 0. Calculate c.
0, 26
Let v(b) be the second derivative of -5*b**7/42 - b**6 - 11*b**5/4 - 5*b**4/6 + 10*b**3 + 20*b**2 - 158*b. What is u in v(u) = 0?
-2, -1, 1
Let q = -610/11 - -630/11. Let x(y) = 3*y**3 + y**2 - 4*y + 2. Let i be x(1). Factor 20/11*o**3 + 2/11 + 2/11*o**5 + q*o**i + 10/11*o + 10/11*o**4.
2*(o + 1)**5/11
Let k(i) be the third derivative of 0*i**3 - 1/120*i**6 - 1/420*i**7 + 0 + 0*i + 0*i**4 - 5*i**2 - 1/120*i**5. Factor k(s).
-s**2*(s + 1)**2/2
Let o be 28/(-24)*42/(-98). Let h(c) be the first derivative of 0*c**3 + 0*c + 6/5*c**5 - 4 + 0*c**2 + o*c**6 + 3/4*c**4. Let h(f) = 0. Calculate f.
-1, 0
Let q(z) = -z**3 + z**2 + 2*z + 2. Let h(t) = -5*t**4 + 9*t**3 + t**2 - 3*t + 22. Let d(y) = h(y) - 6*q(y). Factor d(n).
-5*(n - 2)*(n - 1)**2*(n + 1)
Suppose -3*r = 4*s - 29, 3*r - 3*s + 2*s = 4. Let v(c) be the second derivative of 0 + 0*c**r + 1/36*c**4 - 4*c - 1/6*c**2. Solve v(n) = 0 for n.
-1, 1
Factor 3*n**5 - 22*n**4 - 3*n - 27*n**3 - 66*n**2 + 53*n**4 - 25*n**4 + 15*n + 72.
3*(n - 3)*(n - 1)*(n + 2)**3
Let i(x) be the third derivative of -1521*x**7/140 - 4589*x**6/40 - 126013*x**5/360 - 353*x**4/12 - x**3 + 193*x**2 - x. Factor i(d).
-(d + 3)**2*(117*d + 2)**2/6
Suppose -5*f - 58 = 242. Let y be ((-3)/4)/(5/f). Find p such that -6*p + 5*p**3 - y*p - 13*p**3 + 5*p**3 - 6 - 12*p**2 = 0.
-2, -1
Suppose -7*m = -m - 24. Suppose 1 = -o - 3*u + 2*u, 0 = -m*o - 2*u + 4. Determine p so that 0 - 2/9*p**5 - 2/9*p**4 + 0*p + 4/9*p**o + 0*p**2 = 0.
-2, 0, 1
Let w(x) = -x**2 + 2*x + 7. Let h be w(3). Let n(j) be the second derivative of -j + 3/8*j**2 + 1/16*j**h + 0 + 1/4*j**3. Find y such that n(y) = 0.
-1
Find z, given that 5*z**4 + 3571 + 141*z**3 + 1155*z + z**4 + 927*z**2 - 3208 = 0.
-11, -1, -1/2
Let p(y) be the first derivative of -y**5/330 - y**4/44 - 2*y**3/33 + 17*y**2 - 23. Let w(b) be the second derivative of p(b). Factor w(z).
-2*(z + 1)*(z + 2)/1