. Factor r(j).
-j*(j - 1)*(j + 1)**2/2
Let p(r) = 4*r - 6. Let d be p(1). Let j be (1 + (2 - d))*(-1)/(-1). What is l in 0 + 0*l - 4/5*l**j - 4/5*l**3 + 0*l**2 + 8/5*l**4 = 0?
0, 1
Let w(v) be the third derivative of -3*v**7/770 - v**6/66 - v**5/165 + v**2 - 145. Factor w(t).
-t**2*(t + 2)*(9*t + 2)/11
Let f(r) = 4*r**4 + 12*r**3 + 20*r**2 - 32*r. Let x(l) = -6*l**4 - 13*l**3 - 21*l**2 + 32*l. Let a(j) = -5*f(j) - 4*x(j). Factor a(s).
4*s*(s - 2)**2*(s + 2)
Let y(b) = b**2 - 2*b. Let x be y(2). Let c be ((-6)/(-39))/((-36)/(-312)). Find j, given that -5/3*j**3 + c*j**4 + 2/3*j**2 + 0*j - 1/3*j**5 + x = 0.
0, 1, 2
Suppose z = -1 + 2. Let w = z + 2. Factor 4*n**w - 7*n**2 - 10*n**3 - 6*n - 8*n**2.
-3*n*(n + 2)*(2*n + 1)
Let a(r) = 21*r**3 - 6*r**2 - 18*r - 3. Let b(n) = -n**4 - 20*n**3 + 5*n**2 + 18*n + 2. Let q(w) = -2*a(w) - 3*b(w). Determine i so that q(i) = 0.
-6, -1, 0, 1
Let s(n) = -n**5 - n**2 + n + 1. Let o(z) = -10*z**4 - 16*z**3 + 22*z**2 + 2*z + 2. Let l(d) = -o(d) + 2*s(d). Let l(p) = 0. Calculate p.
-2, 0, 1, 6
Let b(a) = -a**2 + a - 1. Suppose 6*o + 3*h + 5 = o, -4*o - 2*h = 4. Let v(f) = 4*f**2 - 5*f + 6. Let w(s) = o*v(s) - 5*b(s). Factor w(l).
(l - 1)*(l + 1)
Suppose s - 11 = -w - 3, -4*s = -3*w - 32. Let o = -4 + s. Find b, given that -6/5*b**2 - 3/5*b**5 - 6/5*b**3 + 9/5*b - 3/5 + 9/5*b**o = 0.
-1, 1
Let m(o) = -3*o**3 - 9*o**2 - 2*o - 2. Let g(l) = l**3 + 2*l**2 - l + 1. Let f(r) = 6*g(r) + 3*m(r). Factor f(s).
-3*s*(s + 1)*(s + 4)
Suppose 67 = -4*w + 79. Factor 3*y**2 - 3*y**2 + 4*y**4 + 3*y**w - 38*y**5 + 39*y**5.
y**3*(y + 1)*(y + 3)
Let c(o) be the second derivative of o**7/105 + 2*o**6/75 + o**5/50 - 18*o. Factor c(f).
2*f**3*(f + 1)**2/5
Let 3*o**3 - 5 - 5*o**3 - 11 - 1031*o**2 + 1043*o**2 - 2*o**3 = 0. Calculate o.
-1, 2
Let m be (-47)/(-45) + (-166 - -165). Let b(q) be the second derivative of 0*q**2 - m*q**5 + 1/54*q**4 + 0*q**3 - 4*q + 1/45*q**6 + 0. Factor b(u).
2*u**2*(u - 1)*(3*u - 1)/9
Let w be 511/(-3577) + (-33)/(-35). Factor -16/5 - w*d**2 - 16/5*d.
-4*(d + 2)**2/5
Let v(b) be the first derivative of 5*b**4/28 - 29*b**3/21 - 3*b**2/7 - 156. Factor v(g).
g*(g - 6)*(5*g + 1)/7
Let m(o) be the first derivative of 2*o**6 - 39*o**5 + 138*o**4 - 202*o**3 + 138*o**2 - 39*o - 308. Determine x, given that m(x) = 0.
1/4, 1, 13
Let n(t) = -t**2 - t + 3. Let f be n(0). Suppose -18 - 9*h**2 + 2*h**3 - 35*h - 7*h**3 + f - 16*h**2 = 0. Calculate h.
-3, -1
Factor -36044 + 7221*l + 41090 + 77*l**3 + 3*l**4 - 242*l**3 + 2007*l**2.
3*(l - 29)**2*(l + 1)*(l + 2)
Let d = -14/6575 + 528142/1005975. Let a = d + -4/51. Factor 0*q**3 - 2/3*q**4 + 0*q - a*q**5 + 0 + 2/9*q**2.
-2*q**2*(q + 1)**2*(2*q - 1)/9
Suppose 0 - 1/4*v**3 - 3/2*v - 5/4*v**2 = 0. Calculate v.
-3, -2, 0
Let b(a) = -a**4 + a - 1. Let j(w) be the second derivative of -w**6/2 + 3*w**5/4 - 5*w**2/2 + 30*w. Let r(p) = 5*b(p) - j(p). Find q, given that r(q) = 0.
-1/2, 0, 1
Let l be (-824)/168 + 9 + -4 + (-10)/(-42). Factor 2/3*t + l + 1/3*t**2.
(t + 1)**2/3
Let k(i) = -i**2 - 5*i - 2. Let x(c) = 8*c - 92. Let z be x(11). Let u be k(z). Factor 1/4*r**u - r + 1.
(r - 2)**2/4
Factor -16*i**2 - 9680*i + 51*i**2 + 9705*i - 30 - 5*i**4 - 25*i**3.
-5*(i - 1)**2*(i + 1)*(i + 6)
Let v(p) be the first derivative of p**6/30 - p**5/20 - 9*p**2/2 - 33. Let f(z) be the second derivative of v(z). Solve f(k) = 0 for k.
0, 3/4
Let v(t) be the second derivative of 0*t**3 + 1/26*t**4 + 0*t**2 + 4*t - 1/195*t**6 + 0 - 1/65*t**5. Factor v(c).
-2*c**2*(c - 1)*(c + 3)/13
Let l be (-28)/(-14) - 3/(-3). Let x(g) be the second derivative of 2/15*g**l + 3*g + 0*g**2 + 0 - 1/30*g**4. Factor x(w).
-2*w*(w - 2)/5
Suppose -25*i + 53 = 53. Factor 0*m + i*m**2 - 5*m**4 + 0 - 10/3*m**3 - 5/3*m**5.
-5*m**3*(m + 1)*(m + 2)/3
Let y = -9027 + 9042. Solve y*s + 9/2 + 9*s**3 + 3/2*s**4 + 18*s**2 = 0.
-3, -1
Let a(p) be the second derivative of p**7/504 + p**6/48 + p**5/12 + 5*p**4/12 + 15*p. Let d(y) be the third derivative of a(y). Solve d(x) = 0 for x.
-2, -1
Let r = -389759/168 - -2320. Let j(f) be the second derivative of -r*f**7 - 1/60*f**6 + 7/24*f**3 + 0 + 1/40*f**5 + 1/4*f**2 - 6*f + 1/6*f**4. Factor j(h).
-(h - 2)*(h + 1)**4/4
Let v = 99 - 33. Let w = v + -66. Let -2/3*s**4 + w*s + 0 - 2/3*s**5 + 2/3*s**2 + 2/3*s**3 = 0. What is s?
-1, 0, 1
Determine v so that 18*v**3 - 40 + 4*v**2 - 16*v**3 - 30*v - 32 = 0.
-3, 4
Let w(c) = -4*c**4 - 2*c**3 + 13*c**2 - 7*c. Let o be (77/(-33))/((-2)/(-6)). Let z(q) = -3*q**4 - q**3 + 9*q**2 - 5*q. Let g(i) = o*z(i) + 5*w(i). Factor g(y).
y**2*(y - 2)*(y - 1)
Let p(x) be the third derivative of -x**7/1260 + x**6/120 - x**5/30 + 3*x**4/8 + 22*x**2. Let a(y) be the second derivative of p(y). Let a(w) = 0. Calculate w.
1, 2
Let u(d) be the first derivative of -1/1080*d**6 + 0*d - 1/18*d**4 - d**3 - 2 + 0*d**2 + 1/90*d**5. Let w(b) be the third derivative of u(b). Factor w(a).
-(a - 2)**2/3
Let f(l) be the first derivative of l**5/10 - 15*l**4/8 + 13*l**3/6 + 15*l**2/4 - 7*l + 79. Factor f(q).
(q - 14)*(q - 1)**2*(q + 1)/2
Let o(y) be the second derivative of -y**6/60 + y**4/12 + 3*y**2/2 + 12*y. Let l(k) be the first derivative of o(k). Factor l(c).
-2*c*(c - 1)*(c + 1)
Let r be (420/75)/(3/(-15)). Let n be 5/25 - r/10. Factor 1/3*i**4 - 1/3*i**2 - 1/3*i**n + 1/3*i**5 + 0 + 0*i.
i**2*(i - 1)*(i + 1)**2/3
Let r be 4/6 + 288/(-27). Let c be (36/(-45))/(4/r). Factor -3*m**2 - 5*m - c*m + m + 9.
-3*(m - 1)*(m + 3)
Let r(c) = c**4 - 3*c**3 + 8*c**2 - 6*c + 9. Let i(h) = -h**2 + h - 1. Let s(q) = 36*i(q) + 4*r(q). Factor s(z).
4*z*(z - 3)*(z - 1)*(z + 1)
Factor 7/2 - 4*q + 1/2*q**2.
(q - 7)*(q - 1)/2
Let i(v) be the first derivative of -2*v**3/21 - 41*v**2/7 + 12*v + 452. Factor i(s).
-2*(s - 1)*(s + 42)/7
Let p(t) = t**3 - 3*t**2 - 21*t + 21. Let m be p(6). Factor -1/4*a**2 - 3/4*a**m - 1/4*a**5 + 0*a - 3/4*a**4 + 0.
-a**2*(a + 1)**3/4
Let m(b) be the third derivative of -b**7/2520 - b**6/90 - 2*b**5/15 + b**4/6 + 7*b**2. Let w(f) be the second derivative of m(f). Factor w(a).
-(a + 4)**2
Factor -370*a**3 - 2/7*a - 2738/7*a**4 + 146/7*a**2 + 0.
-2*a*(a + 1)*(37*a - 1)**2/7
Let h(m) be the first derivative of -7*m**4 - 260*m**3/3 - 232*m**2 - 112*m + 735. Factor h(z).
-4*(z + 2)*(z + 7)*(7*z + 2)
Suppose -32*i = 12 - 12. Let u(g) be the second derivative of 3/10*g**5 + 2/3*g**2 + 10/9*g**4 + 13/9*g**3 + i - 4*g. Solve u(b) = 0.
-1, -2/9
Let j(q) be the second derivative of q**4/4 + 14*q**3 + 294*q**2 - 94*q. Factor j(l).
3*(l + 14)**2
Let s be 3*((-50)/15 - -4). Suppose -2*b**2 - b + 0*b**s + 3*b**2 + 5 + 7*b = 0. What is b?
-5, -1
Let b(m) be the second derivative of -m**5/160 + m**4/32 + 7*m**2/2 + 11*m. Let h(j) be the first derivative of b(j). Suppose h(f) = 0. Calculate f.
0, 2
Let t(x) be the second derivative of 49*x**7/12 + 245*x**6 + 32739*x**5/8 + 66595*x**4/12 + 3115*x**3 + 882*x**2 - 98*x. Factor t(g).
(g + 21)**2*(7*g + 2)**3/2
Let l(k) be the second derivative of 0*k**2 + 1/90*k**6 - 2/45*k**5 + 7 + 1/27*k**3 + 1/36*k**4 - k. Factor l(f).
f*(f - 2)*(f - 1)*(3*f + 1)/9
Let h(x) be the first derivative of 3*x**5/25 - 3*x**4/20 - 3*x**3/5 + 3*x**2/10 + 6*x/5 - 27. Find k, given that h(k) = 0.
-1, 1, 2
Let s(o) be the second derivative of o**7/105 + o**6/75 - 4*o**5/25 - 2*o**4/5 - 153*o. Determine i, given that s(i) = 0.
-2, 0, 3
Suppose 35*g = 9*g + 21*g. Let w(q) be the second derivative of 0*q**2 + 0*q**3 + 1/60*q**5 + 1/36*q**4 - 5*q + g. Factor w(z).
z**2*(z + 1)/3
Let p(j) be the third derivative of 0*j + 0*j**3 + 1/735*j**7 - 4*j**2 - 1/28*j**4 + 0 + 1/140*j**6 - 1/210*j**5. Factor p(t).
2*t*(t - 1)*(t + 1)*(t + 3)/7
Let b(g) be the first derivative of 44*g + 26 - 24*g**2 + 4/3*g**3. Determine k, given that b(k) = 0.
1, 11
Let d(i) = 26*i**2 - 441*i + 415. Let s(b) = 7*b**2 - 110*b + 103. Let t(h) = -6*d(h) + 22*s(h). Solve t(k) = 0 for k.
1, 112
Let m(f) be the second derivative of f**4/12 + 125*f**3/3 + 15625*f**2/2 + 204*f. Find x such that m(x) = 0.
-125
Let s(c) = -48*c - 10. Let g be s(-7). Factor 7*p**3 - 3*p**3 - 32 - 40*p**2 - g*p + 394*p.
4*(p - 8)*(p - 1)**2
Let k(p) be the first derivative of p**7/1050 - p**6/300 + p**5/300 - 11*p**2/2 + 1. Let f(j) be the second derivative of k(j). Find o, given that f(o) = 0.
0, 1
Factor 0 - 2/23*m**2 + 62/