.
y*(y - 2)*(y - 1)**2*(y + 1)
Let o(c) = c**2 + 8*c - 18. Let r be o(-10). Factor 4*l**2 + 13*l**3 - 4 - 5*l**3 - 6*l - 2*l**5 + 0*l + 0*l**r.
-2*(l - 2)*(l - 1)*(l + 1)**3
Suppose -19 - 3 = -4*v - 2*q, 4*q = 4*v + 8. Let h = -566/7 + 5122/63. Factor 0 - h*u**2 + 0*u + 2/9*u**4 - 2/9*u**v.
2*u**2*(u - 2)*(u + 1)/9
Let h = 43843 - 3726591/85. Let l = h - 6/17. Factor 6/5*n - 6/5*n**2 - 2/5 + l*n**3.
2*(n - 1)**3/5
Let k(q) = -q**4 + q**2 + 1. Let m(v) = -6*v**5 - 20*v**4 - 44*v**3 - 42*v**2 - 14*v - 8. Let f(z) = -6*k(z) - m(z). Find b such that f(b) = 0.
-1, -1/3
Let x = -37 + 40. Factor 12*u + x*u**3 - 7*u - 6 + 10*u - 12*u**2.
3*(u - 2)*(u - 1)**2
Let k(f) be the second derivative of -f**3/6 - 3*f**2/2 - 25*f. Let u be k(-5). Factor 0*j + 0*j**u + 2/13*j**4 + 0 + 2/13*j**3.
2*j**3*(j + 1)/13
Let w(s) be the third derivative of s**8/84 + 4*s**7/35 + 11*s**6/30 + 2*s**5/15 - 2*s**4 - 16*s**3/3 + 207*s**2. Factor w(z).
4*(z - 1)*(z + 1)*(z + 2)**3
Let d(b) be the first derivative of -b**8/10080 + b**7/2520 + b**6/2160 - b**5/360 + 3*b**3 + 14. Let o(a) be the third derivative of d(a). Solve o(k) = 0.
-1, 0, 1, 2
Let k(f) be the second derivative of 125*f**7/42 + 55*f**6/3 - 18*f**5 + 37*f**4/6 - 5*f**3/6 - 4*f + 18. Solve k(u) = 0 for u.
-5, 0, 1/5
Let s(x) be the first derivative of x + 0*x**2 - 1/3*x**3 + 10. Find r, given that s(r) = 0.
-1, 1
Let p(g) be the first derivative of g**3/6 + 3*g**2/2 - 7*g/2 + 184. Factor p(k).
(k - 1)*(k + 7)/2
Suppose -360 + 285*t**2 - 360 - 444*t + 8*t**4 + 20*t**3 + 8*t**3 - 4*t**4 - 305*t**2 = 0. Calculate t.
-5, -3, 4
Let s be (-352)/(-66) + (-4)/6. Suppose 12*n = 13*n - 4. Suppose -8/3*i**3 + 8/3*i + s*i**2 - 8/3 - 2*i**n = 0. Calculate i.
-2, -1, 2/3, 1
Let h = -10/1931 + 5833/7724. Suppose -3/8*m + 3/8*m**3 - h + 3/4*m**2 = 0. What is m?
-2, -1, 1
Let s(n) be the third derivative of -n**5/20 + 43*n**4/4 - 1849*n**3/2 - 23*n**2. Find y such that s(y) = 0.
43
Let c(u) = -u**2 + 2*u - 1. Let i be c(4). Let y = -7 - i. Factor 5 - 3 + 15*a**2 - 6*a - y.
3*a*(5*a - 2)
Let g(d) = -13*d + 351. Let a be g(27). Let l = -1906/9 - -212. Let 4/9*c**2 + 2/9*c**3 - l*c**4 + a + 0*c = 0. Calculate c.
-1, 0, 2
Let k = 92/17 - 1789/340. Let r(x) be the second derivative of -5/2*x**3 + 0 + k*x**5 + 5*x - 1/10*x**6 + 3*x**2 + 3/4*x**4. Factor r(z).
-3*(z - 1)**3*(z + 2)
Let -1/5*j**5 + 1/5*j**4 + 0*j**2 + 0*j + 2/5*j**3 + 0 = 0. Calculate j.
-1, 0, 2
Let y(c) be the first derivative of c**6/14 + 31*c**5/35 + 83*c**4/28 + 5*c**3/21 - 25*c**2/7 + 111. Suppose y(k) = 0. Calculate k.
-5, -1, 0, 2/3
Let u(d) = d - 1. Let q(h) = -4*h + 17. Let s(y) = q(y) + 3*u(y). Let x be s(12). Factor -17*m**3 + 23*m**3 + x*m - 8*m**3.
-2*m*(m - 1)*(m + 1)
Let v(h) be the first derivative of h**5/450 + h**4/60 + 2*h**3/45 + 3*h**2 + 7. Let f(j) be the second derivative of v(j). Solve f(n) = 0.
-2, -1
Solve 2/5*g**3 - 8/5 - 46/15*g**2 + 2/15*g**5 - 64/15*g + 14/15*g**4 = 0.
-6, -1, 2
Factor -984/5*b**2 + 161376/5*b + 2/5*b**3 - 8821888/5.
2*(b - 164)**3/5
Suppose 3*y + 9 = 6. Let o = y + 3. Solve -2*n**5 - 15*n**4 + 2*n**o + 0*n**5 - 3*n**5 - 7*n**2 - 15*n**3 = 0 for n.
-1, 0
Suppose 0 = -0*b + 2*b - 4. What is t in -57*t - 2*t**b - 6 - 2 + 0 + 67*t = 0?
1, 4
Let p be (1048/(-1179))/((-5)/9). Let f(z) be the third derivative of -p*z**3 + 0 + 0*z - 1/100*z**5 + 1/5*z**4 - 9*z**2. Factor f(u).
-3*(u - 4)**2/5
Determine j, given that -1794*j**3 - 2892*j**3 - 4 - 132*j - 1101*j**3 - 35*j**2 + 463*j**3 - 1417*j**2 = 0.
-1/11
Let h = -49397 + 543754/11. Let x = -35 + h. Factor 32/11 + 16/11*j + x*j**2.
2*(j + 4)**2/11
What is c in -138*c**2 - 8 + 18*c + 2*c**3 + 267*c**2 - 141*c**2 = 0?
1, 4
Suppose 4*i + 7 = -r - 13, 15 = -4*r - 3*i. Suppose -l + 0*l + 35 = r. What is k in 0*k**3 - l*k**3 - k**5 - 27*k**5 + 8*k - 25*k**3 + 76*k**4 + 4*k**2 = 0?
-2/7, 0, 1
Solve 3077 + 180*v**2 - 1583 + 607 - 2160*v + 6539 - 5*v**3 = 0.
12
Let x(v) be the first derivative of 13 - 1/25*v**5 + 7/10*v**2 - 2/5*v - 3/5*v**3 + 1/4*v**4. Find r, given that x(r) = 0.
1, 2
Let z(d) be the first derivative of 10 - 3/7*d**4 + 6/7*d + 1/21*d**6 - 4/21*d**3 + 5/7*d**2 - 2/35*d**5. Factor z(w).
2*(w - 3)*(w - 1)*(w + 1)**3/7
Suppose -21 = -91*p + 84*p. Suppose g + g - p*g = 0. Factor -4/3*w**4 + 0*w + 1/3*w**5 + g + 0*w**2 + 4/3*w**3.
w**3*(w - 2)**2/3
Let -8/3*d - 1/6*d**2 - 32/3 = 0. What is d?
-8
Suppose -3*a + 70 = 3*j - 29, 5*j + 2*a - 174 = 0. Let m be -1 + 6/24 - (-35)/j. Factor 0 + 2/9*l**2 - 4/9*l + 4/9*l**3 - m*l**4.
-2*l*(l - 2)*(l - 1)*(l + 1)/9
Suppose 366 = -8*b + 382. Factor 10*l - 1/2*l**4 - 4 + 7/2*l**3 - 9*l**b.
-(l - 2)**3*(l - 1)/2
Let i(x) = 5 - x**3 + 2*x**3 + 3*x**2 + 0*x**2 - 2*x**2. Let a be i(0). Factor -4 - 11*m + 2*m**2 + 8*m + a*m.
2*(m - 1)*(m + 2)
Let n(i) = -2*i + 38. Let w be n(19). Let m(z) be the first derivative of -2 + w*z**2 - z**3 + 3/4*z**4 + 0*z. Factor m(x).
3*x**2*(x - 1)
Suppose 0 = 4*q + 3*v - 33, 5*q - 27*v = -22*v - 20. Factor 33/2*a**2 + 3/4*a**4 + 27/4 + 6*a**q + 18*a.
3*(a + 1)**2*(a + 3)**2/4
Let q be (-2)/(-14) - (-41 - 5690/(-140)). Solve h**2 + 0 + 1/2*h + q*h**3 = 0.
-1, 0
Let d(h) be the first derivative of -h**6/30 - h**5/10 + h**4/12 + h**3/3 + 5*h - 10. Let o(z) be the first derivative of d(z). Factor o(u).
-u*(u - 1)*(u + 1)*(u + 2)
Let f(q) be the third derivative of q**8/11760 - q**7/4410 - q**6/630 - 9*q**4/8 - 3*q**2 + 3*q. Let w(j) be the second derivative of f(j). Factor w(y).
4*y*(y - 2)*(y + 1)/7
Let y(w) be the third derivative of 2*w**7/105 + 23*w**6/30 + 22*w**5/15 + 5*w**2 - 19. Factor y(t).
4*t**2*(t + 1)*(t + 22)
Let r(f) be the second derivative of f**4/84 - 10*f**3/21 - 3*f**2/2 - 75*f. Determine j, given that r(j) = 0.
-1, 21
Let k(s) be the first derivative of -24/5*s**5 - 15*s**4 + 0*s - 33/2*s**3 + 8 - 27/4*s**2. Suppose k(t) = 0. Calculate t.
-1, -3/4, 0
Let v be 12*16/240 + (-16)/(-5). Solve -3/7*y**3 + 2/7*y**2 + 3/7*y**5 + 0*y - 2/7*y**v + 0 = 0.
-1, 0, 2/3, 1
Let a be -2 + 7/(-11) - (61 - 64). Solve -2/11 + 4/11*l**3 - 2/11*l**4 - 2/11*l - 2/11*l**5 + a*l**2 = 0 for l.
-1, 1
Suppose -3*a + 10 = 2*a. Solve -24*k**2 + 12*k**2 + 15*k**a - 18*k + 15 = 0 for k.
1, 5
Suppose 9 = 2*i + i. Find k such that 3*k**2 + 3*k**3 + 13*k**2 + k**i + 20*k + 8 = 0.
-2, -1
Let u = -17168 + 85842/5. Suppose u*z**3 - 8/5*z**2 - 4/5 + 2*z = 0. What is z?
1, 2
Let b(k) be the third derivative of k**6/300 - k**5/12 + 2*k**4/15 + 5*k**3/3 - 9*k**2. Let d(w) be the first derivative of b(w). Factor d(f).
2*(f - 8)*(3*f - 1)/5
Let r(q) = 7*q**2 + q - 1. Let h be r(1). Suppose -h*n = -2*n - t - 11, -n = -3*t - 5. Determine w so that 7*w**4 + 34*w**n - 8 - 11*w**4 - 56 - 2*w**2 = 0.
-2, 2
Suppose -2*w = w - 6. Factor -344*d**w + 2*d**5 + 146*d**3 + 352*d - 10*d**4 - 21*d**4 - 144 + 3*d**4 + 16.
2*(d - 4)**3*(d - 1)**2
Let w(n) be the third derivative of -n**6/80 + n**5/8 - 3*n**4/16 - 9*n**3/4 + 407*n**2. Solve w(r) = 0.
-1, 3
Let p be 14/21*(-1 + 4). Solve 4*b**p + 14*b + 13*b**2 + 4 - 10*b**2 + 3*b**2 = 0.
-1, -2/5
Let d(q) be the first derivative of -q**4/3 + 2*q**3/3 - 9*q + 7. Let a(t) be the first derivative of d(t). What is w in a(w) = 0?
0, 1
Let w(j) be the second derivative of j**6/165 + 4*j**5/55 - 3*j**4/22 + 155*j. Factor w(k).
2*k**2*(k - 1)*(k + 9)/11
Suppose -3*w = 2*s + 64, 6*w - 3*w = 3*s - 69. Let x be w/(-110) - 43/(-10). Suppose -3/2*f**2 + 0*f - 3/2*f**5 + 0 - 9/2*f**4 - x*f**3 = 0. What is f?
-1, 0
Let m(f) be the third derivative of f**8/80640 - f**7/20160 - f**6/1440 + f**5/10 + 11*f**2. Let o(r) be the third derivative of m(r). Factor o(n).
(n - 2)*(n + 1)/4
Factor -3900*c**4 - c - 4021*c**4 - 16198*c**3 + 0*c - 7*c - 716*c**2.
-c*(c + 2)*(89*c + 2)**2
Let j(f) = 11*f**2 + 704*f + 464. Let o(h) = 34*h**2 + 2110*h + 1390. Let z(g) = -7*j(g) + 2*o(g). Factor z(l).
-3*(l + 78)*(3*l + 2)
Let k(q) be the first derivative of q**4/12 - 9*q**3 + 53*q**2/2 - 79*q/3 - 271. What is v in k(v) = 0?
1, 79
Let n(y) = 8*y**4 - 64*y**3 + 652*y**2 - 578*y. Let i(r) = r**4 + r**3 + r**2. Let k(v) = 6*i(v) - n(v). Factor k(j).
-2*j*(j - 17)**2*(j - 1)
Let m = 18816 + -18813. What is z in m*z + 9 + 1/4*z**2 = 0?
-6
Let b(g) be the first derivative of -g**7/6300 - g**6/1350 + g**5/300 + 28*g**3/3 - 40. Let z(u) be th