. Suppose -6*g + g + 7 = -4*w, -4*g - 5*w = -l. Factor 0*r**3 - 2*r**4 - 3*r**2 + 6*r**g - r**4.
-3*r**2*(r - 1)**2
Let g(o) = -o**4 + 9*o**3 - 3*o**2 - 13*o. Let k(s) = 2*s**4 - 10*s**3 + 2*s**2 + 14*s. Let z be 5*(-2)/1*(-6)/30. Let p(n) = z*g(n) + 3*k(n). Factor p(l).
4*l*(l - 2)**2*(l + 1)
Let k(v) be the second derivative of -v**9/4536 + v**8/1260 + v**3/2 - 7*v**2/2 + 29*v. Let j(m) be the second derivative of k(m). Factor j(g).
-2*g**4*(g - 2)/3
Let k(s) = s**2 - 1. Let m(d) = 2*d**2 - 270*d - 557. Let p(b) = 3*k(b) + m(b). Suppose p(f) = 0. What is f?
-2, 56
Let q(t) be the second derivative of -t**7/84 - 7*t**6/60 - t**5/4 + t**4/12 + 11*t**3/12 + 5*t**2/4 + 2*t - 23. Factor q(o).
-(o - 1)*(o + 1)**3*(o + 5)/2
Let f(j) = -19*j + 176. Let c be f(9). Suppose 1/2*q - 1/6*q**c - 1/3*q**3 + 1/3*q**2 - 1/2*q**4 + 1/6 = 0. Calculate q.
-1, 1
Let r(b) be the second derivative of -b**7/84 + b**6/15 - b**5/8 + b**4/12 - 76*b. Factor r(o).
-o**2*(o - 2)*(o - 1)**2/2
Let m(k) be the second derivative of 0 + 0*k**2 + 0*k**4 + 3/20*k**5 - 1/2*k**3 + 36*k. Factor m(t).
3*t*(t - 1)*(t + 1)
Let h(p) be the second derivative of p**7/4200 - p**6/1800 - p**5/600 + 5*p**4/12 + 25*p. Let z(k) be the third derivative of h(k). Factor z(u).
(u - 1)*(3*u + 1)/5
Let f(n) = n. Let l be f(1). Let w be (-272)/(-560) + l/(-5). Find d such that 0 - 2/7*d**2 - w*d**3 + 0*d = 0.
-1, 0
Let g be ((-4)/(-6))/(20/240). Suppose 4*b - 8 = -0*b. Let -b*v - g*v**2 + 1 + 7*v**2 + 2*v = 0. What is v?
-1, 1
Let o(a) = -6*a**2 + 12*a + 11. Let m(i) = -4*i**3 + i**2 - 3*i. Let x be m(2). Let k(f) = -f**2 + 2*f + 2. Let r(b) = x*k(b) + 6*o(b). Factor r(h).
-2*(h - 1)**2
Let f(o) be the second derivative of 7*o**4/3 - 38*o**3/3 - 12*o**2 + 2*o - 51. Suppose f(a) = 0. What is a?
-2/7, 3
Factor -1/11*d**3 + 0*d - 1/11*d**2 + 0.
-d**2*(d + 1)/11
Suppose 23*r + 0*r = 69. Let l = 8 - 6. Let 9*c**l + 5*c**3 + 3*c - r*c + c - 17*c**2 + 2 = 0. What is c?
-2/5, 1
Let k = -3872 - -19363/5. Suppose 1/5*r**4 + 0*r + k*r**3 + 0 + 2/5*r**2 = 0. Calculate r.
-2, -1, 0
Suppose -51 + 418*m**2 + 24*m + 11 - 62*m**3 + 0*m + 20*m**3 = 0. What is m?
-1/3, 2/7, 10
Let c(l) be the third derivative of -5*l**8/336 - l**7/21 + l**6/6 + 2*l**5/3 + 9*l**2. Suppose c(n) = 0. What is n?
-2, 0, 2
Suppose -r + 18 = 5*r. Suppose -2*q + 4*q - r*q = 0. Solve 0*g + q + 1/5*g**3 + 2/5*g**2 = 0 for g.
-2, 0
Let q = 4308 + -4308. Factor 0 + q*x**2 - 3/7*x**3 + 0*x - 3/7*x**4.
-3*x**3*(x + 1)/7
Let x(k) = 127*k**5 - 300*k**4 + 103*k**3 - 10*k**2 - 2. Let d(q) = 509*q**5 - 1200*q**4 + 411*q**3 - 40*q**2 - 9. Let w(b) = -2*d(b) + 9*x(b). Factor w(p).
5*p**2*(p - 2)*(5*p - 1)**2
Let b(o) = -o**3 - 13*o**2 + 13*o - 12. Let r be b(-14). Let -35*p**2 - 3*p**4 + 16*p**2 + 6*p**4 + 16*p**r = 0. Calculate p.
-1, 0, 1
Let q = -2072 - -4043/2. Let u = -50 - q. Determine m so that -1/4*m**3 + u + 1/4*m - 5/4*m**2 + 3/4*m**4 = 0.
-1, -2/3, 1
Let f(r) = -30*r**2 - 57*r - 72. Let s(k) = -3*k**2 + 2*k. Let q(t) = -f(t) + 9*s(t). Factor q(c).
3*(c + 1)*(c + 24)
Factor -20/9*z**2 + 0 - 4/3*z**4 - 2/9*z**5 - 8/3*z**3 - 2/3*z.
-2*z*(z + 1)**3*(z + 3)/9
Let s(w) = w**3 - 6*w**2 + 7*w - 5. Let y be s(5). Let l be 3 + -9 + y + 4/3. Factor -l*b**3 - b**2 - b - 1/3.
-(b + 1)**3/3
Let c(r) be the first derivative of 0*r**5 + 0*r + 3/4*r**2 + 1/4*r**6 - 3/4*r**4 + 0*r**3 - 14. Solve c(a) = 0.
-1, 0, 1
Let z(k) be the third derivative of k**7/420 + k**6/48 + 3*k**5/40 + 7*k**4/48 + k**3/6 - 13*k**2. Let z(y) = 0. Calculate y.
-2, -1
Let o(p) be the first derivative of -3*p**4/20 - 4*p**3/5 + 3*p**2/10 + 12*p/5 + 274. Factor o(u).
-3*(u - 1)*(u + 1)*(u + 4)/5
Let d(o) = -12*o + o**2 - 15 + 48 + 2*o - 15. Let l be d(8). Suppose 2/7*j**4 + 24/7*j + 8/7 + 12/7*j**3 + 26/7*j**l = 0. Calculate j.
-2, -1
Let b(u) be the second derivative of -u**4/60 + 5*u**3/3 - 125*u**2/2 + u + 25. Find q such that b(q) = 0.
25
Let q(k) = -3*k**2 + 1. Let p(n) = 2*n**3 - 35*n**2 - 202*n - 159. Let w(g) = p(g) + 3*q(g). What is r in w(r) = 0?
-3, -1, 26
Let u(k) be the first derivative of 2*k**3/3 + 8*k**2 + 24*k - 121. Factor u(h).
2*(h + 2)*(h + 6)
Let s(g) be the first derivative of 2*g**2 + 0*g - 2*g**3 + 1/2*g**4 + 9. Factor s(u).
2*u*(u - 2)*(u - 1)
Let u(b) = 2*b**4 + 1. Let r(h) = -15*h**4 - 6*h**3 - 9*h**2 - 9. Let t(v) = r(v) + 9*u(v). Solve t(j) = 0.
-1, 0, 3
Let d be (-12)/(-45)*335/(-6). Let x = 136/9 + d. Factor x*j**5 - 10/9*j**4 + 0 + 4/9*j + 2*j**3 - 14/9*j**2.
2*j*(j - 2)*(j - 1)**3/9
Let x(p) = 25*p**4 - 2*p**3 - 71*p**2 - 8*p + 16. Let s(q) = -350*q**4 + 30*q**3 + 995*q**2 + 115*q - 225. Let b(n) = -4*s(n) - 55*x(n). Solve b(l) = 0.
-1, 2/5, 2
Let j(o) be the second derivative of o**5/20 - 5*o**4/12 - 2*o**3/3 + 10*o**2 + 10*o - 47. Suppose j(v) = 0. What is v?
-2, 2, 5
Let j be (-781704)/(-98658) + (-2)/58 + 1*-7. Solve 8/9 - j*t + 2/9*t**2 = 0.
2
Let c = 94532/84747 - 1/13038. Let r = -8/13 + c. Suppose r*v**2 + 9/2 + 3*v = 0. What is v?
-3
Let i be 8 + -12 + (-205)/(-20). Factor i - 5/2*u + 1/4*u**2.
(u - 5)**2/4
Let p(f) be the first derivative of -f**4/30 + 2*f**3/15 + 8*f - 2. Let j(y) be the first derivative of p(y). Factor j(c).
-2*c*(c - 2)/5
Let h(r) = 16*r**2 - 4*r + 6. Let i(k) = k**2 - k + 1. Let t(y) = -2*h(y) + 36*i(y). Solve t(w) = 0.
1, 6
Factor 48/5 + 9*h - 3/5*h**2.
-3*(h - 16)*(h + 1)/5
Let h be ((-22)/880*5)/((-39)/18 - -2). Factor -h*r**2 + 0 + 3/2*r.
-3*r*(r - 2)/4
Let h = 28 - 26. Factor -2 + 4*d + 0*d**2 - 14 + 4*d**h + 8*d.
4*(d - 1)*(d + 4)
Let p(y) = -y - 8. Let z be p(-10). Let c be 1/(-2) - (-7)/z. Find m such that 3*m + 4*m**2 + 34*m**3 - 4*m**4 - m - 34*m**c - 2*m**5 = 0.
-1, 0, 1
Let i(x) be the first derivative of 4/5*x**4 - 18 - 16/5*x**3 - 12/5*x + 22/5*x**2. Find o, given that i(o) = 0.
1/2, 1, 3/2
Let j = 2/15 + 37/60. Suppose 6*l = 5*l - 1 + 3. Determine i so that -1/4*i**4 - 1/4*i**l + 3/4*i**3 - j*i + 1/2 = 0.
-1, 1, 2
Let b(h) be the second derivative of 0*h**2 - 11*h + 0*h**3 + 0 + 1/11*h**4 - 3/110*h**5. Let b(n) = 0. What is n?
0, 2
Let i(k) be the second derivative of 3*k**5/100 - 9*k**4/20 - 2*k**3/5 + 54*k**2/5 + 11*k + 9. Determine x, given that i(x) = 0.
-2, 2, 9
Find l, given that 8/5*l**3 + 0 - 2/5*l**5 - 6/5*l + 4/5*l**4 - 4/5*l**2 = 0.
-1, 0, 1, 3
Let z = -57764 - -57766. Suppose 8/7 - 2/7*v**3 - 2/7*v**4 - 22/7*v + 18/7*v**z = 0. What is v?
-4, 1
Let y = -54 - -55. Let i be 110/50 - (0 + y + 0). What is o in 2*o + 4/5 - i*o**2 = 0?
-1/3, 2
Let i be (-2*15/20)/(5/(-40)). Factor -i*y + 9/2*y**2 - 9/2.
3*(y - 3)*(3*y + 1)/2
Let o(l) = -1703*l + 8. Let s be o(-2). What is j in -4*j**3 - s*j + 3395*j + 11*j**2 + 3*j**3 + 9 = 0?
1, 9
Let h(m) = m**5 - 7*m**4 + 30*m**3 - 33*m**2 + 3*m + 3. Let p(q) = -2*q**4 + 30*q**3 - 34*q**2 + 2*q + 2. Let o(v) = 2*h(v) - 3*p(v). Factor o(j).
2*j**2*(j - 6)*(j - 1)*(j + 3)
Determine r so that -46*r**2 - 2*r**4 + 16*r**3 + 1 + 4*r**2 + 36*r - 1 = 0.
0, 2, 3
Let v(t) be the second derivative of t**7/1260 + t**6/270 + t**5/180 - 5*t**3 - 39*t. Let g(n) be the second derivative of v(n). Suppose g(u) = 0. Calculate u.
-1, 0
Let g(i) be the second derivative of 21*i + 2*i**2 - 3/40*i**5 + 0 - 1/60*i**6 + 1/12*i**4 + i**3. Determine c so that g(c) = 0.
-2, -1, 2
Let f(k) = -k**3 + 2*k**2 - 6*k + 5. Let l be f(0). Let d = 12 - 8. Factor -q**d - 7*q**l + q**4 + 3*q**5 + 4*q**3.
-4*q**3*(q - 1)*(q + 1)
Let n = -8/699 + 731/2796. Factor -1/4*i**3 - 3/4*i**2 + n*i + 1/4*i**4 + 1/2.
(i - 2)*(i - 1)*(i + 1)**2/4
Let f be (2836/(-960) + 3)*22. Let v = f - 5/24. Determine j so that 0 - 2*j**2 + v*j = 0.
0, 2/5
Suppose 0 = 8*n - 91 - 29. Suppose -2 + 12*i**3 + n*i**3 - 13*i - 12*i**2 + 0 = 0. Calculate i.
-1/3, -2/9, 1
Suppose l = -l + 10. Suppose -5 = -5*a + l. Factor s**3 + 0*s**3 + 3*s**a + 4*s**3.
s**2*(5*s + 3)
Let g be (-2)/10 + (-6432)/3015 + 4. Find x such that -g*x**4 + 5*x + 25/3*x**2 + 5/3*x**3 + 0 = 0.
-1, 0, 3
Let l(h) be the first derivative of -7/4*h**3 - 3/4*h**2 + 3/8*h**4 - 2 + 21/20*h**5 + 0*h. Find n such that l(n) = 0.
-1, -2/7, 0, 1
Let n be 13 + (-3 - -4)*-1. Let a be (20/(n/3))/1. Factor 2 + 3*j**3 + 4 + a*j - 14*j.
3*(j - 1)**2*(j + 2)
Let p(m) be the second derivative of -m**4/12 - 8*m**3 - 288*m**2 - 81*m - 1. Factor p(d).
-(d + 24)**2
Suppose 0 = -2*c + 