 - 48*q**3 + 56*q**2 + 31*q - 1. Solve d(k) = 0 for k.
1/2, 2, 14
Let f be 23/(-115) - (-42)/10. Factor 6*m**2 - 1/5*m + 3/5*m**5 - 1 + 7/5*m**f - 34/5*m**3.
(m - 1)**3*(m + 5)*(3*m + 1)/5
Suppose -2*b = 3*w - 0*b - 4, -6 = 2*w - 3*b. Factor 20*z**3 - 15*z + 7*z - 12*z**2 + w*z**3.
4*z*(z - 1)*(5*z + 2)
Factor 8/5*b**3 - 4/5*b**5 + 8/5*b**2 - 4/5 - 4/5*b - 4/5*b**4.
-4*(b - 1)**2*(b + 1)**3/5
Suppose -3*j = -m + 6, -1358*j + 1357*j = -3*m + 10. Factor -1/3*p**4 - 2/3 - 1/3*p**m + p**2 + 1/3*p.
-(p - 1)**2*(p + 1)*(p + 2)/3
Let o(f) be the first derivative of -1 + 3/7*f + 1/7*f**3 - 3/7*f**2. Factor o(b).
3*(b - 1)**2/7
Let g(v) be the third derivative of -2*v**7/105 - 4*v**6/15 - 22*v**5/15 - 4*v**4 - 6*v**3 - 206*v**2 - 2*v. Suppose g(j) = 0. What is j?
-3, -1
Let c(i) = -2*i - 17. Let q be c(-10). Factor -5*r - 18 + 20*r**2 - 10*r**2 - r + r**q - 3*r**3.
-2*(r - 3)**2*(r + 1)
Let n = -228/7 - -919/28. Factor -1/4*k**3 + n*k - 1/4*k**2 + 1/4.
-(k - 1)*(k + 1)**2/4
Factor -416*k**2 - 1278*k + 170*k**2 - 5*k**5 - 440*k**3 - 85*k**4 - 754*k**2 - 400 + 238*k.
-5*(k + 1)*(k + 2)**3*(k + 10)
Let c(k) be the first derivative of -k**4/26 + 5*k**3/39 - 2*k**2/13 - 23*k - 10. Let x(s) be the first derivative of c(s). What is m in x(m) = 0?
2/3, 1
Suppose -6*t = -28*t + 106*t. Let -8/3*z**2 - 4/3*z - 4/3*z**3 + t = 0. What is z?
-1, 0
Let p = -4 - -7. Let i be (p/5)/((-6)/(-30)). Factor 2/3*c**i - 2/9*c**2 - 4/9*c + 0.
2*c*(c - 1)*(3*c + 2)/9
Let v(x) be the first derivative of x**7/21 + 3*x**6/20 + x**5/20 - x**4/3 - x**3/2 - x**2/4 + 6*x - 10. Let u(g) be the first derivative of v(g). Factor u(l).
(l - 1)*(l + 1)**3*(4*l + 1)/2
Let u = -237/2 - -1897/16. Let o(x) be the second derivative of u*x**4 + 0 + 5*x - 1/2*x**3 + 9/8*x**2. Factor o(f).
3*(f - 3)*(f - 1)/4
Let d(t) = 10*t**5 + 3*t**4 - 10*t**3 - 17*t**2. Let q(r) = -2*r**4 + 7*r**3 - 5*r**5 - 3*r**3 + r**3 + 8*r**2. Let o(g) = 3*d(g) + 7*q(g). Factor o(z).
-5*z**2*(z - 1)*(z + 1)**2
Let b = 6151 - 18173/3. Factor -100/3*f**3 - 176/3*f - 32/3 - b*f**2.
-4*(f + 2)*(5*f + 2)**2/3
Suppose 5*w - 40 = -5*q, 0 = -3*w + 5*q - 2*q + 12. Let m(h) be the first derivative of 8/5*h**5 - 4/3*h**3 - 3/2*h**4 + 0*h + h**2 - 2 + 4/3*h**w. Factor m(k).
2*k*(k + 1)**2*(2*k - 1)**2
Let d(c) be the second derivative of c**6/6 + c**5/2 - 10*c**4/3 - 10*c - 2. Find s such that d(s) = 0.
-4, 0, 2
Let x(w) be the second derivative of w**7/42 - 3*w**5/20 - w**4/6 - 5*w - 4. Find z, given that x(z) = 0.
-1, 0, 2
Let j(l) = 24*l**3 - l**2 + 2*l - 2. Let v be j(2). Let n = -187 + v. What is h in 2/3*h**n + 4/3*h**2 - 4/3 - 2/3*h = 0?
-2, -1, 1
Let v be 9 + ((-3496)/(-24))/(-19). Factor -7/3*q + 2/3*q**2 + 1/3*q**3 + v.
(q - 1)**2*(q + 4)/3
Let u be -2 + 9*60/108. Determine d so that -7/6*d**4 + 7/6*d**2 + 0 + 1/3*d - 1/3*d**u = 0.
-1, -2/7, 0, 1
Suppose p - 12 = -4*n, 4*p - 2 = -3*n + 5*p. Let c = -5123 - -30739/6. Factor -c*g**n - 1/2 + 2/3*g.
-(g - 3)*(g - 1)/6
Let p(m) be the first derivative of 7*m**4/22 - 4*m**3/33 + 180. Factor p(j).
2*j**2*(7*j - 2)/11
Let q(w) be the first derivative of -6*w**5/35 + 4*w**4 + 38*w**3/21 - 177. Factor q(c).
-2*c**2*(c - 19)*(3*c + 1)/7
Let y = 38/123 - -1/41. Let r(s) be the second derivative of -1/18*s**4 + 2/9*s**3 - y*s**2 + 0 - 3*s. Determine n so that r(n) = 0.
1
Factor -c**4 - c**4 + 1053*c**2 - 12*c**3 + 2*c**5 - 1053*c**2.
2*c**3*(c - 3)*(c + 2)
Let q(n) be the second derivative of n**6/70 + 3*n**5/70 - 8*n**4/7 + 15*n**3/7 + 27*n**2/2 - 4*n + 1. Determine h, given that q(h) = 0.
-7, -1, 3
Solve -27 + 9/4*x**3 - 80*x - 231/4*x**2 = 0.
-2/3, 27
Let b(v) be the first derivative of v**6/2 - 69*v**5/5 - 18*v**4 - 812. Factor b(f).
3*f**3*(f - 24)*(f + 1)
Let a(h) be the third derivative of -1/8*h**4 - 3/20*h**5 + 0 + 0*h - 1/70*h**7 - 3/40*h**6 + 0*h**3 - 8*h**2. Find q such that a(q) = 0.
-1, 0
Let i = -10564/7 - -1512. Factor i*d**3 + 108/7*d - 2/7*d**4 - 54/7 - 72/7*d**2.
-2*(d - 3)**3*(d - 1)/7
Factor -38*g**2 - 292*g**2 - 105 - 547*g**3 - 555*g**3 + 1222*g**3 + 320*g - 5*g**4.
-5*(g - 21)*(g - 1)**3
Determine u so that 0 - 2*u**3 + 48/5*u**2 + 0*u - 2/5*u**4 = 0.
-8, 0, 3
Let u(l) be the second derivative of 0*l**2 - 1/10*l**5 - 9*l + 0*l**3 + 0 + 1/6*l**4. Let u(o) = 0. Calculate o.
0, 1
What is v in 20/9 + 14/9*v + 2/9*v**2 = 0?
-5, -2
Let d(y) be the second derivative of y**8/1680 - y**6/60 - y**5/15 - 41*y**4/12 + 18*y. Let m(v) be the third derivative of d(v). Solve m(h) = 0 for h.
-1, 2
Suppose 0 = x + 7 - 9. Suppose -a + 4 = 3*a - x*f, -4*f + 28 = 4*a. Factor 3*u**5 + 5*u**2 - 11*u**2 + 2*u**4 - 2*u**4 - 9*u**a.
3*u**2*(u - 2)*(u + 1)**2
Let f(v) be the third derivative of v**5/10 + 3*v**4/8 + v**3/2 - 32*v**2. Let b(g) = -5*g**2 - 8*g - 2. Let m(x) = -3*b(x) - 2*f(x). Factor m(j).
3*j*(j + 2)
Factor 0 + 0*r + 1/5*r**3 + 4/5*r**2.
r**2*(r + 4)/5
Let j = 14 + -12. Suppose 22*b**2 - 10*b**2 - 15*b**j = 0. What is b?
0
Let d be (100/(-3600))/(4/(-54)). Let -363/8 - d*j**2 + 33/4*j = 0. What is j?
11
Solve -8*n + 0 - 14/3*n**3 + 4/3*n**4 - 40/3*n**2 + 2/3*n**5 = 0 for n.
-2, -1, 0, 3
Let y(n) be the first derivative of 5*n**4/66 - 7*n**3/33 + 2*n**2/11 - 5*n - 4. Let f(r) be the first derivative of y(r). Factor f(i).
2*(i - 1)*(5*i - 2)/11
Factor -2*a + 19 - a + 2*a**2 - 21*a - 19.
2*a*(a - 12)
Let r(i) be the third derivative of i**6/90 + 4*i**5/15 + 5*i**4/2 + 100*i**3/9 + i**2 + 57. Determine a, given that r(a) = 0.
-5, -2
Let q(x) be the second derivative of -1/15*x**3 - 13*x + 3/50*x**5 + 0*x**2 + 0 + 1/15*x**6 + 2/105*x**7 - 1/30*x**4. Factor q(c).
2*c*(c + 1)**3*(2*c - 1)/5
Suppose -900 + 90*i + 4*i**4 + 13*i + 896*i**2 - 120*i**3 - 41*i + 58*i = 0. Calculate i.
-1, 1, 15
Let k(j) be the second derivative of -j**4/6 + 16*j**3/3 - 55*j**2 - 2*j + 73. Factor k(h).
-2*(h - 11)*(h - 5)
Let g(o) be the third derivative of o**8/4480 + o**7/420 - 13*o**4/12 + 4*o**2. Let y(q) be the second derivative of g(q). Solve y(f) = 0 for f.
-4, 0
Let i(m) = -m**2 - 17*m - 51. Let r be i(-13). Let z(b) = b**3 - b**2. Let d(k) = -2*k**3 - 30*k**2 + 96*k - 64. Let l(q) = r*d(q) + 6*z(q). Factor l(p).
4*(p - 4)**2*(p - 1)
Let m = 47803/9 - 5311. Factor m*n**2 - 4/9*n**5 - 4/3*n**3 + 0 + 4/3*n**4 + 0*n.
-4*n**2*(n - 1)**3/9
Let r(j) = -12*j**4 + 10*j**3 + 24*j**2 - 28*j - 6. Let g(b) = 13*b**4 - 9*b**3 - 23*b**2 + 24*b + 5. Let y(d) = 6*g(d) + 5*r(d). Factor y(w).
2*w*(w - 1)*(w + 1)*(9*w - 2)
Let l be (-1 - -10)/((-1533)/168 + 56/4). Factor 2/13*d**2 - 22/13*d - l.
2*(d - 12)*(d + 1)/13
Let u = 7869 - 70907/9. Let w = 98/9 + u. Factor 4/3*z**4 + 0 + 2/3*z**5 - 2/3*z - w*z**2 + 0*z**3.
2*z*(z - 1)*(z + 1)**3/3
Let k be (-10)/(-2)*(-6)/((-42)/(-7)). Let c be 3 - (-117)/(-24) - (k - -3). Factor -1/4*f + 1/8*f**2 + c.
(f - 1)**2/8
Let l = -103/5 - -21. Let m = -12514/5 - -2503. Find z such that -l*z**2 - 1/5*z**3 - m*z + 0 = 0.
-1, 0
Let h = 28 - 23. Solve 2*v**2 + 0*v**2 + v**3 + 5 - h + v = 0 for v.
-1, 0
Let -11*t**3 - 33*t**2 - 7*t**3 + t**3 + 24*t + 60 + 20*t**3 = 0. What is t?
-1, 2, 10
Let c(v) be the second derivative of -3*v**5/20 + 5*v**4/2 - 14*v**3 + 36*v**2 + 2*v + 5. Find h such that c(h) = 0.
2, 6
Let n(k) be the first derivative of k**7/1260 + 8*k**6/135 + 64*k**5/45 + 19*k**3/3 + 26. Let b(x) be the third derivative of n(x). Factor b(j).
2*j*(j + 16)**2/3
Factor -4*b**2 + 4*b**5 + 889*b**4 - 885*b**4 - 2*b - 2*b**5.
2*b*(b - 1)*(b + 1)**3
Let t(w) be the second derivative of w**6/20 - 9*w**5/20 - w**4 + 3*w**3/2 + 21*w**2/4 + w - 19. Determine v, given that t(v) = 0.
-1, 1, 7
Let c(o) = -o - 14. Let p be c(-18). Determine h so that 16 - 6*h + p*h**2 + 14*h - 48 = 0.
-4, 2
Let h = -35 + 38. Find o, given that 30*o + 10*o + 45*o**3 - 5 - 40*o**h - 15 - 25*o**2 = 0.
1, 2
Let m(k) be the first derivative of -98*k**6/3 - 308*k**5/5 - 32*k**4 - 16*k**3/3 - 30. Factor m(h).
-4*h**2*(h + 1)*(7*h + 2)**2
Let 440*n**4 + 75*n**5 - 239/3*n**3 - 350/3*n**2 + 28/3*n + 8 = 0. Calculate n.
-6, -1/3, 2/5
Let w(l) be the first derivative of -5*l**6/12 - 19*l**5/10 + 9*l**4/8 + 19*l**3/6 - l**2 + 108. Let w(b) = 0. Calculate b.
-4, -1, 0, 1/5, 1
Let x be 1/7 + (-650)/(-840) - 1/4. Factor -2/3 + x*s**3 + 2/3*s**2 - 2/3*s.
2*(s - 1)*(s + 1)**2/3
Let c(i) = -i**3 - 16*i**2 - 15*i - 6. Let q