Factor n(k).
2*(k - 3)**2
Let r(s) be the second derivative of -s**5/150 + 13*s**4/15 - 169*s**3/5 - 144*s - 3. Let r(x) = 0. What is x?
0, 39
Suppose -215 = 5*l + 365. Let o = l + 816/7. Factor -2/7 - o*h - 2/7*h**2.
-2*(h + 1)**2/7
Let j(c) = 23*c**2 - 41*c + 8. Let r(m) = -11*m**2 + 21*m - 4. Suppose -35 = -4*p - 55. Let f(h) = p*r(h) - 3*j(h). Suppose f(x) = 0. Calculate x.
2/7, 1
Let w(q) be the first derivative of 4/7*q**2 + 0*q - 13 + 1/14*q**4 + 8/21*q**3. Solve w(t) = 0.
-2, 0
Factor 3*l**2 - 8*l**3 + 5*l**4 - 3*l - 4*l**3 + 6*l**2 + l + 0*l**3.
l*(l - 1)**2*(5*l - 2)
Let s be ((-8436)/(-72))/37 - 3. Factor 1/3*z**3 - 1/6*z**4 - s*z**2 + 0*z + 0.
-z**2*(z - 1)**2/6
Find r, given that 1/2*r**3 + 167/4*r**2 + 861*r - 441 = 0.
-42, 1/2
Factor 2/19*w**2 + 120/19*w + 1800/19.
2*(w + 30)**2/19
Let k(u) be the first derivative of u**8/168 - 4*u**7/105 + u**6/15 - 13*u**2/2 + 23. Let f(z) be the second derivative of k(z). Let f(v) = 0. Calculate v.
0, 2
Let k(s) be the third derivative of -s**8/840 + 5*s**3/2 + 6*s**2. Let r(x) be the first derivative of k(x). Suppose r(b) = 0. What is b?
0
Factor -3*h**2 - h**2 - 6*h + 2*h**2 + 7*h**2 + 4*h**2 - 3*h**3.
-3*h*(h - 2)*(h - 1)
Let z(o) = -7*o**2 - 8*o + 4. Let r = -30 + 31. Let m(y) = -y**2. Let b(p) = r*z(p) + 5*m(p). Suppose b(t) = 0. What is t?
-1, 1/3
Let d = -8 - -12. Let z(r) be the first derivative of -2*r**2 - 54*r**2 + 8*r**2 + 6 - r**d + 12*r**3 + 64*r. Solve z(w) = 0.
1, 4
Let t(m) = -5*m**2 - 31*m + 29. Let c(x) be the third derivative of -x**5/30 - 5*x**4/12 + 5*x**3/3 + 17*x**2. Let y(f) = 7*c(f) - 2*t(f). Solve y(g) = 0 for g.
-3, 1
Let n be 9/(-24) + 22/(-40) + 1. Let o(y) be the second derivative of 1/8*y**3 + 5/32*y**4 + 1/80*y**6 - y + 0*y**2 + 0 + n*y**5. Solve o(h) = 0.
-2, -1, 0
Solve -874*f**5 + 51*f**3 - 48*f - 872*f**5 + 1743*f**5 = 0 for f.
-4, -1, 0, 1, 4
Let y(x) = -2*x - 9. Let i be y(-6). Suppose -8*b - 64 + 4*b**4 + 21*b**2 + 39*b**2 + 40*b - 32*b**i = 0. What is b?
-1, 1, 4
Let o(z) be the third derivative of -z**5/150 - 7*z**4/60 - 2*z**3/3 - z**2 + 98. Suppose o(t) = 0. What is t?
-5, -2
Let f(j) = -5*j**4 + 24*j**3 - 19*j**2 + 4*j + 8. Let q(n) = -5*n**4 + 25*n**3 - 20*n**2 + 5*n + 10. Let k(x) = 5*f(x) - 4*q(x). Factor k(p).
-5*p**2*(p - 3)*(p - 1)
Determine n, given that 24*n - n**2 - 4*n**2 + 0*n**2 - 9*n = 0.
0, 3
Let z(f) = 3*f**3 + 6*f**2 + 2*f + 2. Let l(i) = -4*i**3 - 7*i**2 - 3*i - 3. Suppose -18 = 3*j - 0. Let v(h) = j*z(h) - 4*l(h). Let v(d) = 0. What is d?
-4, 0
Let r(y) = y**3 + y + 1. Let c(q) = 2*q**3 - 24*q**2 + 46*q - 34. Let f(d) = d**2 - 2*d + 2. Let k be f(2). Let x(m) = k*r(m) + c(m). Factor x(l).
4*(l - 2)**3
Let v be (4/(-48))/(18/(-54)). Factor 3/8 - v*i - 1/8*i**2.
-(i - 1)*(i + 3)/8
Let b(s) be the first derivative of 5*s**4/22 - 1516*s**3/33 + 28576*s**2/11 + 23104*s/11 + 281. Factor b(m).
2*(m - 76)**2*(5*m + 2)/11
Let y(d) be the third derivative of -13*d**2 + 2/105*d**6 + 0*d**3 + 1/35*d**5 + 0*d + 0 + 0*d**4 + 2/735*d**7. Find u, given that y(u) = 0.
-3, -1, 0
Suppose 2*x - 214 = -5*f, 2 = -3*x + 8. Let j be 68/f + 24/36 + -2. Factor 2/7*z**2 - j - 10/7*z + 10/7*z**3.
2*(z - 1)*(z + 1)*(5*z + 1)/7
Let a(s) = s**2 + 13*s + 2. Let h be a(-13). Let q(n) = -2*n + 6. Let k be q(h). Factor -2*m**k - 2 + 3 + 4*m + 0*m**2 - 3.
-2*(m - 1)**2
Let j = 204 + -199. Let b(i) be the second derivative of -1/55*i**j - 1/11*i**2 + 1/165*i**6 + 0*i**4 - 5*i + 0 + 2/33*i**3. Factor b(h).
2*(h - 1)**3*(h + 1)/11
Find k, given that -60*k**3 + 65*k**4 - 20/3*k**2 + 0*k + 0 - 50/3*k**5 = 0.
-1/10, 0, 2
Let j = 120 + -1078/9. Let k = -60820/9 - -6758. Factor 0 - 4/9*d**4 + 0*d - j*d**5 + 0*d**2 - k*d**3.
-2*d**3*(d + 1)**2/9
Suppose -21*a = -17*a - 12. Let y(m) be the first derivative of -3*m - a - 1/3*m**3 - 2*m**2. Determine i so that y(i) = 0.
-3, -1
Factor -1/12*l**2 - 1/4*l - 1/6.
-(l + 1)*(l + 2)/12
Let f(y) = 2*y**5 + y**4 - y**2. Let t(s) = 3*s**5 - 4*s**4 + 19*s**3 + 18*s**2 - 36*s - 32. Let v(g) = 2*f(g) - t(g). Factor v(x).
(x - 2)**2*(x + 1)**2*(x + 8)
Let i(h) be the third derivative of -h**7/105 + 2*h**5/5 + 4*h**4/3 + 2*h**2 - 19. Determine x, given that i(x) = 0.
-2, 0, 4
Let z be (-45)/630 + 1/14. Let d(f) be the third derivative of 0*f + 3/4*f**5 - 5/12*f**4 - 11*f**2 + 0*f**3 + z. Solve d(c) = 0.
0, 2/9
Let d(s) be the third derivative of -s**6/120 - 11*s**5/60 + 25*s**4/24 - 13*s**3/6 - 161*s**2. Find f such that d(f) = 0.
-13, 1
Let m(s) be the second derivative of 3*s**5/5 + 5*s**4/3 + 2*s**3/3 - 2*s**2 + 3*s + 9. Factor m(d).
4*(d + 1)**2*(3*d - 1)
Let y = 30 + -27. Factor 12 - 3*g**y - 113*g**2 + 101*g**2 + 3*g + 0*g**3.
-3*(g - 1)*(g + 1)*(g + 4)
Let i = 0 + -4. Let v be 2 - (1 + 20/i). Factor -4*h**5 + 2 - 6*h**4 + 6*h**5 + 4*h**3 + h**2 + 3*h**2 - v*h.
2*(h - 1)**4*(h + 1)
Let z(r) be the third derivative of -2/15*r**6 + 0*r**3 - 1/168*r**8 - 1/21*r**7 + 0*r + 0*r**4 + 0 + 52*r**2 - 2/15*r**5. Factor z(g).
-2*g**2*(g + 1)*(g + 2)**2
Let a = 97 + -91. Let q(r) be the first derivative of r**3 - a*r - 3/2*r**2 - 2. Determine m so that q(m) = 0.
-1, 2
Let t(q) = -2*q**2 - q. Let w(l) = 3*l**2 + 50*l + 48. Let g(n) = 4*t(n) + 4*w(n). Factor g(f).
4*(f + 1)*(f + 48)
Let l(t) be the second derivative of 0*t**4 - 1/6*t**6 + 0*t**2 + 0 + 0*t**3 - 1/2*t**5 + 8*t. Factor l(c).
-5*c**3*(c + 2)
Let z = -32 - -35. Let u(f) = -f**3 + 15*f - 8. Let b(k) = 12*k**3 - 164*k + 88. Let n(p) = z*b(p) + 32*u(p). Determine r, given that n(r) = 0.
-2, 1
Let o = 30 + -24. Suppose 1 = -o*k + k + c, 0 = -5*k + 3*c - 3. Factor k + 2/5*h + 0*h**2 - 2/5*h**3.
-2*h*(h - 1)*(h + 1)/5
Let t(c) = -35*c**2 + 8*c - 1. Let f be t(-4). Let l = f - -5347/9. Factor l*q**3 + 4/9*q**2 + 0*q + 0.
2*q**2*(5*q + 2)/9
Let v(c) = c**2 + 6*c - 6. Let b be v(-7). Let u(n) = 6*n**2 + 2*n - 1. Let f be u(b). Factor -8*g**2 + 2*g - 2*g**3 - f*g - 5*g - 4.
-2*(g + 1)**2*(g + 2)
Let a = 244 + -246. Let p(j) be the first derivative of j**3 + j**2/2 + 1. Let f(x) = 7*x**2 + 3*x + 1. Let k(q) = a*f(q) + 5*p(q). Factor k(i).
(i - 2)*(i + 1)
Find d such that 36*d + 27/2*d**4 + 15*d**3 - 6*d**5 - 105/2*d**2 - 6 = 0.
-2, 1/4, 1, 2
Let a be (18/(-15))/(2/(-5)). Let u be a + -1 - (2 - 3). Factor 7 - 2*l + 0*l - 3 + 4*l**3 - 2*l**u - 4*l**2.
2*(l - 2)*(l - 1)*(l + 1)
Solve -1/4 + 21/4*p - 69/2*p**2 - 261/4*p**4 + 81/4*p**5 + 149/2*p**3 = 0.
1/9, 1
Let w = -954 + 956. Solve -14/13*z**3 + 16/13 + 2/13*z**4 - 40/13*z + 36/13*z**w = 0.
1, 2
Let t(p) be the third derivative of -1/15*p**5 - 16*p**2 + 0*p + 0*p**3 - 1/60*p**6 + 0 - 1/630*p**7 - 1/9*p**4. Factor t(l).
-l*(l + 2)**3/3
Let m(o) = -48*o**2 + 20*o + 20. Suppose 16 + 4 = y. Let q(t) = -7*t**2 + 3*t + 3. Let z(s) = y*q(s) - 3*m(s). Find b such that z(b) = 0.
0
Suppose 0 = g + 3*g - 4*a - 8, 0 = 3*a - 6. Let l be (2*2/g*0)/3. Factor l*k + 0 + 2/15*k**2 + 2/15*k**3.
2*k**2*(k + 1)/15
Let d(l) be the first derivative of -1/2*l**4 - 7 - 2*l**3 - 3*l**2 - 2*l. Determine w so that d(w) = 0.
-1
Suppose 9*j - 6 = 4*j + 2*j. Factor -48/5*i - 50*i**5 + 0 + 376/5*i**j - 204*i**3 + 210*i**4.
-2*i*(i - 3)*(5*i - 2)**3/5
Let i(o) be the third derivative of o**7/2205 - o**6/126 - 17*o**5/630 + 11*o**4/42 - 7*o**2 + 9. Determine c, given that i(c) = 0.
-3, 0, 2, 11
Let b(t) = -3*t**2 - 5*t + 17. Let v(s) = 3*s**2 + 5*s - 17. Let r(l) = 3*b(l) + 2*v(l). Let c(j) = -j + 1. Let f(i) = 5*c(i) - r(i). Factor f(n).
3*(n - 2)*(n + 2)
Let f be 12/9*(-6)/(-4). Suppose f*w = 3 + 1. Factor 0*j + 6*j**w + 3*j**5 - 6*j**4 - 4*j + j + 0*j.
3*j*(j - 1)**3*(j + 1)
Let s(w) be the first derivative of 1/3*w**4 - 7 + 2*w**2 + 3*w + 4/3*w**3. Let x(y) be the first derivative of s(y). Factor x(b).
4*(b + 1)**2
Let n(u) be the second derivative of 5/72*u**4 - 8*u + 0 + 5/3*u**2 - 5/9*u**3. Factor n(k).
5*(k - 2)**2/6
Let m(c) be the third derivative of 4*c**7/105 - c**6/40 + 30*c**2 + 1. Factor m(v).
v**3*(8*v - 3)
Let n = 4 - 2. Suppose 0 = -s - 3 + 6. Factor 4*c**4 + 53*c**3 - 3*c - 50*c**s + 1 - 3*c**n - 2*c**2.
(c - 1)*(c + 1)**2*(4*c - 1)
Let m = 56 + -95/2. Let r = m - 67/8. Find d such that 1/4*d - r*d**2 + 0 = 0.
0, 2
Let a(c) = 2*c**3 + 2*c**2 + 1. Let n(h) = 16336*h**3 - 46128*h**2 + 43200*h - 13524. Let u(l) = 24*a(l) + n(l). Factor u(x).
4*(16*x - 15)**3
Let 