 of -6*x - 1/3*x**3 + 5/2*x**2 + 20. Factor k(q).
-(q - 3)*(q - 2)
Let o(k) = 3*k**2 + 11*k - 55. Let i be o(3). Let t(v) be the third derivative of 1/12*v**4 + 0 + 0*v - 2/3*v**3 + 1/30*v**i - 3*v**2. Factor t(x).
2*(x - 1)*(x + 2)
Let f = -9 + -1. Let v = f + 13. Factor -22*i - 2*i**2 + 8*i**v + 22*i.
2*i**2*(4*i - 1)
Let c(m) be the second derivative of 0*m**2 + 1/60*m**5 + 0 + 1/90*m**6 - 1/18*m**3 - 2*m - 1/36*m**4. Factor c(f).
f*(f - 1)*(f + 1)**2/3
Let f = -732 - -738. Let n(k) be the first derivative of -6/5*k**5 + 2*k + 3*k**2 - 1/3*k**f - 3 + 4/3*k**3 - k**4. Factor n(b).
-2*(b - 1)*(b + 1)**4
Let t(v) = 11*v**2 - v - 6. Let h(x) = -11*x + 1 + 6*x - x**2 + 6*x. Let q(s) = 6*h(s) + t(s). Determine m, given that q(m) = 0.
-1, 0
Let y be ((-8)/7)/2 - (-3588)/1771. Determine n, given that -14/11*n**3 + 8/11 - 38/11*n**2 - y*n = 0.
-2, -1, 2/7
Let l(k) be the first derivative of -2*k**5/35 + 16*k**3/7 - 64*k**2/7 + 96*k/7 - 166. Solve l(r) = 0.
-6, 2
Let v = 30 - 28. Suppose 4*g - 2*n - 2 = v, -4*n + 10 = g. Factor -8/9*q + 8/9 - 2/3*q**g.
-2*(q + 2)*(3*q - 2)/9
Let o = -61 - -66. Let d(k) be the second derivative of 0*k**2 + 0 + 5*k - 1/18*k**4 + 1/60*k**o + 0*k**3. Find c, given that d(c) = 0.
0, 2
Let 0*o + 55*o**2 - 52*o**2 - 6 - 6*o - 3 = 0. Calculate o.
-1, 3
Let i(x) = -x**2 + x - 4. Let n(j) = 4*j**3 - 1294*j**2 + 102406*j + 103644. Let t(z) = 10*i(z) - n(z). Factor t(q).
-4*(q - 161)**2*(q + 1)
Let a(w) = -4*w + 86. Let k be a(21). Solve -14*d - 16*d**3 + 13*d**2 + 5*d**k + 31*d - 10*d**4 - 8 - d = 0 for d.
-2, -1, 2/5, 1
Factor -47/6*p + 1/6*p**2 - 49/3.
(p - 49)*(p + 2)/6
Let q be 6*(-35)/(-42) + -5. Let o(g) be the second derivative of 3*g + 0*g**2 + q*g**3 + 1/30*g**5 - 1/18*g**4 + 0. Suppose o(h) = 0. Calculate h.
0, 1
Let u(f) be the third derivative of f**5/6 + 77*f**4/12 + 10*f**3 - f**2 + 102*f. Find s such that u(s) = 0.
-15, -2/5
Suppose v - 1 = -0*v - s, -2*s - 18 = -2*v. Suppose -v = -5*t + 5. Factor -2/5 + 0*b + 2/5*b**t.
2*(b - 1)*(b + 1)/5
Let x(p) be the third derivative of p**6/480 + p**5/120 - 13*p**4/96 + 5*p**3/12 - 15*p**2 - p. What is o in x(o) = 0?
-5, 1, 2
Factor -4 + 1/2*a**3 - 3*a**2 + 6*a.
(a - 2)**3/2
Factor 1/3*v**5 + 10/3*v**3 + 5/3*v + 1/3 + 10/3*v**2 + 5/3*v**4.
(v + 1)**5/3
Let o be (-64)/(-10) - 9/(-90)*6. Suppose o*t - 17 = 11. Factor 0*h - 2/3*h**t + 0*h**3 + 0*h**2 + 0.
-2*h**4/3
Let q(b) be the first derivative of 5*b**4/4 - 25*b**3 + 65*b**2 - 10. Suppose q(f) = 0. Calculate f.
0, 2, 13
Let s(k) be the third derivative of k**5/30 - k**4/8 - 3*k**2 - 57. Find v, given that s(v) = 0.
0, 3/2
Let 2*g**3 + 0 - 8/15*g - 8/5*g**2 - 8/15*g**4 = 0. What is g?
-1/4, 0, 2
Find u, given that 8/3*u - 2 - 2/3*u**2 = 0.
1, 3
What is f in -32/5*f**4 - 4/5*f**3 + 16/5*f - 12/5*f**5 + 32/5*f**2 + 0 = 0?
-2, -1, -2/3, 0, 1
Suppose 11*t - 6*t = t. Let w(r) be the first derivative of 1/20*r**4 + 0*r + t*r**2 - 1 + 2/15*r**3. Factor w(f).
f**2*(f + 2)/5
Let j = -162 - -168. Let k(c) be the third derivative of 0*c**3 + 0*c - 3/20*c**5 + 1/40*c**j + 1/4*c**4 + c**2 + 0. Let k(u) = 0. What is u?
0, 1, 2
Suppose -2*h + 4*t = -50, 2*h - 5*h - 5*t + 31 = 0. Factor h*q**3 + 22*q**4 - 45*q**2 + 13*q**3 - 27*q**4.
-5*q**2*(q - 3)**2
Let j(z) = z + 22. Let o be j(-7). Let x = o + -15. Find d, given that -3*d**4 - 3/2*d**5 + 3/2*d + x*d**3 + 0 + 3*d**2 = 0.
-1, 0, 1
Suppose p = 3*p. Let v be (-1)/((0 + (-6)/14)/(212/742)). Factor p + v*t**2 - 2/3*t**3 + 0*t - 2/3*t**4 + 2/3*t**5.
2*t**2*(t - 1)**2*(t + 1)/3
Let z(f) be the second derivative of 98*f**2 + 0 + 14*f + 5*f**4 - 1/5*f**5 - 42*f**3. Factor z(i).
-4*(i - 7)**2*(i - 1)
Let o(s) be the third derivative of -s**7/1680 + s**6/192 + 13*s**5/480 + 7*s**4/192 + 78*s**2. Solve o(m) = 0 for m.
-1, 0, 7
Let h(j) be the second derivative of -j**6/20 - 3*j**5/80 + 9*j**4/16 + j**3/2 - 3*j**2/2 + 59*j. Find t, given that h(t) = 0.
-2, -1, 1/2, 2
Let i(p) be the second derivative of 0 + 3/100*p**5 - 1/70*p**7 + 11*p - 1/20*p**4 + 0*p**2 + 1/50*p**6 + 0*p**3. What is v in i(v) = 0?
-1, 0, 1
Suppose -13*n = -4*n - 72. Find x such that -44*x**2 + 345*x**4 + 49*x**5 + 18*x**3 + 401*x**4 - 627*x**4 + n*x = 0.
-2, -1, 0, 2/7
Suppose -9 = 2*v + v. Let y be 3 - -1 - (-4 - -1)/v. Factor -1/3*l**4 + 1/3*l**y + 0 - 4/3*l + 4/3*l**2.
-l*(l - 2)*(l - 1)*(l + 2)/3
Suppose 0*a - 2*a + 3*d + 3 = 0, 4*d = 4*a - 4. Let p be (-6 - (-268)/45)*-5. Find b such that -4/9*b**2 + 10/9*b**3 + p*b**5 - 8/9*b**4 + 0 + a*b = 0.
0, 1, 2
Let q(g) be the third derivative of -g**7/42 + 3*g**6/8 - 2*g**5/3 - 7*g**2 - 2. Factor q(n).
-5*n**2*(n - 8)*(n - 1)
Factor -3/7*u**3 + 0 + 0*u + 132/7*u**2.
-3*u**2*(u - 44)/7
Let d(s) be the third derivative of s**5/150 + s**4/6 + 18*s**2. Determine f so that d(f) = 0.
-10, 0
Let s = -4 + -6. Let n be (-4)/10 - 474/s. Factor f - 2*f**2 - f + n*f**3 - 49*f**3.
-2*f**2*(f + 1)
Solve -27/5*r**2 + 144/5*r - 192/5 = 0.
8/3
Factor 0 + 6/13*l**3 - 2/13*l**2 - 8/13*l.
2*l*(l + 1)*(3*l - 4)/13
Let u(m) be the third derivative of -2*m**5/15 + 2*m**3/3 + 6*m**2. Let z(d) = 17*d**2 - d - 7. Let y(w) = 9*u(w) + 4*z(w). Factor y(l).
-4*(l - 1)*(l + 2)
Suppose 5*b - 16 = 4. Let y = 148 + -287/2. Determine w so that -y*w**5 - 47*w**2 - 4 - 97/2*w**3 - 22*w - 24*w**b = 0.
-2, -1, -2/3
Let l = 1008 + -5024/5. Factor 0 + 4/5*m**2 - 4/5*m**4 + l*m**3 - 16/5*m.
-4*m*(m - 4)*(m - 1)*(m + 1)/5
Let n = -6 + 13. Suppose s + 4*m = 5*m + 3, n = 2*s - m. Factor -w + 7*w + w**2 + 8*w - 11*w**2 - s.
-2*(w - 1)*(5*w - 2)
Let m(h) = -27*h - 130. Let f be m(-5). Let q be 2 - (450/55)/f. Factor 2/11*i**4 - 2/11*i**2 + 0 - q*i**3 + 4/11*i.
2*i*(i - 2)*(i - 1)*(i + 1)/11
Let q be 0 - (-24)/32*4. Let w be (6/(-15))/((-8)/5). Factor 0 - 1/4*k**2 + 1/2*k - w*k**q.
-k*(k - 1)*(k + 2)/4
Let z(x) = -2*x**2 + 8*x - 2. Let k(g) = -2*g - 17. Let m be k(-10). Let s be z(m). Suppose 1/2 + 7/2*p**2 - s*p**4 - 7/4*p**5 - p**3 + 11/4*p = 0. Calculate p.
-1, -2/7, 1
Let t be -6*6/(2 - 3). Let q = t + -34. Find u, given that -1/8*u**q + 3/8*u - 1/8*u**4 - 3/8*u**3 + 1/4 = 0.
-2, -1, 1
Suppose -5*k = -9*w + 4*w - 60, 0 = -3*k + 4*w + 41. Suppose 4*v - k = 3*o, -5*v + 5 = 3*o - 24. Let -7/8*x**2 + 3/8*x**o - 1/8 + 5/8*x = 0. What is x?
1/3, 1
Let p(k) = 47*k**2 + 24*k - 2. Let g(z) = 48*z**2 + 24*z - 1. Let u(h) = 2*g(h) - 3*p(h). Factor u(b).
-(3*b + 2)*(15*b - 2)
Let i = -231 - -232. Let v(b) be the first derivative of -i + 0*b - 1/4*b**4 + 0*b**2 + 0*b**3. Find h, given that v(h) = 0.
0
Suppose -3*j + 2*j - 12 = 0. Let c be j/(-9)*(-3)/(-2). Factor -3*w**2 + c*w**2 + 9*w - 6*w - 2.
-(w - 2)*(w - 1)
Let l be ((-1)/(-3))/(2/6) + 1. Let r = -195/4 - -49. Factor r*x**3 - 1/4*x**5 - 1/4*x**4 + 0 + 0*x + 1/4*x**l.
-x**2*(x - 1)*(x + 1)**2/4
Let y = 29 - 29. Suppose -13 = -5*x + 2*u, 0*x - 3*x + 5*u + 4 = y. Let 2/5*o**x - 2/15 - 2/5*o + 4/15*o**4 - 2/15*o**2 = 0. What is o?
-1, -1/2, 1
Let l(h) be the first derivative of -h**3/2 + 4*h**2 - 5*h/2 - 31. Factor l(t).
-(t - 5)*(3*t - 1)/2
Let o(l) be the first derivative of -18/5*l - 2/15*l**3 + 6/5*l**2 - 7. Factor o(q).
-2*(q - 3)**2/5
Factor 7*p**4 + p**4 + 48*p + 44*p**2 - 33*p**3 - 67*p**3.
4*p*(p - 12)*(p - 1)*(2*p + 1)
Let n(t) be the first derivative of 0*t + 3 + 0*t**3 + 1/5*t**2 - 1/10*t**4. Factor n(j).
-2*j*(j - 1)*(j + 1)/5
Factor 9*h**5 - 16*h - 26*h**5 - 8*h**4 + 12*h**3 + 16*h**2 + 13*h**5.
-4*h*(h - 1)**2*(h + 2)**2
Let z be (-6)/(-4) + 161/(-184). Let x(l) be the first derivative of -4 + 1/2*l + 1/3*l**3 + z*l**2 + 1/16*l**4. Factor x(w).
(w + 1)**2*(w + 2)/4
Let s(c) be the second derivative of -c**6/60 - c**5/8 - c**4/3 - c**3/3 - 6*c + 2. Factor s(j).
-j*(j + 1)*(j + 2)**2/2
Let u(j) be the second derivative of 0*j**2 - 2/63*j**3 - 1/42*j**4 + 8*j + 0 - 1/210*j**5. Factor u(y).
-2*y*(y + 1)*(y + 2)/21
Solve -11*v + 76/7*v**3 - 2/7*v**2 - 38/7 + 1/7*v**5 + 40/7*v**4 = 0.
-38, -1, 1
Let a(d) = 8*d**3 + 22*d**2 - 6*d - 78. Let j(m) = 27*m**3 + 67*m**2 - 17*m - 233. Let x(z) = -7*a(z) + 2*j(z). Factor x(k).
-2*(k - 2)*(k + 2)*(k + 10)
Let x(j) be the third derivative of -j**5/15 + j**4/2 + 80*j**3/3 + 4*j**2 + 40. Determine f, given that x(f) = 0.
-5, 8
Suppose -2*u = -3*u + 4. Let f be 36/(-15)*20/(-6). Determine x, given that f*x**2 - 2*x**4 - 4*x**3 + 3*x**