*r**3.
2*(r - 8)*(r - 1)**4/3
Let d(s) be the second derivative of s**4/20 + 13*s**3/10 - 127*s. Factor d(l).
3*l*(l + 13)/5
Let o be (15/2)/5*(-112)/(-42). Factor -3*b**o + 27*b + 11*b**3 - 45*b**2 - 33*b**3 + 43*b**3.
-3*b*(b - 3)**2*(b - 1)
Let y(s) be the first derivative of -s**3/6 - 31*s**2/4 - 54*s + 840. Factor y(q).
-(q + 4)*(q + 27)/2
Let i(v) be the third derivative of -v**8/112 - v**7/35 + v**5/10 + v**4/8 + 63*v**2. Factor i(d).
-3*d*(d - 1)*(d + 1)**3
Let m(v) = 160*v - 309. Let t be m(2). Let o(r) be the first derivative of 10*r + 15/2*r**2 + t + 5/3*r**3. Let o(a) = 0. What is a?
-2, -1
Let d(b) = -b**2 - 3*b - 1. Let u(n) = 3*n**2 + 255*n + 6. Let s(y) = 6*d(y) + u(y). Factor s(c).
-3*c*(c - 79)
Find z such that -96/13 + 16/13*z + 10/13*z**2 - 2/13*z**3 = 0.
-3, 4
Let f(y) = -y**4 - 5*y**3 + y**2 + 3*y - 8. Let h(i) = -4*i**4 - 15*i**3 + 2*i**2 + 8*i - 26. Let d(l) = -21*f(l) + 6*h(l). Find p such that d(p) = 0.
-1, 1, 4
Suppose 10 = 4*v - 3*v. Suppose -8 = -4*m - 4*s, 0 = -4*m + s + 28 - v. Solve 3*y**4 - 15*y**3 + 3*y + 9*y**2 + y**m + y**4 + y**4 - 3 = 0 for y.
-1/2, 1
Let l(d) be the third derivative of -2*d**7/525 + 11*d**6/150 - 7*d**5/15 + 5*d**4/6 + 4*d**2 + 5. Factor l(c).
-4*c*(c - 5)**2*(c - 1)/5
Let c be 4 - (-3)/6*-2. Solve o**3 - 2*o**2 + 32*o**4 + c*o**3 - 30*o**4 - 4*o = 0.
-2, -1, 0, 1
Let d(m) = -31*m**3 + 52*m**2 + 169*m - 2809. Let o(n) = 7*n**3 - 13*n**2 - 42*n + 702. Let t(r) = 2*d(r) + 9*o(r). Factor t(y).
(y - 10)**2*(y + 7)
Suppose 2/5*z**2 + 0 - 1/5*z - 1/5*z**3 = 0. What is z?
0, 1
Let p = 2047/1295 + 5/259. Let 0 - 8/5*s**3 + 28/5*s**4 - 28/5*s**2 + p*s = 0. What is s?
-1, 0, 2/7, 1
Factor -1/5*n**4 + 2/5*n**2 - 1/5 + 1/5*n - 2/5*n**3 + 1/5*n**5.
(n - 1)**3*(n + 1)**2/5
Let q = -58 - -61. Suppose 4*z - z = -q*z. Let 2/11*b**4 + 0*b + z*b**2 + 0 + 2/11*b**3 = 0. Calculate b.
-1, 0
Let k(f) be the first derivative of -2/7*f + 0*f**2 - 13 + 2/21*f**3. Factor k(c).
2*(c - 1)*(c + 1)/7
Let y(k) be the third derivative of -7*k**6/180 - 398*k**5/45 - 7505*k**4/12 + 722*k**3 + k**2 + 378*k. Determine i, given that y(i) = 0.
-57, 2/7
Let g be 6 - 18/(-405)*84. Determine w, given that -24/5*w**4 - 56/5*w**3 - 8/15 - 56/15*w - g*w**2 = 0.
-2/3, -1/2
Let a be 3 - (3060/(-28) + 4/14). Let h be 9/(-28) + a/196. Let -1/4*t**3 + 1/2*t**2 - h*t + 0 = 0. Calculate t.
0, 1
Let x(c) = 2*c**2 + 303*c + 2435. Let n be x(-143). Determine w so that 3/2*w**3 + 9/8*w**2 - 3/4*w - 3/8 - 3/2*w**n = 0.
-1/2, 1
Let r = 382 + -372. Suppose 2*c - r = -4*x, 3 = -4*c + c. Factor -2/3 + 4/3*m + 7/6*m**2 - 5/6*m**x.
-(m - 2)*(m + 1)*(5*m - 2)/6
Let h(l) be the second derivative of 3*l**5/100 - 7*l**4/60 + l**3/15 - 51*l. Factor h(c).
c*(c - 2)*(3*c - 1)/5
Suppose -5*a + 180 = 2*l - 2*a, -4*a - 496 = -5*l. Let f = -479/5 + l. Factor -1/5 - f*u**2 - 2/5*u.
-(u + 1)**2/5
Let p(n) be the first derivative of -3*n**7/7 + n**6 - 7*n**5/10 + n**4/6 - 30*n - 35. Let k(l) be the first derivative of p(l). Factor k(h).
-2*h**2*(h - 1)*(3*h - 1)**2
Let p(n) = 5*n**2 - 8*n + 8. Let v(h) = 4*h**2 - 7*h + 8. Let m(t) = -5*p(t) + 6*v(t). Factor m(x).
-(x - 2)*(x + 4)
Let z = -42 - -46. Suppose -z*t = 4*h - 2*t - 10, -3*h = -4*t + 20. Factor 0*q + h + 4/5*q**2 - 2/5*q**3.
-2*q**2*(q - 2)/5
Suppose 2*p - 5 = -13. Let b be ((-9)/48)/(p/16*1). What is t in -3/2 - 15/2*t**4 - b*t**3 + 9*t**2 + 3/4*t = 0?
-1, -1/2, 2/5, 1
Factor -8000/7 - 60/7*w**2 + 1200/7*w + 1/7*w**3.
(w - 20)**3/7
Let a be (3/(-2))/(-3 + 12235/4070). Let d = a + 245. Factor 14/5*y**3 + 6/5*y - d + 24/5*y**2.
2*(y + 1)**2*(7*y - 2)/5
Let z be (-1 - -1) + -9 + 10 + 1. Factor -5/4*j**2 - 1 - z*j - 1/4*j**3.
-(j + 1)*(j + 2)**2/4
Let k(q) be the first derivative of q**5/10 + 39*q**4/8 + 60*q**3 - 100*q**2 - 366. Factor k(l).
l*(l - 1)*(l + 20)**2/2
Let q(y) = -5*y**2 + 25. Let x(i) = -4 - 2 + 5. Let a(c) = q(c) + 5*x(c). Factor a(k).
-5*(k - 2)*(k + 2)
Let x(w) = -2 + w**2 + 3 - w + 0 + 0*w. Let g(q) = -16*q**3 - 28*q**2 - 16*q + 8. Let n(z) = -g(z) + 8*x(z). Suppose n(a) = 0. Calculate a.
-2, -1/4, 0
Suppose 5*z - 34 = -24. Let s(t) be the first derivative of 0*t**3 - 2*t + 3/2*t**z - 1/4*t**4 + 2. Factor s(x).
-(x - 1)**2*(x + 2)
Let m(t) be the first derivative of 14 - 10*t**2 + 5/3*t**3 + 20*t. Determine q so that m(q) = 0.
2
Let g(a) be the first derivative of -8*a - 4/3*a**3 + 6*a**2 - 13. Factor g(o).
-4*(o - 2)*(o - 1)
Let r(n) be the second derivative of 2*n**6/15 - 21*n**5/5 - 15*n**4 - 46*n**3/3 + 42*n - 3. Factor r(j).
4*j*(j - 23)*(j + 1)**2
Let w be -1 + -2 + 26/((-104)/(-14)). Solve 3/2*u - w*u**2 + 2 = 0 for u.
-1, 4
Let g = -3499/4 - -3501/4. Determine m, given that 0 + 0*m**2 - g*m**3 + 1/2*m = 0.
-1, 0, 1
Let s = -2083/240 - -87/10. Let i(c) be the third derivative of 0*c - 1/12*c**3 - 5*c**2 + 1/240*c**6 + 0 - s*c**4 + 1/120*c**5. Suppose i(q) = 0. What is q?
-1, 1
Let y be 361/(-190) + (4/2 - 0). Let u(j) be the second derivative of 1/2*j**4 + 0 - y*j**5 + j + 5/3*j**3 + 2*j**2 - 1/15*j**6. Factor u(d).
-2*(d - 2)*(d + 1)**3
Factor -6/13*h**2 + 4/13*h + 2/13*h**3 + 0.
2*h*(h - 2)*(h - 1)/13
Solve 9/5*c**5 + 0*c - 18/5*c**2 + 0 + 12/5*c**4 - 51/5*c**3 = 0.
-3, -1/3, 0, 2
Let d(z) be the first derivative of -z**5/8 - 5*z**4/8 + 5*z**3/12 + 15*z**2/4 + 24*z + 15. Let t(r) be the first derivative of d(r). Let t(p) = 0. Calculate p.
-3, -1, 1
Let j(a) be the second derivative of 27*a**7/28 - 93*a**6/20 + 137*a**5/20 - 7*a**4/2 + 2*a**3/3 + 97*a. Find d such that j(d) = 0.
0, 2/9, 1, 2
Let t be ((-6)/(-144))/(1/6). Let l(s) be the second derivative of 3/20*s**5 + 0 - 5*s + 0*s**2 - s**3 + t*s**4. Factor l(z).
3*z*(z - 1)*(z + 2)
Let j = 2/2626535 + 1116275857/1993540065. Let q = -1/69 + j. Suppose -2/11*a**2 - 4/11 - q*a = 0. What is a?
-2, -1
Let f(y) be the second derivative of -5/4*y**4 + 0*y**3 + 5*y + 1/4*y**5 + 10*y**2 + 0. Factor f(p).
5*(p - 2)**2*(p + 1)
Let k(a) be the third derivative of 0 - 7/240*a**6 + 19*a**2 - 1/84*a**7 + 0*a**3 - 1/672*a**8 + 0*a + 0*a**4 - 1/40*a**5. Factor k(c).
-c**2*(c + 1)**2*(c + 3)/2
Let x = 112/5 - 22. Suppose 2*c - 2 = 2*g, 22 = -4*c + 5*g + 25. Factor -j**3 - 12/5*j**c - x - 9/5*j.
-(j + 1)**2*(5*j + 2)/5
What is q in -648/7 - 2/7*q**2 - 72/7*q = 0?
-18
Solve -2/9*g**2 + 20/9 - 2*g = 0 for g.
-10, 1
Let n(r) be the third derivative of -r**5/80 - 9*r**4/16 - 81*r**3/8 - 69*r**2. Find o, given that n(o) = 0.
-9
Factor 69*h**5 - 3*h**4 - 22*h**4 + 40*h**3 - 32*h**5 - 32*h**5 - 20*h**2.
5*h**2*(h - 2)**2*(h - 1)
Let u(i) = -i - 4. Let d be u(-9). Let m be ((-36)/(-10) + -3)*d. Factor 20*o**2 + 14*o + 11 - 13*o + 5*o**m - 1 + 24*o.
5*(o + 1)**2*(o + 2)
Let f(w) be the third derivative of 0*w + 0 - 1/150*w**5 + 1/525*w**7 + 0*w**3 + 1/30*w**4 - 1/150*w**6 + 14*w**2. Factor f(c).
2*c*(c - 2)*(c - 1)*(c + 1)/5
Let j(y) be the first derivative of y**3/3 - 5*y**2 + 9*y + 69. Let j(f) = 0. What is f?
1, 9
Factor -49 - 113 - 26 - 55 - 54*s - 3*s**2.
-3*(s + 9)**2
Let z(m) be the third derivative of 8/105*m**7 - 1/5*m**5 - 2/3*m**3 - 5/6*m**4 + 1/6*m**6 + 39*m**2 + 2 + 0*m. Factor z(g).
4*(g - 1)*(g + 1)**2*(4*g + 1)
Suppose -3751*m = -3685*m. Factor m + 6*f + 2/3*f**3 - 4*f**2.
2*f*(f - 3)**2/3
Let c = -12 + 51. Solve -1 + 1 - 41*y + c*y + 2*y**3 = 0.
-1, 0, 1
Let y = -2/2981 + 3281/447150. Let b(k) be the third derivative of 0 + 0*k - 1/300*k**5 - 1/30*k**4 + y*k**6 + 1/30*k**3 + 9*k**2. Solve b(s) = 0 for s.
-1, 1/4, 1
Suppose 4*n + 12 = 32, -2*g - 5*n + 33 = 0. Suppose -91 = -34*z + 11. Find p, given that g*p**z + 23*p - 4*p**2 - 23*p = 0.
0, 1
Let -26/9*u + 2/9*u**3 + 2/9*u**4 - 4/3 - 14/9*u**2 = 0. What is u?
-2, -1, 3
Let d be 1/4 - (-264)/96. Determine n, given that 3/5*n**3 + 0*n + 0 + d*n**2 = 0.
-5, 0
Let l(g) = -2*g**3 - 10*g**2 + 11*g - 4. Let t(v) = 4 + 15*v + 3*v**3 - v**2 - 27*v + 10*v**2. Let j(w) = -4*l(w) - 5*t(w). Factor j(b).
-(b - 1)*(b + 2)*(7*b - 2)
Let f(x) be the second derivative of 16/9*x**2 + 0 - 8/9*x**3 - 1/90*x**5 - 29*x + 1/6*x**4. Solve f(i) = 0.
1, 4
Let h(z) be the first derivative of -z**8/1680 + z**7/84 - 5*z**6/72 - 13*z**3/3 - 8. Let q(n) be the third derivative of h(n). Find t, given that q(t) = 0.
0, 5
Let z be 1/3*((-315)/15 + 21). Determine q so that -3/5*q**3 + z + 6/5*q**2 + 0*q = 0.
0, 2
Suppose