**4 - 16335*h.
-5*h*(h + 11)**2*(h + 27)
Let r(f) be the second derivative of f**6/90 + 7*f**5/60 + f**4/3 - 2*f**3/9 - 8*f**2/3 + 51*f + 2. Factor r(l).
(l - 1)*(l + 2)**2*(l + 4)/3
Let j(q) be the second derivative of -q**5/100 + 181*q**4/60 - 752*q**3/3 - 30926*q**2/5 - 8*q - 53. Factor j(o).
-(o - 94)**2*(o + 7)/5
Let -134251*p - 148955*p**3 + 6231 + 216225*p**2 + 10644 + 29626*p = 0. What is p?
15/31
Let r = -1/56980 + 68377/56980. Suppose 0*m + 2/5*m**3 + r*m**2 - 8/5 = 0. Calculate m.
-2, 1
Determine y so that 4851*y**3 + 60*y**4 + 2383*y**2 - 5803*y**2 + 2685*y**2 - 486*y = 0.
-81, -1/4, 0, 2/5
Let p(k) be the second derivative of -k**7/3060 - k**6/1530 + k**5/340 + 3*k**4/4 + 17*k. Let z(i) be the third derivative of p(i). What is c in z(c) = 0?
-1, 3/7
Determine f, given that 9/2*f + 0 + 87/2*f**2 + 33/2*f**4 - 129/2*f**3 = 0.
-1/11, 0, 1, 3
Let u(d) be the first derivative of -1/10*d**4 + 0*d**2 + 0*d - 2/5*d**3 + 12. Suppose u(t) = 0. Calculate t.
-3, 0
Find n such that 1/5*n**3 - 4/5*n - 4/5*n**2 + 16/5 = 0.
-2, 2, 4
Let l(y) be the first derivative of -3/4*y - 7/16*y**2 + 1/32*y**4 + 0*y**3 - 15. Factor l(r).
(r - 3)*(r + 1)*(r + 2)/8
Let o(p) be the third derivative of p**5/30 - 1459*p**4/3 + 8514724*p**3/3 - 746*p**2. Find k such that o(k) = 0.
2918
Let w(x) be the first derivative of -11*x**3/2 - 1827*x**2 - 3288. What is t in w(t) = 0?
-2436/11, 0
Let c(i) be the second derivative of i**4/60 + 11*i**3/30 + 14*i**2/5 + 13863*i. Let c(w) = 0. What is w?
-7, -4
Let n = -315056 - -315060. Let 28/3*i**n + 16/3*i**5 + 0 - 4/3*i**2 + 0*i + 8/3*i**3 = 0. What is i?
-1, 0, 1/4
Let h(p) = p**3 + 5*p**2 - p - 2. Let r = 22 + -27. Let d be h(r). Factor 46*g + 1 - 48*g**d + 5 + 72*g**2 - g.
-3*(g - 2)*(4*g + 1)**2
Suppose 18 = 3*p + 6. Suppose 1914*w = 1894*w + 320. Solve -7*v**p - 3*v**4 - 10*v**4 + 48*v**2 + 12*v**3 + w*v = 0.
-1, -2/5, 0, 2
Let z(t) = 2*t**2 + 5*t + 5. Let a be z(-2). Suppose 2 + 7*r**4 - 13*r**4 + 8*r**4 + 2*r**5 - r**3 + 2*r - 4*r**2 - a*r**3 = 0. What is r?
-1, 1
Let x = -6426 - -44984/7. Let o(k) be the first derivative of -9 + 0*k + 8/21*k**3 + 0*k**4 + 2/21*k**6 - 8/35*k**5 - x*k**2. Factor o(u).
4*u*(u - 1)**3*(u + 1)/7
Suppose -10*g + 18 = -16*g. Let m(y) = -3*y**2 - 5*y + 16. Let h be m(g). Find t such that 2/11*t + 0 + 20/11*t**h + 6/11*t**5 + 24/11*t**3 + 12/11*t**2 = 0.
-1, -1/3, 0
Let p(d) be the third derivative of -5*d**8/336 + 4*d**7/7 - 8*d**6 + 128*d**5/3 + d**2 - 587. Find j, given that p(j) = 0.
0, 8
Let c(h) be the third derivative of h**6/1440 + h**5/48 + 7*h**4/32 + 89*h**3/3 + 226*h**2. Let a(o) be the first derivative of c(o). Factor a(v).
(v + 3)*(v + 7)/4
Let k(j) be the third derivative of j**8/1344 + j**7/35 + 9*j**6/20 + 18*j**5/5 + 27*j**4/2 + 338*j**2. Solve k(z) = 0 for z.
-6, 0
Let t(x) = -x**3 + 2*x**2 + x + 10. Let p be t(0). Let 6*u**3 + p*u**2 + 8 + 3*u + 14*u + 0 - 5*u**3 = 0. What is u?
-8, -1
Determine r, given that -32/5 + 6*r + 2/5*r**2 = 0.
-16, 1
Let k = -810 - -810. Let s be 1 + k - (-4 + 91/26). Find v such that -5/6*v**2 - s*v**3 + 7/6*v**4 + 3/2*v - 1/3 = 0.
-1, 2/7, 1
Let b(p) = p**4 + 20*p**3 - 19*p**2 + 10*p. Let v(u) = -4*u**4 - 64*u**3 + 56*u**2 - 30*u. Let w(m) = -14*b(m) - 4*v(m). Factor w(k).
2*k*(k - 10)*(k - 1)**2
Let x(v) be the first derivative of -v**6/90 - 2*v**5/15 - 43*v**3/3 - 64. Let y(a) be the third derivative of x(a). Determine z so that y(z) = 0.
-4, 0
Let m(z) be the second derivative of -5/36*z**4 - 1 + 1/90*z**6 + z + 2/3*z**2 + 1/20*z**5 - 1/6*z**3. Let m(h) = 0. What is h?
-4, -1, 1
Let c = -803 + 291. Let v be (48/15)/(-4) + c/(-40). Factor -101*d**3 + 3 - 10 - 9 - v*d**2 + 48*d + 81*d**3.
-4*(d - 1)*(d + 2)*(5*d - 2)
Let p(z) be the second derivative of -17/12*z**4 + 324*z - 1/8*z**5 - 5*z**2 - 49/12*z**3 + 0. Factor p(v).
-(v + 1)*(v + 5)*(5*v + 4)/2
Factor 16817*z + 2123*z**3 + 2389*z**3 - 45227*z**2 - 1365*z**2 + 208*z**4 + 2*z**5 + 83535*z.
2*z*(z - 4)**2*(z + 56)**2
Let z = 117 - 69. Suppose 0 = -0*u + 4*u - z. Factor 27 + f - u - f**2 - 13.
-(f - 2)*(f + 1)
Suppose 911*z + 53792 = 2693*z + 1580*z. Determine m so that 160 - z*m + 2/5*m**2 = 0.
20
Let a = -333265/2 - -166641. Let -a*s**2 + 1/2*s**3 - 32 + 40*s = 0. Calculate s.
1, 8
Let v = -1921 + 1921. Let m(t) be the third derivative of 0*t**6 + 14*t**2 - 1/120*t**4 + v - 1/150*t**5 + 1/1680*t**8 + 0*t**3 + 1/525*t**7 + 0*t. Factor m(u).
u*(u - 1)*(u + 1)**3/5
Let q be (-15)/(-250)*690 - 56/8. Suppose -24/5*a**4 - q*a**3 - 164/5*a - 4 - 292/5*a**2 = 0. Calculate a.
-5, -1, -1/6
Let x(q) be the third derivative of q**5/240 - 23*q**4/96 - 35*q**3/6 + q**2 + 3843*q. Suppose x(n) = 0. What is n?
-5, 28
Factor 1/2 + 3/4*o - 1/2*o**2.
-(o - 2)*(2*o + 1)/4
Let v(r) be the second derivative of 1 - 2/3*r**2 + 4/9*r**3 + 7*r - 2/15*r**5 + 2/45*r**6 + 0*r**4. Suppose v(s) = 0. What is s?
-1, 1
Let u be 1/(((-32)/3128)/(-4)). Suppose 396*c - u*c = 20. What is a in 76/3*a**2 + 16/3 + 16/3*a**c + 56/3*a + 50/3*a**3 + 2/3*a**5 = 0?
-2, -1
Suppose -777*f**2 + 3*f**3 - 641 - 495*f**2 - 639 + f**3 - 2556*f = 0. Calculate f.
-1, 320
Let u(j) be the second derivative of -j**7/15120 - 11*j**6/4320 - j**5/72 - 13*j**4/12 + 143*j. Let o(y) be the third derivative of u(y). Solve o(q) = 0 for q.
-10, -1
Let t(y) be the first derivative of 13/15*y**6 - 49 - 74/25*y**5 - 8/5*y - 4*y**2 + 7/10*y**4 + 82/15*y**3. Find z, given that t(z) = 0.
-1, -2/13, 1, 2
Let g = 71546 - 71542. Let c = -625/3 - -211. Factor 16*f**2 - c - 28/3*f**3 - g*f.
-4*(f - 1)**2*(7*f + 2)/3
Let y(g) = 35*g - 415. Let p(f) = -52*f + 624. Let l(b) = -5*p(b) - 7*y(b). Let o be l(15). Factor o + 2/5*x**2 + 4*x.
2*(x + 5)**2/5
Let u(a) be the first derivative of 2*a**3 + 0*a + 3*a**5 + 21/4*a**4 + 85 + 0*a**2. Factor u(t).
3*t**2*(t + 1)*(5*t + 2)
Let q(o) be the third derivative of -13*o**5/15 - 389*o**4/3 + 80*o**3 - 11*o**2 + 24*o - 2. Suppose q(m) = 0. What is m?
-60, 2/13
Let z = 1/315353 + 1261409/946059. Factor 0 + z*r**2 - 28/3*r.
4*r*(r - 7)/3
Factor -1/5 + 244/5*s + 49*s**2.
(s + 1)*(245*s - 1)/5
Let a(u) = -u**3 + 7*u**2 + 87*u + 174. Let z be a(-3). Let 1/2*h**5 - 3/2*h**2 + 3/2*h**4 + 1/2*h**z + 0 - h = 0. What is h?
-2, -1, 0, 1
Let l(m) = -m**4 - 2*m**3 - m**2 + m. Let f(b) = -b**5 + 18*b**4 - 26*b**3 + 58*b**2 - 39*b + 8. Let u(w) = -f(w) - 6*l(w). Find n, given that u(n) = 0.
1, 8
Suppose -i = -5*t - 32, t = -3*i - 0*i + 32. Factor -10*b**3 + i*b**3 + b**5 + 0*b**5 - 5*b**3 - 2*b**4.
b**3*(b - 3)*(b + 1)
Let k(c) be the second derivative of 8*c**6/3 + 42*c**5 + 335*c**4/4 - 665*c**3/6 + 45*c**2 + 1562*c. Factor k(o).
5*(o + 2)*(o + 9)*(4*o - 1)**2
Let r(u) be the third derivative of -1/40*u**6 + 0*u**4 - 11*u**2 + 0*u - 2 + 2/5*u**5 + 0*u**3. Suppose r(f) = 0. What is f?
0, 8
Suppose 3*q - f - 181 = 0, -f - 19 = -q + 42. Factor 3*o**3 + 2*o**3 + q*o + o**3 + 18 - 46*o**2 + 2*o**3.
2*(o - 3)**2*(4*o + 1)
Let b(v) be the third derivative of 1/15*v**5 - 32/3*v**3 + 0 - v**4 - 100*v**2 + 0*v. Factor b(t).
4*(t - 8)*(t + 2)
Factor -1932/13*p + 466578/13 + 2/13*p**2.
2*(p - 483)**2/13
Suppose 0 = -283*n + 242*n + 82. Let w(l) be the first derivative of 1/12*l**4 + 2/9*l**3 + 20 - 2/3*l**n - 8/3*l. Factor w(t).
(t - 2)*(t + 2)**2/3
Factor 0 + 1/4*i**2 - 263/4*i.
i*(i - 263)/4
Let l(i) be the third derivative of -i**5/20 - 83*i**4/8 - 41*i**3 + 321*i**2 + 3. Find p, given that l(p) = 0.
-82, -1
Let n(i) be the second derivative of -7 - 7/4*i**3 + 1/16*i**4 + 147/8*i**2 + 4*i. Factor n(r).
3*(r - 7)**2/4
Suppose -4*x + 244 = 12. Let a = x - 54. Factor -60*b**2 - 16*b**3 + 32*b**2 + a + b - 9*b.
-4*(b + 1)**2*(4*b - 1)
Let a be 24/2 + 6*13/(-39). Determine t, given that -2157*t**5 + 40*t + t**4 + 0*t**4 + 2156*t**5 - a*t**2 - 16*t**2 + 18*t**3 - 26*t**2 = 0.
-5, 0, 2
Let v(f) = -2*f + 60. Let p be v(28). Factor -82*y - p*y**2 + 3*y**2 + 19*y + 4*y**2.
3*y*(y - 21)
Let b(c) = 3*c + 5. Let h be b(-5). Let i = h - -13. Factor m - 3 - 6*m - i*m**2 + 11*m.
-3*(m - 1)**2
Let c = 812917/27 - 30108. Let j(f) be the first derivative of 4*f - 31 - 2/3*f**2 + c*f**3. Determine k, given that j(k) = 0.
6
Let p(o) be the third derivative of -o**7/560 - 9*o**6/320 - 3*o**5/32 - 7*o**4/64 + 2*o**2 - 813*o. Find g such that p(g) = 0.
-7, -1, 0
Suppo