ond derivative of 0*z**3 - 81/4*z**4 + 3 + 22*z + 9/10*z**5 + 0*z**2 - 1/90*z**6. Factor h(m).
-m**2*(m - 27)**2/3
Suppose -128 = -32*x + 16*x. Let g be x/(4 + -28) + 1. Determine u so that -1/3*u**5 + g*u**2 - u + 4/3*u**3 - 2/3 + 0*u**4 = 0.
-1, 1, 2
Let f(t) be the second derivative of t**10/15120 + t**9/945 - 3*t**8/1120 + 57*t**4/2 - 336*t. Let j(x) be the third derivative of f(x). Factor j(a).
2*a**3*(a - 1)*(a + 9)
Let t = 562 + -559. Solve -35*v - 12*v**2 + 99 - v**t - 124 + v**2 = 0 for v.
-5, -1
Let a(h) = -h**2 + 18*h + 49. Let f be a(20). Let k = f - -47. Solve -24*o**2 - 68*o**3 + 14 - 743*o + k*o**4 + 771*o - 6 = 0 for o.
-1/2, -2/7, 1
Let k(f) be the second derivative of 1/36*f**4 + 0*f**3 + 33*f - 1/6*f**2 + 0. Find w such that k(w) = 0.
-1, 1
Let k(q) be the third derivative of q**6/420 - 43*q**5/210 + 227*q**4/84 - 185*q**3/21 + 3562*q**2. Factor k(z).
2*(z - 37)*(z - 5)*(z - 1)/7
Let l be (6/(-7))/((-186)/8680). Let q be ((-3558)/510 + 7)/(1/l). Let -54/17*d**3 - 8/17*d + q - 108/17*d**2 + 54/17*d**4 = 0. What is d?
-2/3, 1/3, 2
Let w(v) be the first derivative of 2*v**3/9 + 64*v**2/3 - 230*v - 345. Factor w(m).
2*(m - 5)*(m + 69)/3
Let -5*d**4 + 355531*d - 295*d**2 - 181*d**3 + 16*d**3 - 355066*d = 0. What is d?
-31, -3, 0, 1
Factor -70*h + 153*h**2 + 9*h**2 - 5*h**4 - 35*h**3 - 40*h**3 + 12*h**3 - 25*h**2 + h**5.
h*(h - 10)*(h - 1)**2*(h + 7)
Let x = 154901/5 - 30497. Let r = x - 482. Factor -r*k**3 + 0 + 2/5*k**4 - 2/5*k + 6/5*k**2.
2*k*(k - 1)**3/5
Suppose 0*o = 3*o - 45, -3246*z - o = -3245*z - 17. Factor -20/23*y - 18/23 - 2/23*y**z.
-2*(y + 1)*(y + 9)/23
Factor -34544 + 4*b**2 + 2229886 + 384854 + 857120 - 10600*b + 3184*b.
4*(b - 927)**2
Let s be (-230)/2070 + (244/144 - 2)*-2. Factor s + 1/4*q - 1/4*q**2.
-(q - 2)*(q + 1)/4
Let g = -4461 - -4461. Let r(j) be the third derivative of 19*j**2 + 0*j**3 + 0*j**4 + 0*j**5 + 0*j + 1/630*j**7 + g + 1/360*j**6. Factor r(m).
m**3*(m + 1)/3
Let c = 953077 + -4765321/5. Determine a so that 0 + c*a + 16/5*a**2 - 24/5*a**3 - 4/5*a**4 + 2/5*a**5 = 0.
-2, 0, 2, 4
Suppose 14 = 4*u - 3*z, -2*z - 17 = -13. Find m, given that -m**2 + 2*m**2 - 3*m**3 - 3*m**2 - m**u = 0.
-1, 0
Let q be 19 + 1/17*(-483 + 168). Let q*l - 2/17*l**2 + 10/17 = 0. Calculate l.
-1, 5
Let g be (3/4)/(27/72). Let j(d) = -2*d**2 - 13*d - 10. Let o be j(-5). Let g*h**2 - 3*h**o + 7*h**5 + 12*h - 10*h**2 + 8*h**4 - 16*h**3 = 0. Calculate h.
-3, -1, 0, 1
Let d(x) be the first derivative of -x**4/8 + 7*x**3 - 80*x**2 - 815. Solve d(g) = 0.
0, 10, 32
Find t, given that 103870*t**3 + 14*t - 103869*t**3 + 0*t - 10*t**2 + 70 - 3*t = 0.
-2, 5, 7
Let n(s) be the third derivative of -s**7/3024 + s**6/432 - s**5/144 - s**4/24 - 26*s**3/3 - 69*s**2. Let d(i) be the second derivative of n(i). Factor d(o).
-5*(o - 1)**2/6
Let u be ((-5 - -1) + -6 - -10)/(14 - 10). Factor 0*d - 15/2*d**3 + u*d**2 + 9*d**4 + 0 - 3/2*d**5.
-3*d**3*(d - 5)*(d - 1)/2
Let f(u) be the third derivative of -1/120*u**5 - 4/3*u**3 + 0*u + 1 - 35*u**2 - 1/6*u**4. Find t such that f(t) = 0.
-4
Let y(h) be the third derivative of -h**6/24 + h**5/2 + 155*h**4/24 - 30*h**3 + 11*h**2 + 28. Find n, given that y(n) = 0.
-4, 1, 9
Factor 3*l**2 - 1771*l + l**2 + 606 - 15562 - 13181*l.
4*(l - 3739)*(l + 1)
Let x(q) = 5*q - 3. Let a(d) = d. Let z(f) = -4*a(f) + x(f). Let g be z(6). Factor 3*m**g - 20*m**2 + 8*m**3 + 8*m + 5*m**3 + 29*m**4 - 33*m**4.
-4*m*(m - 2)*(m - 1)**2
Let i = -967/6 - -2419/15. Let q(a) be the second derivative of 0 + 0*a**4 + 0*a**2 + i*a**5 + 0*a**6 + 23*a - 1/21*a**7 + 0*a**3. Let q(b) = 0. What is b?
-1, 0, 1
Suppose -302*l + 305*l - 3*t = -36, 8*t - 96 = 0. Factor 0 - 1/6*o**5 - 2/3*o**3 + 0*o + l*o**2 - 5/6*o**4.
-o**3*(o + 1)*(o + 4)/6
Let d(t) be the third derivative of -t**5/120 + 145*t**4/48 - 143*t**3/6 - 149*t**2 - 5*t. Factor d(a).
-(a - 143)*(a - 2)/2
Let o(j) = -308*j**2 - 617*j + 4. Let x(r) = -310*r**2 - 620*r + 5. Let p(i) = 5*o(i) - 6*x(i). Determine g so that p(g) = 0.
-2, 1/64
Factor -29*o**3 + 9757447*o**4 - 9757442*o**4 - o**3 - 80*o**2.
5*o**2*(o - 8)*(o + 2)
Suppose 4043 + p**2 - 16*p - p**4 - 1348 - 1340 + 4*p**3 - 1343 = 0. What is p?
-2, 1, 2, 3
Let r(l) be the third derivative of -l**5/240 - 7*l**4/32 - 17*l**3/6 - 3287*l**2. Suppose r(z) = 0. Calculate z.
-17, -4
Let f(s) = 50*s**2 - 270*s + 274. Let o(j) = 34*j**2 - 270*j + 272. Let n(x) = -2*f(x) + 3*o(x). Find l, given that n(l) = 0.
1, 134
Let b(a) be the second derivative of -a**7/1260 - 7*a**6/30 - 147*a**5/5 + a**4/4 + 4*a**3/3 - 108*a. Let k(x) be the third derivative of b(x). Factor k(s).
-2*(s + 42)**2
Let d be 5 + -356 + 15/(-3). Let q = d + 356. Suppose q + 2/11*t**2 - 2/11*t = 0. Calculate t.
0, 1
Let b(q) be the second derivative of 48/5*q**2 + 2*q + 14/3*q**3 + 128 + 4/5*q**4 + 1/25*q**5. Factor b(r).
4*(r + 1)*(r + 3)*(r + 8)/5
Let p = 427458 + -1282373/3. What is b in -14/3 + 5/3*b**3 - p*b**4 + 5*b**2 - 5/3*b = 0?
-2, -1, 1, 7
Let y(t) be the third derivative of t**7/42 + 337*t**6/120 - 229*t**5/15 - 35*t**4/2 + 7716*t**2. Let y(z) = 0. What is z?
-70, -2/5, 0, 3
Suppose 2*y + 50 = 2*m, -26 = -4*m + 2*m - 4*y. Determine o, given that 30 + 18*o**2 - 31*o**2 + 16*o**2 + m*o = 0.
-5, -2
Let j = 1/43034 - -1635289/129102. Factor -2/3*i**3 - j*i - 22/3*i**2 - 6.
-2*(i + 1)**2*(i + 9)/3
Let r(y) be the third derivative of y**7/175 + 101*y**6/50 + 10977*y**5/50 + 19594*y**4/5 + 150544*y**3/5 + y**2 - 38*y + 10. What is j in r(j) = 0?
-97, -4
Factor -w**2 + 2/3*w + 4 - 1/6*w**3.
-(w - 2)*(w + 2)*(w + 6)/6
Let i be ((-18)/(-12))/((-1)/(-2)). Suppose 0*b - 6 = -i*b. What is o in o**4 - b*o + 5*o**4 + o**2 - 9*o**4 + 2*o**4 + 2*o**3 = 0?
-1, 0, 1, 2
Let c(g) = -3*g**3 - 58*g**2 + 111*g - 138. Let r(p) = -2*p**3 - 56*p**2 + 130*p - 138. Let w(b) = 3*c(b) - 4*r(b). Find i such that w(i) = 0.
1, 3, 46
Let x(g) be the third derivative of -2*g**7/105 - 7*g**6/30 - g**5 - 3*g**4/2 + 2*g**2 + 455. Suppose x(h) = 0. What is h?
-3, -1, 0
Let k(a) = -3*a**2 - 43*a - 44. Let y be k(-12). Suppose 0 = -2*p + 4 + 6. Let 138*g**4 - 20 - 148*g**4 + 15*g**2 + y*g - 30*g**3 + p*g**3 = 0. Calculate g.
-2, 1/2, 1
Suppose 39*t - 289 - 413 = 0. Solve -88*h**3 + 66*h**3 + 15*h - 7*h + 6*h**5 - t*h**2 + 5*h**4 - 3*h**4 + 8 = 0.
-1, 2/3, 2
Suppose -34*a**3 - 6*a**3 + 720*a + 90*a**2 - 40*a**4 + 390*a**2 + 5*a**5 = 0. Calculate a.
-2, 0, 6
Let v(m) be the second derivative of -m**5/4 + 55*m**4/12 - 25*m**3 + 12*m - 139. Determine k, given that v(k) = 0.
0, 5, 6
Suppose 0 = -25*f + 30*f - 135. Suppose -3*c - 6*d + 17 = -2*d, -4*d + 8 = 0. Factor 70*y**2 + 0*y - 15*y**c + f - 85*y + 3.
-5*(y - 3)*(y - 1)*(3*y - 2)
Let c(i) be the third derivative of -i**8/1008 - 19*i**7/315 + i**6/360 + 19*i**5/90 + 4118*i**2. Let c(s) = 0. What is s?
-38, -1, 0, 1
Let h = -909695/2 - -454848. Factor -8*d + 5*d**2 - h*d**3 + 0.
-d*(d - 8)*(d - 2)/2
Let x(j) = -8*j**2 - 22*j - 5*j**2 + 4 - 15 + 26*j + 59*j. Let r(y) = 6*y**2 - 31*y + 6. Let u(n) = 14*r(n) + 6*x(n). Factor u(l).
2*(l - 9)*(3*l - 1)
Let n = 17102 - 17099. Solve 1/5*i**n + 4/5*i**2 + 0 - 1/5*i**4 - 4/5*i = 0.
-2, 0, 1, 2
Let j(s) be the third derivative of -s**5/30 + 58*s**4/3 + 944*s**3/3 - 2*s**2 + 3601*s. Find v, given that j(v) = 0.
-4, 236
Let b = 510046 + -510046. Factor b - 1/11*p**4 + 0*p - 6/11*p**3 + 7/11*p**2.
-p**2*(p - 1)*(p + 7)/11
Let q be ((-56)/(-420)*(-5)/8)/((-4)/24). Solve -8*u - 4*u**3 - 10*u**2 + 0 - q*u**4 = 0.
-4, -2, 0
Let o(p) be the first derivative of p**4/8 + 62*p**3/3 - 911*p**2/4 + 393*p - 8413. Factor o(b).
(b - 6)*(b - 1)*(b + 131)/2
Suppose 4*b + 3 = -5*p, -20*b = -15*b + 5*p. Suppose -121 + 109 = -b*a. Factor -1/2*n**2 + 0*n + n**3 - 1/2*n**a + 0.
-n**2*(n - 1)**2/2
Let w(k) be the first derivative of -k**4/6 - 46*k**3/3 + 214*k**2/3 - 96*k - 1683. Let w(n) = 0. Calculate n.
-72, 1, 2
Let m(j) = 9*j**3 - 39*j**2 + 11*j - 86. Let u(k) = 5*k**3 - 20*k**2 + 6*k - 44. Let c(q) = -4*m(q) + 7*u(q). Let d be c(16). Factor -d*a**2 + 24/5*a - 4/5.
-4*(a - 1)*(5*a - 1)/5
Let v = -9235178/129 + 71591. Let l = -6/43 + v. Factor l*j**2 - 22/3*j + 121/3.
(j - 11)**2/3
Let a be (7 - -1) + 2/(-5*(-6)/(-120)). Suppose a - 3/8*r**2 - 27/8*r = 0. Calculate r.
-9, 0
Let c(q) be the first derivative of q**8/6720 + q**7/84