 be the second derivative of 1/66*u**4 - 2/11*u**2 + 1/33*u**3 + 0 - 233*u. Let i(h) = 0. What is h?
-2, 1
Let b be 574/24 - (-15246)/(-726). Let j(m) be the second derivative of 0 - 2*m + 5*m**2 - 25/6*m**3 - b*m**4. Factor j(a).
-5*(a + 1)*(7*a - 2)
Suppose 0 = 4*n - 5*x - 227, -2*n - n - 5*x = -144. Factor -69*r**2 + 94*r**3 - 52*r**3 - 52*r**3 + 6 - n*r.
-(r + 1)*(r + 6)*(10*r - 1)
Suppose 4*a + 12 = 7*a. Suppose g = a*s - 1431, 0 = s + 3*g - 0*g - 361. Factor -s*x + 15 + 14*x**2 + 298*x + 1.
2*(x - 4)*(7*x - 2)
Let d = 1136 - 1136. Let k(l) be the second derivative of d + 13*l + 1/15*l**5 + 0*l**3 + 1/45*l**6 + 0*l**2 + 0*l**4. Factor k(f).
2*f**3*(f + 2)/3
Let t = -3011 + 3015. Let v(z) be the first derivative of -1/9*z**3 + 4*z + 4/3*z**2 - 15 - 1/12*z**t. Factor v(k).
-(k - 3)*(k + 2)**2/3
Let t be 2592/576*(1 + (-8)/9). Determine r, given that 10*r + 6 + t*r**3 + 9/2*r**2 = 0.
-6, -2, -1
Let l(q) be the third derivative of q**9/3024 - q**8/336 - q**7/140 + 53*q**3/6 - 3*q**2 - 12*q. Let a(p) be the first derivative of l(p). Factor a(h).
h**3*(h - 6)*(h + 1)
Let b be -6 - 386/4*174/9. Let n = b - -1883. Factor -2/3*j**3 - n*j + 16/3 + 20/3*j**2.
-2*(j - 8)*(j - 1)**2/3
Let g(y) be the first derivative of 32/3*y**3 + 24*y - 109 + 26*y**2 + y**4. Factor g(n).
4*(n + 1)**2*(n + 6)
Factor -915*w + 17*w**2 - 213*w**2 - 73*w**2 + 88*w**2 + 3*w**3 + 325.
(w - 65)*(w + 5)*(3*w - 1)
Suppose t + 5*y = -27, 5*t = -2*y + 5*y - 219. Let q = t + 50. Factor 4*c**2 - 16 + 2*c**2 - 7*c**2 - q*c.
-(c + 4)**2
Solve -67*f**3 + f**4 + 243*f**3 - 305 - 131*f**3 - 636*f**2 + 2672*f - 3343 = 0 for f.
-57, 4
Let z(v) be the second derivative of -1/50*v**5 - 6/5*v**2 + 0*v**4 + 7/15*v**3 + 0 + 216*v. Find y such that z(y) = 0.
-3, 1, 2
Factor -375/4*m + 0 - 3/4*m**4 - 225/4*m**2 - 45/4*m**3.
-3*m*(m + 5)**3/4
Suppose 2*a = -5*y + 68, 0 = -5*y + 4*y. Suppose -38 - a = -24*r. Factor -1/5*t**5 - t**4 + 4/5*t**2 + 0 - 6/5*t**r + 8/5*t.
-t*(t - 1)*(t + 2)**3/5
Let g be 183*9/(-189) + 1 - (-16)/2. Let w = 471/7 - 67. Solve 2/7*y**2 + 0 - g*y**4 - w*y**3 + 2/7*y = 0 for y.
-1, 0, 1
Let z = -936 + 1460. Let h = z + -522. Determine d so that 0*d + 1/4*d**3 + 1/2*d**4 + 1/4*d**5 + 0 + 0*d**h = 0.
-1, 0
Let x(o) be the second derivative of -5*o**4/48 - 317*o**3/48 + 6*o**2 - 1024*o. Factor x(u).
-(u + 32)*(10*u - 3)/8
Let h(c) be the first derivative of -c**4 - 52*c**3/3 - 80*c**2 - 861. Solve h(y) = 0 for y.
-8, -5, 0
Suppose 19*l - 16*l = 3*d - 6, -5*d - 3*l + 18 = 0. Let h(y) be the second derivative of -21*y - 1/60*y**d + 0 + 1/10*y**2 - 1/120*y**4. Factor h(k).
-(k - 1)*(k + 2)/10
Let h(b) be the second derivative of -15/2*b**3 - 27*b**2 + b**4 + 3/20*b**5 - 8*b + 0. Suppose h(s) = 0. Calculate s.
-6, -1, 3
Let m(r) be the first derivative of -r**7/168 - r**6/36 - 4*r**3/3 - 10*r - 73. Let o(j) be the third derivative of m(j). Factor o(q).
-5*q**2*(q + 2)
Let j = 2479/15 + -813/5. Let t(g) be the first derivative of 8 - 8*g + j*g**3 - 9*g**4 + 18*g**2. Factor t(h).
-4*(h - 1)*(h + 1)*(9*h - 2)
Let s(i) be the first derivative of 3*i**4/16 - 52*i**3 + 1239*i**2/8 - 309*i/2 - 1702. Factor s(t).
3*(t - 206)*(t - 1)**2/4
Factor 922/3*g + 48*g**2 + 260 + 2/3*g**3.
2*(g + 1)*(g + 6)*(g + 65)/3
Let c be (-4 - 8/(-6))/((-1)/42). Let u be -4*(-7)/c*(2 - -10). Factor 1/6*x**4 + 0 - 1/6*x**2 + 0*x**u + 0*x.
x**2*(x - 1)*(x + 1)/6
Find z, given that -1/6*z**4 + 34 + 103/6*z**2 - 5/3*z**3 - 130/3*z = 0.
-17, 2, 3
Suppose -3822/5*g**2 + 4869228/5*g + 1/5*g**3 - 2067798824/5 = 0. What is g?
1274
Let c(o) be the first derivative of 3*o**4/4 - 2*o**3 - 27*o**2/2 + 54*o - 1514. Factor c(s).
3*(s - 3)*(s - 2)*(s + 3)
Let y be (860/(-430))/(6/(-9)). Find w, given that -15/2*w**3 + 0*w + 0 + 6*w**4 + y*w**2 - 3/2*w**5 = 0.
0, 1, 2
Let t(f) be the third derivative of f**8/336 + 26*f**7/105 - f**6/120 - 13*f**5/15 - 136*f**2 + 3*f. Factor t(u).
u**2*(u - 1)*(u + 1)*(u + 52)
Let k = 895489/119398 + -2/59699. Factor k + 1/2*i**2 + 4*i.
(i + 3)*(i + 5)/2
Let r(u) = u**2 - u + 2. Let q(i) = -293*i - 120*i**2 + 146 + 118*i**2 + 90*i**2 + 60 - 5*i**3. Let s(w) = -q(w) - 2*r(w). Factor s(m).
5*(m - 14)*(m - 3)*(m - 1)
Let n(w) be the second derivative of w**5/40 + 11*w**4/8 + 133*w**3/6 + 132*w**2 - 2*w + 4382. Factor n(g).
(g + 3)*(g + 8)*(g + 22)/2
Let a(z) be the third derivative of 14*z - 1/80*z**5 + 0 + 2*z**2 - 1/48*z**4 + 0*z**3 + 1/420*z**7 + 1/160*z**6. Factor a(l).
l*(l - 1)*(l + 2)*(2*l + 1)/4
Let n(c) be the first derivative of 110 - 16/9*c - 140/9*c**2 - 356/9*c**3 - 40/9*c**5 - 433/18*c**4. Solve n(o) = 0 for o.
-2, -1/4, -2/25
Let o = 70 + -29. Suppose -2*n + 51 - o = 0. What is w in 17*w**5 + 4*w**4 - 2*w**3 + 0*w**4 + n*w**5 - 20*w**5 - 4*w**2 = 0?
-2, -1, 0, 1
Let b = -147231 + 147235. Factor 0 + 0*o - 2/5*o**2 - 14/5*o**b + 2*o**3 + 6/5*o**5.
2*o**2*(o - 1)**2*(3*o - 1)/5
Suppose 1446*u + 696*u = 33053 + 18355. Factor -u - 3/8*x**2 + 6*x.
-3*(x - 8)**2/8
Suppose -595 = -25*t - 337*t + 121 + 8. Solve 0*a + 0 + 4/5*a**t = 0 for a.
0
Let b = -319886/5 - -63978. Suppose 18/5*g**2 + 0 + b*g - 8/5*g**4 + 6/5*g**3 = 0. Calculate g.
-1, -1/4, 0, 2
Let k be -5 - 208/(-40) - (108/(-10))/6. Let j(z) be the first derivative of 0*z - 20 - 1/9*z**3 + 3/2*z**k. Factor j(q).
-q*(q - 9)/3
Let v(y) = 5*y**3 - 33*y**2 + 189*y - 187. Let n(i) = 4*i**3 - 40*i**2 + 190*i - 186. Let t(u) = 6*n(u) - 4*v(u). Find h, given that t(h) = 0.
2, 23
Let j(y) be the first derivative of -y**6/2 - 3*y**5/5 + 21*y**4 + 16*y**3 - 288*y**2 + 3914. Solve j(o) = 0.
-4, 0, 3, 4
Let i(b) be the first derivative of 8/35*b**5 - 17 - 1/21*b**6 + 0*b + 4/21*b**3 - 5/14*b**4 + 0*b**2. Let i(a) = 0. What is a?
0, 1, 2
Let -4/7*a**3 + 0 + 0*a + 8/7*a**2 = 0. Calculate a.
0, 2
Let a(x) be the first derivative of 980*x + 5/3*x**3 - 72 + 70*x**2. Let a(m) = 0. What is m?
-14
Let r(h) be the third derivative of -7/72*h**4 + 2*h**2 - 1/30*h**5 - 55 - 1/18*h**3 + 0*h. Factor r(s).
-(s + 1)*(6*s + 1)/3
Suppose 0 = 2182*b - 2174*b - 40. Let z(x) be the third derivative of -1/18*x**4 + 1/360*x**6 + 0*x**3 + 0*x**b + 8*x**2 + 0 + 0*x. Factor z(o).
o*(o - 2)*(o + 2)/3
Find y such that -11/3*y**2 + 100*y - 96 - 1/3*y**3 = 0.
-24, 1, 12
Let n(u) be the third derivative of u**7/210 - 2*u**6/5 - 33*u**5/20 - 25*u**4/12 - 1596*u**2. Determine f, given that n(f) = 0.
-1, 0, 50
Let q = 188508 - 377007/2. Determine j so that 0 - 2*j**4 - q*j**3 + 1/2*j**2 + 3*j = 0.
-2, -1, 0, 3/4
Suppose 688/5*x**3 - 696/5*x**2 - 166/5*x**4 - 2/5*x**5 + 0 + 0*x = 0. Calculate x.
-87, 0, 2
Let f(c) be the first derivative of -2/35*c**5 + 111 - 40/7*c**2 - 22/7*c**3 - 32/7*c - 5/7*c**4. Let f(p) = 0. Calculate p.
-4, -1
Let y(x) = -2*x**3 - 6*x**2 - 3*x - 1. Let i be y(-4). Factor 336 - v**4 + 13*v**2 + 12*v**3 + 28*v - 345 - i*v**2.
-(v - 9)*(v - 1)**3
Let t(b) = -2*b**3 - 7*b**2 - b. Let h be t(0). Solve -4*x + 2/7*x**2 + h = 0 for x.
0, 14
Let y(l) be the third derivative of -5*l**7/168 - 11*l**6/48 - 47*l**5/80 - 11*l**4/24 - l**3/6 + 1141*l**2. Factor y(m).
-(m + 2)**2*(5*m + 1)**2/4
Factor 32/3 - 76/15*o - 2/15*o**2.
-2*(o - 2)*(o + 40)/15
Let g(l) = 100*l**3 - 1535*l**2 + 1770*l - 475. Let r(f) = -11*f**3 + 171*f**2 - 197*f + 53. Let a(v) = -4*g(v) - 35*r(v). Factor a(z).
-5*(z - 9)*(z - 1)*(3*z - 1)
Suppose 18 - 55 - 53 = -30*u. Let j(a) be the first derivative of 1/2*a**4 - 1/5*a**5 - a**2 + 2 + 0*a + 1/3*a**u. Let j(c) = 0. Calculate c.
-1, 0, 1, 2
Let y(v) be the second derivative of v**5/180 - v**3/2 - 44*v**2 - 12*v + 3. Let q(x) be the first derivative of y(x). Factor q(a).
(a - 3)*(a + 3)/3
Suppose 0 = -2*h + 4*c + 28, -2*h + h + 3*c = -21. Let g(t) be the second derivative of -16*t + h*t**2 - 1/5*t**3 + 3/100*t**5 + 1/20*t**4 + 0. Factor g(z).
3*z*(z - 1)*(z + 2)/5
Let 0*v - 3*v**2 + 0 + 27/2*v**3 + 5/6*v**5 + 22/3*v**4 = 0. What is v?
-6, -3, 0, 1/5
Let p(a) be the first derivative of -a**4/24 + 55*a**3/18 + 497*a**2/12 + 147*a/2 + 2921. Determine n so that p(n) = 0.
-7, -1, 63
Let s(h) be the second derivative of -1/12*h**5 + 0*h**4 - 40*h + 0 + 0*h**2 + 0*h**3. Let s(v) = 0. Calculate v.
0
Suppose 0 = v + j + 237, -4*v + 5*j - 1175 = v. Let h = v + 239. Let 1 - 1/2*u**h + 0*u**2 + 3/2*u = 0. Calculate u.
-1, 2
Let c be 19 + 891/(-27) + 2 