 of p(w). Factor q(l).
l*(l + 1)*(l + 2)**2
Solve 6*b + 7/2*b**3 + 8*b**2 + 0 + 1/2*b**4 = 0 for b.
-3, -2, 0
Let x be (-14)/105*27 - 4/10*-1*10. Solve 2*r - x*r**2 + 28/5 = 0 for r.
-2, 7
Let v(c) = -5*c**2 + 70*c - 1219. Let p = 621 + -617. Let a(b) = 22*b**2 - 280*b + 4873. Let l(u) = p*a(u) + 18*v(u). Factor l(m).
-2*(m - 35)**2
Let z = -359/58 + 223/29. Factor 0 - 1/2*a**2 + z*a.
-a*(a - 3)/2
Let r(j) = 9*j**2 - 71*j + 353. Let v be r(6). Suppose 255*m = v*m. Factor 7/3*p**3 + m*p + 0 + 2/3*p**2.
p**2*(7*p + 2)/3
Let q(h) be the first derivative of 55/12*h**4 - 25/6*h**6 - h + 10*h**3 - 10*h**2 + 22 - 15/2*h**5. Let x(v) be the first derivative of q(v). Factor x(t).
-5*(t + 1)**2*(5*t - 2)**2
Let n(x) be the third derivative of -x**7/980 - x**6/315 + x**5/84 + x**4/42 - 2*x**3/3 - 26*x**2 - 2. Let o(z) be the first derivative of n(z). Factor o(u).
-2*(u - 1)*(u + 2)*(3*u + 1)/7
Factor -48*z**2 + 16/7 - 172/7*z**3 - 29/7*z**4 - 208/7*z.
-(z + 2)**3*(29*z - 2)/7
Factor 304*k + 2330*k - 2603762 + 182*k - 2*k**2 + 1748*k.
-2*(k - 1141)**2
Let u(q) be the third derivative of -q**6/210 - 73*q**5/105 + 40*q**4/3 + 22*q**2 - q + 5. Factor u(r).
-4*r*(r - 7)*(r + 80)/7
Let f(h) be the third derivative of 307*h**5/600 + 19*h**4/15 - h**3/20 - 8*h**2 - 21. Determine l so that f(l) = 0.
-1, 3/307
Let a(j) be the first derivative of -j**3/3 - 31*j**2 + 408*j - 1925. Factor a(u).
-(u - 6)*(u + 68)
Let i(h) be the second derivative of 1/18*h**4 + 0 - 32*h + 2*h**3 - 19/3*h**2. What is b in i(b) = 0?
-19, 1
Let i(y) be the first derivative of -3*y**5/10 + 21*y**4/8 + 23*y**3/2 - 765*y**2/4 + 675*y - 5735. Suppose i(l) = 0. Calculate l.
-6, 3, 5
Let u(t) be the first derivative of -16*t**4 - 10*t**2 - 26*t**3 + 7*t**4 + 7*t**4 - 21 + 4*t**4. Factor u(x).
2*x*(x - 10)*(4*x + 1)
Factor -8395303 + 17624*f - 3505673 - 7511860 - 4*f**2.
-4*(f - 2203)**2
Let l = 2355 - 2351. Suppose 0 = -26*x + 3*x. Factor -1/4*g + 0 + x*g**l + 0*g**2 + 1/2*g**3 - 1/4*g**5.
-g*(g - 1)**2*(g + 1)**2/4
Let d(f) be the second derivative of 0*f**6 + 0*f**2 - 1/35*f**5 + 1/21*f**3 + 1/147*f**7 + 6 + f + 0*f**4. Factor d(g).
2*g*(g - 1)**2*(g + 1)**2/7
Let g(v) = 75604*v + 2. Let w be g(0). Solve 60/19*d**w + 8/19 + 46/19*d - 18/19*d**3 = 0 for d.
-1/3, 4
Let u(b) = -b**3 + 32*b**2 - 31*b + 3. Let v be u(31). Factor 8*x + 20*x**3 - 3*x**4 + x**4 - 4 + 2 - 12*x**v - 12*x**2.
-2*(x - 1)**4
Let c(q) be the second derivative of -q**4/18 - 26*q**3/3 - 75*q**2 + 62*q - 39. Solve c(h) = 0.
-75, -3
Let g be (-3)/9*(0/36)/(-22). Factor g - 39*i**4 + 0*i**2 + 0*i + 3*i**3 + 507/4*i**5.
3*i**3*(13*i - 2)**2/4
Let f(i) = 41*i - 156. Let n be f(4). Factor -n*k + 45 + 4*k + 2*k - 3*k**2 - 4*k.
-3*(k - 3)*(k + 5)
Suppose -645 - 115 = -152*l. Let n(d) be the second derivative of 0*d**3 + 21*d + 0*d**2 + 0 + 5/6*d**4 - 1/4*d**l. Suppose n(v) = 0. What is v?
0, 2
Let s(h) be the second derivative of -15124197817*h**5/60 + 6115729*h**4/6 - 4946*h**3/3 + 4*h**2/3 - 2281*h - 1. Factor s(j).
-(2473*j - 2)**3/3
Let o = 544890 - 544887. Suppose -363 - 36*s**2 - 3/2*s**o - 495/2*s = 0. What is s?
-11, -2
Let l = 372 - 350. Let o be -7 + l + -17 + 68/6. Factor 0*p - o*p**3 - 98/3*p**2 + 0 - 2/3*p**4.
-2*p**2*(p + 7)**2/3
Factor 4*i**4 + 3*i - 3*i - 5270*i**3 + 5250*i**3 + 16*i**2.
4*i**2*(i - 4)*(i - 1)
Let n(y) be the first derivative of 0*y + 3/4*y**4 + 1/5*y**5 - y**2 - 1/3*y**3 - 10 - 1/6*y**6. Let n(z) = 0. What is z?
-1, 0, 1, 2
Solve -10/13*q**5 + 82/13*q**4 - 166/13*q**3 + 0*q + 0 + 30/13*q**2 = 0 for q.
0, 1/5, 3, 5
Let -268324/5*f + 0 - 53872*f**2 - 1037/5*f**3 - 1/5*f**4 = 0. Calculate f.
-518, -1, 0
Let n(b) = -306*b**2 + 449*b - 3297. Let x(m) = 131*m**2 - 225*m + 1648. Let j(r) = 3*n(r) + 7*x(r). Factor j(g).
-(g - 7)*(g + 235)
Let l(a) be the first derivative of a**6/27 + 934*a**5/15 + 27300*a**4 + 980000*a**3/27 + 4188. Factor l(x).
2*x**2*(x + 1)*(x + 700)**2/9
Let y(r) be the first derivative of -2*r**3/27 + 272*r**2/9 - 120*r - 6620. Find m, given that y(m) = 0.
2, 270
Let t be (16*-1 - -2)*((-296)/(-518))/(-4). Let 0*l + 2/9*l**3 + 0 + 2/9*l**4 + 0*l**t = 0. Calculate l.
-1, 0
Factor -48391 - 28885*w + 2485*w - 3620*w**2 + 5899 - 5*w**4 - 36952 + 7444 - 220*w**3.
-5*(w + 10)**2*(w + 12)**2
Let u(z) = -z**3 - 4*z**2 + 2*z - 13. Let w be u(-5). Let q**4 + 12*q + 1157*q**2 - 2*q**3 + 7 - 1168*q**w + 10 + 19 = 0. Calculate q.
-2, 3
Let l(p) be the second derivative of p**5/20 - 2*p**4 + 14*p**3 - 40*p**2 - 74*p + 5. Factor l(s).
(s - 20)*(s - 2)**2
Let m(r) be the first derivative of -r**6/24 + 5*r**5/12 - 5*r**4/8 - 15*r**3/2 - 11*r**2 - r + 177. Let c(x) be the second derivative of m(x). Factor c(g).
-5*(g - 3)**2*(g + 1)
Let w be (-2)/(-6)*(-113)/(2373/(-9)). Factor -w*g**2 + 30/7 - 1/7*g.
-(g - 5)*(g + 6)/7
Let n = -1204467/26 + 46339. Let f = 2/13 + n. Factor -2 - f*u**2 - 21/2*u.
-(3*u + 1)*(9*u + 4)/2
Let u(t) be the third derivative of t**5/105 + 38*t**4/21 - 272*t**2. Factor u(c).
4*c*(c + 76)/7
Let r(q) be the third derivative of -235*q**2 - 7/3*q**4 + 0 + 0*q - 1/15*q**5 - 22*q**3. Factor r(k).
-4*(k + 3)*(k + 11)
Let l(r) be the first derivative of -47/30*r**3 + 36*r - 38 - 7/100*r**5 + r**2 + 11/15*r**4. Let m(t) be the first derivative of l(t). Factor m(k).
-(k - 5)*(k - 1)*(7*k - 2)/5
Let b = -206 - -217. Suppose 0 = -4*x - b + 11. Factor x*u**3 + 0 + 3/4*u**4 - 3/2*u - 9/4*u**2.
3*u*(u - 2)*(u + 1)**2/4
Suppose 5*m + 5*t - 175 - 120 = 0, -15 = 3*t. What is u in -u + 26*u**2 - m - 47*u**2 + 20*u**2 - 15*u = 0?
-8
Let x = 78/1609 - -2516/14481. Suppose 0 - x*k**2 + 8/9*k = 0. What is k?
0, 4
Determine z so that -60*z**4 - 1200 - 8*z**3 - 59*z**4 - 70*z + 122*z**2 - 59*z**4 + 176*z**4 + 6*z**3 = 0.
-8, -3, 5
Let q be 671 + -3 + 2 + (2 - -1). Let o = q - 462. Determine l so that -112 - 108 + 15*l - 3*l**3 + o + 0*l**3 - 3*l**2 = 0.
-3, 1
Let u(y) be the first derivative of 2*y**3/63 - 7*y**2/3 + 28*y - 8038. Factor u(j).
2*(j - 42)*(j - 7)/21
Let v(o) be the second derivative of 111*o + 1/4*o**4 + 24*o**2 - 17/2*o**3 + 0. Factor v(i).
3*(i - 16)*(i - 1)
Let b(z) be the first derivative of -z**3/6 + 7*z**2/4 + 15*z - 2304. Solve b(j) = 0 for j.
-3, 10
Let x(u) be the second derivative of -u**4/48 + 35*u**3/12 + 71*u**2/8 + 81*u + 1. Find y, given that x(y) = 0.
-1, 71
Let g(d) = -d**3 + 3*d**2 + 4*d - 9. Let p be g(3). Solve 21 - 195*t - 3*t**p + t**2 + 198*t - 22*t**2 = 0.
-7, -1, 1
Suppose 715*t - 660*t**2 + 321*t**2 + 304*t**2 + 420 = 0. What is t?
-4/7, 21
Suppose -249 = -6*h - 15. Factor b**2 - 15*b**3 + 37 - 3*b - h + 18*b**3 + b**4.
(b - 1)*(b + 1)**2*(b + 2)
Let y(s) be the first derivative of -s**5/40 - s**4/6 + 19*s**3/12 - 7*s**2/2 - 191*s - 203. Let f(o) be the first derivative of y(o). Let f(p) = 0. What is p?
-7, 1, 2
Factor -6*f**4 + 0 + 1/2*f**5 - 10*f**2 - 75/2*f + 21*f**3.
f*(f - 5)**2*(f - 3)*(f + 1)/2
Determine m so that 70/13*m**2 - 8 - 112/13*m - 22/13*m**4 + 58/13*m**3 - 2/13*m**5 = 0.
-13, -1, 2
Suppose y = 2*d - y - 92, 4*d + 3*y = 163. Suppose 17*h**2 + 24 - d*h**2 + 10*h**2 + 12*h**2 + 4*h = 0. What is h?
-2, 3
Let p(z) be the first derivative of -27/5*z**5 - 7 + 23/3*z**3 + 0*z + 7/4*z**4 + 3*z**2 - 3/2*z**6. Determine o, given that p(o) = 0.
-3, -2/3, -1/3, 0, 1
Let o(z) be the third derivative of 1/10*z**4 - 1/150*z**5 - z + 62*z**2 + 0 - 3/5*z**3. Factor o(t).
-2*(t - 3)**2/5
Suppose 435*s - 101 = -204 + 103. Factor 2/7*z**4 + s - 10/7*z - 6/7*z**3 - 18/7*z**2.
2*z*(z - 5)*(z + 1)**2/7
Let g(o) be the second derivative of o**6/15 + 21*o**5/20 - 95*o**4/12 + 7*o**3 - 2*o + 319. Let g(p) = 0. Calculate p.
-14, 0, 1/2, 3
Suppose w + f + 3 - 6 = 0, w + 3 = f. Let v be 6 - 5 - (w + -1). Factor 4*r**5 + v*r**3 + 12*r - 10*r**2 - 18*r**3 + 8 + 0*r + 2*r**2.
4*(r - 2)*(r - 1)*(r + 1)**3
Suppose 3*o + 11*c - 20 = 6*c, -3*c = 6*o - 33. Let z(i) be the first derivative of 3*i**4 - o + 2*i**2 + 0*i - 4/5*i**5 - 4*i**3. Factor z(p).
-4*p*(p - 1)**3
Suppose -3*j = 7*w - 10*w + 45, 3*w = 5*j + 55. Let t be 12556/6935 - 16/w. Solve 2/19*s**5 + 14/19*s**4 - t*s**3 - 50/19 + 130/19*s - 92/19*s**2 = 0 for s.
-5, 1
Determine x, given that -27/7 + 3/7*x**3 + 15/7*x**2 + 9/7*x = 0.
-3, 1
Let d(h) be the second derivative of -h**7/5460 - h**6/390 - h**3/6 - 7*h**2/2 - 6