a) be the first derivative of 2*a**2 - 1/3*a**6 - 26 + 6/5*a**5 - n*a**3 + 0*a - 1/2*a**4. Find k such that j(k) = 0.
-1, 0, 1, 2
Let s(w) be the second derivative of -2/27*w**4 - 2 - 2/3*w**2 - 11/27*w**3 - 34*w. Factor s(k).
-2*(k + 2)*(4*k + 3)/9
Let h = -5966102/7 + 852301. Factor 0*p + 1/7*p**4 + 0 + h*p**3 + 0*p**2.
p**3*(p + 5)/7
Let z(c) be the second derivative of -c**5/4 + 65*c**4/6 - 400*c**3/3 + 720*c**2 + 2*c + 485. Factor z(s).
-5*(s - 18)*(s - 4)**2
Let o(b) be the first derivative of -b**6/2 - 27*b**5 + 36*b**4 + 92*b**3 + 9469. What is i in o(i) = 0?
-46, -1, 0, 2
Factor 8*n**2 - 2299*n - 288 + 4329*n - 2314*n + 4*n**3.
4*(n - 8)*(n + 1)*(n + 9)
Let t(c) be the third derivative of 1/3*c**4 + 0*c + 1/5*c**5 + 0*c**3 - 40 + c**2 + 0*c**6 - 2/105*c**7. Factor t(a).
-4*a*(a - 2)*(a + 1)**2
Suppose 329680/7*f**2 + 831744/7 - 4/7*f**5 + 660/7*f**4 - 31200/7*f**3 - 1130880/7*f = 0. Calculate f.
1, 6, 76
Factor 42*l**3 - 15*l**4 + 20*l**5 - 32*l**3 - 17*l**5 + 14*l**3 - 12*l**2.
3*l**2*(l - 2)**2*(l - 1)
Let h be (1 - -9)/((-55)/(-7)). Factor 28/11*u + 2/11*u**3 - 16/11 - h*u**2.
2*(u - 4)*(u - 2)*(u - 1)/11
Suppose 6*s - 595 - 35 = 0. Let a = s + -101. Factor -1/3*n**5 - n**3 + 0*n + 4/3*n**a + 0 + 0*n**2.
-n**3*(n - 3)*(n - 1)/3
Let u(c) be the second derivative of c**6/120 - 3*c**5/8 + 19*c**4/16 + 361*c**3/3 + 16*c + 51. Suppose u(k) = 0. Calculate k.
-8, 0, 19
Let c(g) = -g**2 - 7*g + 12. Suppose -96 = 11*u + u. Let n be c(u). Solve 10*y**2 - 4185*y - 5*y**n + 5*y**3 + 4185*y = 0.
-1, 0, 2
Let y(x) be the first derivative of 9*x**4/16 - 59*x**3/12 + 31*x**2/2 - 21*x - 231. Determine i so that y(i) = 0.
14/9, 2, 3
Let 636*g**3 - 589*g**4 + 3652*g**2 + 19872*g + 593*g**4 - 420*g**3 + 33856 = 0. What is g?
-23, -4
Let i(u) be the first derivative of -1/15*u**3 - 21/5*u**2 - 59 - 441/5*u. Suppose i(x) = 0. What is x?
-21
Let z(m) be the third derivative of -2/45*m**3 + 1/900*m**6 + 0*m - 57 - m**2 - 2/225*m**5 + 1/36*m**4. Solve z(u) = 0 for u.
1, 2
Let o be ((-1)/3)/((-97)/5238). Let i be (30/o)/(10/4). Let -i*h**2 + 0*h + 0 = 0. Calculate h.
0
Let g(u) = u**2 - 6*u. Let y be g(-1). Factor -x**3 - y*x**5 + 15*x**5 - 6*x**5 + 3*x**3 + 4*x**3 - 8*x**4.
2*x**3*(x - 3)*(x - 1)
Factor -1/2*m**4 + 0*m - 9/2*m**3 + 18*m**2 + 0.
-m**2*(m - 3)*(m + 12)/2
Let b = 395/16812 - -2/467. Let z(l) be the third derivative of 1/90*l**5 - 1/48*l**4 - b*l**3 + 0*l + 0 - 8*l**2. Factor z(g).
(g - 1)*(4*g + 1)/6
Determine l so that 16*l**3 + 17*l**2 + 7*l**4 + 1045189*l - 1045183*l + l**5 + l**3 = 0.
-3, -2, -1, 0
Let f(b) be the second derivative of 2*b + 1/10*b**6 + 0*b**2 - 9/20*b**5 - 1/2*b**3 + 3/4*b**4 - 2. Factor f(s).
3*s*(s - 1)**3
Let i(k) be the second derivative of 23*k**5/90 - 95*k**4/54 + 3*k**3 - k**2 + 37*k - 24. Factor i(r).
2*(r - 3)*(r - 1)*(23*r - 3)/9
Let v(s) = 5*s**3 - 2*s**2 - 32*s - 1. Let n(d) = 6*d**3 - 3*d**2 - 37*d - 2. Let o(l) = 6*n(l) - 7*v(l). Let k be o(4). Factor k*w + 3/2*w**2 + 1/4*w**3 + 2.
(w + 2)**3/4
Let m(c) be the second derivative of c**4/14 - 1366*c**3/7 + 1399467*c**2/7 - c - 2693. Let m(p) = 0. What is p?
683
Let b(k) be the third derivative of -k - 93*k**2 - 1/4*k**6 - 4/15*k**5 - 1/168*k**8 + 0 + 0*k**3 + 8/105*k**7 + 4/3*k**4. Determine y, given that b(y) = 0.
-1, 0, 1, 4
Let p(m) = 7*m**2 - 2*m + 3. Let i(j) = 3*j**2 + 11*j + 11. Let y be i(-4). Let g(v) = 27*v**2 - 6*v + 12. Let o(b) = y*p(b) - 4*g(b). Factor o(z).
-3*(z + 1)**2
Let j be (-1)/((-195)/156*2/3540). Let b = j + -1414. Factor -162/7 - 36/7*u - 2/7*u**b.
-2*(u + 9)**2/7
Suppose 262*w**2 + 7*w**3 + 0*w**4 - 14*w**4 - 2000*w - 3*w**5 + 97*w**3 + 26*w**3 + w**5 + 2200 = 0. Calculate w.
-11, -5, 2, 5
Let x(c) = 5*c**2 - 5*c - 4. Let d be x(4). Let m be d/315 + (-24)/(-108). Factor -2/5*n + 4/5*n**2 - 4/5 + m*n**3.
2*(n - 1)*(n + 1)*(n + 2)/5
Let x = -218577/10 - -43721/2. Let 36/5*g - x*g**2 - 14/5*g**3 + 6/5*g**4 - 16/5 + 2/5*g**5 = 0. What is g?
-4, -2, 1
Suppose q - 5*q + 3 = -3*q. Let f(d) be the second derivative of 1/60*d**6 - 15*d + 0*d**2 - 1/20*d**5 - 1/24*d**4 + 0 + 1/6*d**q. Find s such that f(s) = 0.
-1, 0, 1, 2
Let j(o) = o**3 + 7*o**2 + 6*o - 4. Let y be j(-6). Let q be 1/y*76/(-95). Factor 0*c**3 - 2/5*c**2 + q + 0*c + 1/5*c**4.
(c - 1)**2*(c + 1)**2/5
Factor 296/11*d - 10952/11 - 2/11*d**2.
-2*(d - 74)**2/11
Suppose 6*o + 24 = 2*o - 4*q, -2*o - 4*q - 18 = 0. Let c be (-9 - -12 - o*1)/2. Factor s + 8 + 0 + s**2 - 7 - c.
(s - 1)*(s + 2)
Let q(u) be the first derivative of 10*u + 46 - 1/2*u**4 + 9*u**2 + 2*u**3. Factor q(l).
-2*(l - 5)*(l + 1)**2
Let f be -4 + 7*(-60)/(-42). Suppose 2*y - 10*y - 3*y**2 - 4*y**3 + 0*y**2 - 3*y**2 - f*y**2 = 0. Calculate y.
-2, -1, 0
Let m(x) = 4*x**2 + 1080*x + 7366. Let v be m(-263). Factor 0*d**v + 0*d + 0*d**3 + 0 - 141/2*d**4 + 3/2*d**5.
3*d**4*(d - 47)/2
Let c be (14/3 - 10/(-30)) + -3. Find t, given that 16*t**c + 67*t**3 - 16*t**2 - 72*t**3 + 30*t**2 = 0.
0, 6
Factor -5766/5 + 11656/5*o - 2/15*o**4 - 18044/15*o**2 + 376/15*o**3.
-2*(o - 93)**2*(o - 1)**2/15
Let c(f) be the second derivative of -7*f**5/20 - f**4/4 + 2*f**3/3 + f**2 - 14*f. Let z(n) = 2*n**3 - n**2 - n - 1. Let t(q) = c(q) + 2*z(q). Factor t(h).
-h*(h + 2)*(3*h - 1)
Let s = -757 - -759. Factor 11*c + 8*c - 212 - c**s - 25*c + 212.
-c*(c + 6)
Find b, given that 28*b**3 + 4*b**5 + 22*b**4 + 4*b**3 - 36*b + 2*b**4 - 17*b**2 - 7*b**2 = 0.
-3, -1, 0, 1
Let i(p) = -p**2 - 1179*p - 44458. Let g be i(-39). Let 32*y**g + 32768/3 - 1/3*y**3 - 1024*y = 0. What is y?
32
Let k(s) = -40*s**2 + 18*s - 7. Let j be k(6). Let l = 1341 + j. Factor -70/9*z**l - 2/9 + 22/9*z + 50/9*z**3.
2*(z - 1)*(5*z - 1)**2/9
Find n, given that -89/4*n**2 + 69/4*n + 19/4*n**3 + 0 + 1/4*n**4 = 0.
-23, 0, 1, 3
Let w be -142*(6/8)/(3/2). Let j = -60 - w. Find l, given that -j*l + 17*l - l**2 - 5*l = 0.
0, 1
Let -24/11*c**4 - 284/11*c**3 + 2/11*c**5 - 304/11 + 282/11*c + 328/11*c**2 = 0. What is c?
-8, -1, 1, 19
Let l(w) be the third derivative of w**6/24 - w**5 + 20*w**4/3 + 2*w**2 + 3*w - 434. Solve l(r) = 0.
0, 4, 8
Factor 1312/5 + 132/5*n - 4/5*n**2.
-4*(n - 41)*(n + 8)/5
Let o(i) be the second derivative of 5/2*i**3 - 5/48*i**4 + 0 + 1/120*i**5 - 9*i - 1/3600*i**6 + 0*i**2. Let x(w) be the second derivative of o(w). Factor x(t).
-(t - 5)**2/10
Solve -592/19*c + 0 - 4/19*c**3 - 1186/19*c**2 = 0.
-296, -1/2, 0
Suppose -o + 3 = 4*t, 2*t - 3 - 9 = -4*o. Let w(z) be the first derivative of -1/6*z**2 + 2/9*z**3 - 1/12*z**4 + t*z - 16. Factor w(a).
-a*(a - 1)**2/3
Let x(k) be the first derivative of -3*k**4/4 - 23*k**3 - 144*k**2 - 324*k - 1238. Factor x(b).
-3*(b + 2)*(b + 3)*(b + 18)
Suppose -3*h - 1369 = p, -891 = 3*h - h + 5*p. Let c = h + 460. Factor -2/11*k**c - 6/11 + 8/11*k.
-2*(k - 3)*(k - 1)/11
Let h = 1318 - 1287. Let k be (h/((-248)/48))/(-14). Let -9/7*t + k*t**2 + 0 = 0. What is t?
0, 3
Let q(u) be the third derivative of 5*u**8/336 + 1013*u**7/14 + 1026169*u**6/8 + 1039509197*u**5/12 - 1574*u**2. Factor q(f).
5*f**2*(f + 1013)**3
Let m(z) be the third derivative of 8/3*z**3 - 14*z**2 + 0*z - 5/4*z**4 + 0 + 1/72*z**6 - 5/24*z**5. Let f(t) be the first derivative of m(t). Factor f(h).
5*(h - 6)*(h + 1)
Let t(w) = 2*w**3 - 33*w**2 + 31*w + 2. Let y be t(1). Let v(b) be the first derivative of 1/8*b**4 - 29 + 0*b + 0*b**y + 2/3*b**3. Factor v(z).
z**2*(z + 4)/2
Let w(s) be the first derivative of -s**5/5 - 8*s**4/3 - 10*s**3/3 + 28*s**2 - 165*s - 153. Let g(t) be the first derivative of w(t). Solve g(c) = 0 for c.
-7, -2, 1
Let w(b) be the third derivative of b**5/330 + 535*b**4/66 + 286225*b**3/33 - 2381*b**2. Factor w(t).
2*(t + 535)**2/11
Let v(a) be the first derivative of 8*a**4 + 7 - 2/3*a**6 + 16*a - 14*a**2 - 8/5*a**5 - 8/3*a**3. Factor v(y).
-4*(y - 1)**3*(y + 1)*(y + 4)
Let 137*d**4 - 87*d**4 + 12*d - 72*d - 20*d**2 - 45*d**4 + 15*d**3 = 0. Calculate d.
-3, -2, 0, 2
Let w(a) be the third derivative of -a**6/40 + 11*a**5/20 - 35*a**4/8 + 25*a**3/2 + a**2 - 512. Find c such that w(c) = 0.
1, 5
Let v = 12854 + -12830. Let u(t) be the second derivative of -5/6*t**4 + 0 - 1/15*t**6 + 0*t**2 - 2/3*t**3 - 2/5*t**5 - v*t. Factor u(g).
-2*g*(g + 1)**2*(g + 2)
Let -1337700*x**3 + 267759375000 + 186322500*x**2 + 7203/2*x**4 - 11534250000*x = 0. What is x