8*x**3 + 47380*x**2 + 301420*x + 460800. Let k(l) = l**4 - l**2 + 10*l. Let b(f) = -4*k(f) - 2*y(f). Suppose b(m) = 0. Calculate m.
-3, 160
Let c = 1213786/5 + -242757. Solve 8/5*l + l**2 + 4/5 + c*l**3 = 0 for l.
-2, -1
Let u(z) be the second derivative of z**7/280 - 7*z**6/720 - z**5/60 - 113*z**4/12 + z - 1. Let g(f) be the third derivative of u(f). Factor g(r).
(r - 1)*(9*r + 2)
Let q = 931402/5 + -186274. Solve 2/5*p**2 - 6*p - q = 0 for p.
-1, 16
Suppose -10*d = 9*d - 115425. Solve -465*b**2 + 936*b**2 + d - 270*b - 468*b**2 = 0 for b.
45
Let r be (105/(-12)*2*63/(-588))/((-2)/(-8)). Factor 3/2*o**3 - 9/2 - r*o - 3/2*o**2.
3*(o - 3)*(o + 1)**2/2
Let b(z) be the second derivative of -z**6/105 + 23*z**5/35 - 124*z**4/21 + 320*z**3/21 + 2*z - 1178. Find k, given that b(k) = 0.
0, 2, 4, 40
Let t(q) be the second derivative of -13/30*q**5 + 0*q**2 - 1/3*q**4 + 18*q - 1/63*q**7 + 0 - 8/45*q**6 + 0*q**3. Suppose t(l) = 0. What is l?
-6, -1, 0
Let m(b) be the third derivative of 5*b**2 + 0 - 1/60*b**6 + 0*b + 4/3*b**3 - 3/4*b**4 + 1/5*b**5. Solve m(t) = 0.
1, 4
Let l(k) be the second derivative of k**6/6 - 21*k**5 + 2200*k**4/3 + 280*k**3 - 17640*k**2 - 1929*k. Factor l(x).
5*(x - 42)**2*(x - 2)*(x + 2)
Let -1/4*a**2 + 0 - 1129/4*a = 0. What is a?
-1129, 0
Let k(g) be the first derivative of -g**3/3 - 75*g**2/2 + 76*g - 853. Factor k(n).
-(n - 1)*(n + 76)
Suppose -3*f - 33 = -6*f - r, 12 = -4*r. Factor f*v**3 - 40 - 9*v**3 + 128*v**2 - 119*v - 15*v**3 + 43*v.
-4*(v - 10)*(v - 1)*(3*v + 1)
Let w(y) be the second derivative of 455/6*y**3 - 3/4*y**5 + 29 + 4*y - 325/12*y**4 - 115/2*y**2. Factor w(k).
-5*(k - 1)*(k + 23)*(3*k - 1)
Let a be 40/(-72)*(-1620)/300. Let z(b) be the second derivative of 5/21*b**a + 4/7*b**2 + 0 + 3*b + 1/42*b**4. Determine h so that z(h) = 0.
-4, -1
Let q = 876 - 872. Suppose -3*a + 6 = 10*k - q*k, -2 = -a. Factor 0*j**2 + k + 2/19*j**3 + 0*j.
2*j**3/19
Suppose -4*p = -2*x - 3018, 2713 = 4*p + 2*x - 285. Let t = p + -750. Factor 2/5*w**t + 0 - 3/5*w**3 + 1/5*w**4 + 0*w.
w**2*(w - 2)*(w - 1)/5
Let i be (-13761)/(-5004)*(-8)/(-3). Factor -1/6*c**4 + i*c - 5*c**2 - 4 + 3/2*c**3.
-(c - 3)*(c - 2)**3/6
Suppose 1407*n**4 + 21*n - 706*n**4 - 24 - 21*n**3 - 704*n**4 + 24*n**2 + 3*n**2 = 0. Calculate n.
-8, -1, 1
Suppose -5*p - h = -216 + 215, 0 = -3*h + 3. Let a(c) be the third derivative of 0*c + 9*c**2 - 1/5*c**3 + 3/40*c**4 - 1/100*c**5 + p. Let a(l) = 0. What is l?
1, 2
Let v(r) be the first derivative of 0*r + 4/15*r**5 - 1/9*r**6 - 4/9*r**3 + 0*r**2 + 1/6*r**4 + 9. Solve v(p) = 0 for p.
-1, 0, 1, 2
Let y = 1403/1073 - 42/37. Let d = y + 67/116. Determine b, given that d + 1/4*b**2 + b = 0.
-3, -1
Let r(t) = 9*t**4 + 378*t**3 - 1148*t**2 + 1142*t - 385. Let v(n) = n**4 + 2*n**3 - 2*n**2 - 2*n. Let m(a) = r(a) - 4*v(a). Factor m(g).
5*(g - 1)**3*(g + 77)
Let m(t) be the first derivative of -30/7*t**2 - 18/7*t**3 - 13 - 3/35*t**5 - 24/7*t - 3/4*t**4. Solve m(c) = 0.
-2, -1
Suppose 233*r = 228*r + 50. Let o = 76 + r. Factor 87*x - 165*x - 32 + o*x + 4*x**2.
4*(x - 2)*(x + 4)
Solve -88/5*y**2 + 162/5*y + 2/5*y**3 + 252/5 = 0 for y.
-1, 3, 42
Let z(x) be the first derivative of x**6/3 - 412*x**5/15 - 281*x**4/6 + 136*x**3/9 + 140*x**2/3 - 1826. What is d in z(d) = 0?
-1, 0, 2/3, 70
Suppose -3*k = 4*d + 2*k - 28, -3*d - 6 = -3*k. Let x be (21 - 9)*4*(-10)/(-16). Suppose 55*q + 2*q**d - x*q - 8 - 25*q = 0. What is q?
-2, 2
Let l(j) be the first derivative of j**4/24 - 365*j**3/18 + 11041*j**2/4 + 11163*j/2 - 4165. Factor l(z).
(z - 183)**2*(z + 1)/6
Let g be ((-8)/64)/(52/(-2080)). Let a(b) be the third derivative of -13/90*b**g - 31 - 1/8*b**4 + b**2 + 2/315*b**7 - 1/40*b**6 + 2/9*b**3 + 0*b. Factor a(k).
(k - 4)*(k + 1)**2*(4*k - 1)/3
Let i be 2/(-6) + (-25)/(-3). Suppose 0 = -4*f - i, -2*v + 5*f - 9 + 27 = 0. Factor -2 + 5 + 2*u**2 + v - 5 - 4*u.
2*(u - 1)**2
Suppose -5*k = -k - 164. Let f = k + -38. What is s in 14*s**3 - 31*s**3 - 8 + 6*s**2 + 19*s**f = 0?
-2, 1
Let z = -1307310 + 1307312. Factor -608/5*x - 722/5 - 128/5*x**z.
-2*(8*x + 19)**2/5
Let u be (4 - (11 - 1))/((-2)/8). Let o = 63 - u. Factor -452*m + 420*m + 4*m**2 + 25 + o.
4*(m - 4)**2
Determine i so that 0 - 264/13*i**2 - 14/13*i**3 + 36/13*i**4 + 2/13*i**5 - 216/13*i = 0.
-18, -2, -1, 0, 3
Determine w, given that 2/13*w**5 + 0 + 2/13*w**4 + 400/13*w**2 + 0*w - 140/13*w**3 = 0.
-10, 0, 4, 5
Let n(c) be the second derivative of 3*c**5/20 + 8*c**4 - c**3/2 - 48*c**2 - 7101*c. Find v, given that n(v) = 0.
-32, -1, 1
Suppose -473*m = -30*m - 52127 + 51241. Suppose 10/3*l - 16/9 + 4/3*l**4 + 2/9*l**5 - 32/9*l**3 + 4/9*l**m = 0. What is l?
-8, -1, 1
Let n(o) be the first derivative of -4*o**5/5 - 5*o**4 + 32*o**3/3 + 24*o**2 + 786. Factor n(j).
-4*j*(j - 2)*(j + 1)*(j + 6)
Let q(t) be the third derivative of t**5/120 + 551*t**4/12 + 303601*t**3/3 - 459*t**2 + 5. Factor q(w).
(w + 1102)**2/2
Let t = -436 + 452. Let f be 12/t + (-75)/(-20). Factor f*s + 1/2*s**3 + 2 + 3*s**2.
(s + 1)**2*(s + 4)/2
Suppose 4*u + 3*l = -524, -4*u + 94*l - 99*l - 532 = 0. Let a = u + 131. Let -8/7*z**a + 4/7*z**5 + 48/7*z**2 - 32/7*z + 0 - 12/7*z**4 = 0. Calculate z.
-2, 0, 1, 2
Suppose -5*b + n + 1126 = -220, -2*b = 4*n - 556. Let 36*c**3 - 134*c**4 + 210*c**2 + 19*c**3 + 104 + b*c**4 - 131*c**4 + 320*c + 56 = 0. What is c?
-4, -2, -1
Let f(s) be the second derivative of 3/8*s**2 - 20*s - 2/3*s**3 + 17/48*s**4 + 0 - 1/20*s**5. Find m, given that f(m) = 0.
1/4, 1, 3
Let j be (-4)/18*(12141/133)/(-71). Factor -j*q**4 + 0 - 6/7*q + 2/7*q**2 + 6/7*q**3.
-2*q*(q - 3)*(q - 1)*(q + 1)/7
Let z(u) be the third derivative of -u**8/1008 + 2*u**7/315 - u**6/120 - u**5/45 + u**4/18 + 722*u**2 - u. Determine s, given that z(s) = 0.
-1, 0, 1, 2
Let i be (-1)/(0 - 3)*-10. Let b = -2 - i. Determine n so that 4/3*n**2 - 8 + b*n = 0.
-3, 2
Suppose 0 + 363/7*d**4 + 14400/7*d**2 + 39699/7*d**3 + 1308/7*d = 0. What is d?
-109, -2/11, 0
Suppose 21 = -0*z + 3*z. Let v be -3*(-1 + 2)/(-1). Let -4*i + 7*i - 5*i + 10*i**2 + 5*i**v + z*i = 0. What is i?
-1, 0
Let g = -68 + 74. Let p(s) = 3*s - 16. Let r be p(g). Factor -36*v + 82*v**2 - 117*v**3 - 72*v**4 + 38*v**r + 99*v**4.
3*v*(v - 3)*(3*v - 2)**2
Find q, given that 1/2*q**5 - 2304 - 2092*q**2 - 4512*q + 273/2*q**3 + 21*q**4 = 0.
-24, -1, 8
Let x(u) = 2*u - 9. Let y(c) = c**2 - 356*c + 32734. Let a(v) = -15*x(v) + 5*y(v). Suppose a(f) = 0. What is f?
181
Factor 220*b**3 + 255*b + 11*b**5 - 70 - 448*b**4 + 388*b**4 - 350*b**2 - 6*b**5.
5*(b - 7)*(b - 2)*(b - 1)**3
Suppose -11*d - 49 = 39. Let p be (-7)/(476/d) - 387/(-612). Determine j, given that -1/4 - p*j - 1/2*j**2 = 0.
-1, -1/2
Let f(x) be the first derivative of x**2/2 + 21*x + 50. Let j be f(-21). Suppose 0*d + 0 + j*d**3 + 3/2*d**4 + 0*d**2 = 0. What is d?
0
Let 48/5*w**3 + 176*w - 2/5*w**4 + 0 - 366/5*w**2 = 0. Calculate w.
0, 5, 8, 11
Let a be 21 + -11 + -13 - 5/(-1). Let v(y) be the third derivative of 0*y + 0 + 1/20*y**5 + 5/4*y**4 - 2*y**a + 0*y**3. Factor v(g).
3*g*(g + 10)
Suppose -9111 = 62*z - 9297. Solve 94/7*l**2 + 32/7 - 116/7*l - 10/7*l**z = 0 for l.
2/5, 1, 8
Let b(m) be the first derivative of 1/45*m**6 + 0*m**5 + 0*m**3 - 79 - 1/15*m**4 + 1/15*m**2 + 0*m. Factor b(p).
2*p*(p - 1)**2*(p + 1)**2/15
Suppose 2/15*s**3 + 0 + 56/15*s - 58/15*s**2 = 0. Calculate s.
0, 1, 28
Let u(o) be the second derivative of -o**6/540 + 7*o**4/108 - 2*o**3/9 + 36*o**2 - 148*o. Let b(m) be the first derivative of u(m). Factor b(n).
-2*(n - 2)*(n - 1)*(n + 3)/9
Let g = -30 + 32. Let o be 7 + (-1 - g) + 2. Find f such that 8*f**4 + o*f**5 - 7*f**5 + 5*f**5 = 0.
-2, 0
Let m be -1 - 1 - 94145/285. Let c = m + 333. Factor -2/3*g**2 + 0 - c*g.
-2*g*(g + 1)/3
Let r = 4803/14 + -23987/70. Suppose 336/5*p + r*p**3 + 392/5 - 54/5*p**2 = 0. What is p?
-1, 14
Let k be 24 + -3 - (-24100)/(-1300). Factor k*r**2 - 14/13*r**3 - 22/13*r + 4/13.
-2*(r - 1)**2*(7*r - 2)/13
Let r(y) be the first derivative of -40*y**2 + 0*y + 10*y**3 + 51 + 5/4*y**4. Factor r(z).
5*z*(z - 2)*(z + 8)
Let d be ((-12)/(-5))/(((-162)/45)/(-6)). Let j(y) be the second derivative of -2*y + 1/15*y**3 + 0 - 2/5*y**2 + 1/30*y**d. Factor j(w).
2*(w - 1)*(w + 2)/5
Let h(t) be the first derivative of -4*t**3 + 4*t**2 - 2/5*t**5 - 192 - 5/2*t**4 + 16*t. Suppos