) be the second derivative of a**6/6 + 5*a**5/2 - 65*a**4/4 - 150*a**3 - 605*a. Let y(p) = 0. What is p?
-12, -3, 0, 5
Let b = -4933 - -4933. Let y(g) be the third derivative of 2/39*g**3 + b*g - 7/780*g**6 - 1/130*g**5 - 1/455*g**7 - 7*g**2 + 1/52*g**4 + 0. Factor y(m).
-2*(m + 1)**3*(3*m - 2)/13
Let j(v) be the first derivative of 9*v - 21 + 77/8*v**3 - 159/8*v**2. Factor j(t).
3*(7*t - 2)*(11*t - 12)/8
Let w be 2/31 + 179660/(-11284) + 16. Factor -18/7*z + w*z**2 + 81/7.
(z - 9)**2/7
Let a = 33 - 20. Suppose a = n + 5. Factor 38*t - 27*t**4 + 32*t**4 + 5*t**2 + 7*t**3 - 27*t**3 - n*t.
5*t*(t - 3)*(t - 2)*(t + 1)
Let z(k) = 275*k**3 + 87170*k**2 + 9389605*k + 336982665. Let o(y) = 137*y**3 + 43589*y**2 + 4694803*y + 168491333. Let l(u) = -5*o(u) + 2*z(u). Factor l(p).
-5*(3*p + 323)**3
Suppose 3*f - 7 = -7*n + 3*n, 4*f = -2*n + 16. Suppose 0 = 4*c - 5*r - 10 + 35, -f*c = -5*r + 25. Find w such that 2/9*w**3 + c*w + 8/9 - 2/3*w**2 = 0.
-1, 2
Let j(m) be the third derivative of -5*m**8/504 + 13*m**7/21 + m**6/225 - 26*m**5/75 - 5*m**2 - 181*m. Find p such that j(p) = 0.
-2/5, 0, 2/5, 39
Let b(a) be the second derivative of -a**7/4032 + a**6/320 - a**5/60 - 25*a**4/6 - a**2 + 2*a - 4. Let n(z) be the third derivative of b(z). Factor n(s).
-(s - 2)*(5*s - 8)/8
Suppose 2*v - 48 + 30 = 0. Factor -v*o**4 - 7*o**4 + 204*o**5 - 200*o**5.
4*o**4*(o - 4)
Let v be 46/(-6) + (-846)/(-94). Let s(d) be the first derivative of -30 - 2/9*d**3 - v*d**2 - 8/3*d. Factor s(a).
-2*(a + 2)**2/3
Suppose -4*o + 19 = 27. Let f be o/(-3)*3/(-2)*-2. Factor 40 - 6*p + p**3 + 5*p**3 - 3*p**f - 40 + 3*p**4.
3*p*(p - 1)*(p + 1)*(p + 2)
Let u(y) be the first derivative of y**4 + 24*y**3 - 288*y**2 - 5312. Factor u(w).
4*w*(w - 6)*(w + 24)
Let a = -59396 + 415816/7. Factor 8/7*y + a*y**3 + 0 + 52/7*y**2.
4*y*(y + 1)*(11*y + 2)/7
Suppose 3*f = 15, -2*h + 24 = 9*f - 5*f. Let a be 23/276 + (h + -1)/36. Suppose -5/9*o**3 + 0 + 0*o + 2/9*o**2 + 4/9*o**4 - a*o**5 = 0. Calculate o.
0, 1, 2
Suppose 0 = 6*g - 11*g - 55. Let m(l) = -2*l - 18. Let z be m(g). Let -3*w - w**5 - 13*w**3 - w + w**4 - 122*w**2 + 110*w**2 - 7*w**z = 0. What is w?
-2, -1, 0
Let w(b) be the first derivative of -b**5/300 - b**4/12 - 31*b**2/2 - 2*b - 70. Let z(m) be the second derivative of w(m). Suppose z(d) = 0. What is d?
-10, 0
Suppose 4*i + 2*g - 20 = 0, -642*g + 639*g + 30 = -5*i. Factor 1/5*z**5 - 7/5*z**3 + i*z - 2*z**2 + 0 + 4/5*z**4.
z**2*(z - 2)*(z + 1)*(z + 5)/5
Suppose -264/5*d**3 - 4/5*d**5 + 288/5*d**2 + 0 + 68/5*d**4 + 0*d = 0. Calculate d.
0, 2, 3, 12
Let b = 31 - 28. Suppose -5*s + 66 = m, -m = -b*s + s + 25. Determine a, given that 4*a**2 + 13*a**3 + s*a**4 - a**4 - 29*a**3 = 0.
0, 1/3, 1
Let f(a) = a**3 - 20*a**2 + 85*a - 4. Let w be f(6). Let v be 36/8 + -1 + 1/w. Suppose -2*q**v + 0 + 2*q**2 - 4/5*q**3 + 4/5*q = 0. Calculate q.
-1, -2/5, 0, 1
Let k(j) be the second derivative of -j**5/12 - 5*j**4/8 + 25*j**3/3 - 11*j**2 - 76*j. Let s(f) be the first derivative of k(f). Find h, given that s(h) = 0.
-5, 2
Determine n, given that -230*n**3 - 280*n**3 - 86*n**2 + n**4 - 212*n**2 - 215*n**3 + 578*n**3 = 0.
-2, 0, 149
Let f(q) be the first derivative of -3*q**5/10 - 29*q**4/12 - 2*q**3 + 33*q**2/2 + 42. Let v(a) be the second derivative of f(a). Factor v(t).
-2*(t + 3)*(9*t + 2)
Let l = 587/15 - 539/15. Let -l*s**4 - 72/5 - 204/5*s - 206/5*s**2 - 1/5*s**5 - 89/5*s**3 = 0. Calculate s.
-6, -2, -1
Let l(h) be the third derivative of -h**6/3 + 355*h**5/4 - 3715*h**4/8 + 655*h**3/3 - 3821*h**2. Factor l(u).
-5*(u - 131)*(u - 2)*(8*u - 1)
Let i(k) be the first derivative of -65/2*k**2 - 150*k + 5/3*k**3 + 212. What is w in i(w) = 0?
-2, 15
Solve -366*w**2 - 290*w**2 - 50*w**2 + 109*w**2 - 3*w**3 = 0 for w.
-199, 0
Let c(q) = 2*q**2 + 707*q - 9. Let m(b) = -3*b**2 - 1407*b + 15. Let w(v) = 5*c(v) + 3*m(v). Solve w(o) = 0.
0, 686
Let -444 + 436 + 3*r**2 - 246*r**3 - 6*r + 491*r**3 - 244*r**3 = 0. What is r?
-4, -1, 2
Let t(a) be the second derivative of -5*a**7/168 + 7*a**6/12 - 9*a**5/4 - 415*a**4/24 + 2425*a**3/24 + 375*a**2 - 12*a + 51. Find o, given that t(o) = 0.
-3, -1, 5, 8
Let m be (-180)/(-81) + (-2 - (-112)/63). Let o = 21 - 17. Let -4*a**3 - 8/3*a**m - 8/3*a**o + 0 - 2/3*a**5 - 2/3*a = 0. Calculate a.
-1, 0
Let b be 4795/75 + -2 - (-5)/(-15). Let o = b - 914/15. Factor 4/3*v**4 + 0 + 0*v**3 - o*v + 2/3*v**5 - 4/3*v**2.
2*v*(v - 1)*(v + 1)**3/3
Let z(i) be the second derivative of -i**4/4 + 20*i**3 - 525*i**2/2 + 2574*i. Factor z(t).
-3*(t - 35)*(t - 5)
Let w(f) be the second derivative of -f**6/75 + 291*f**5/200 - 5107*f**4/120 - 2257*f**3/20 - 1369*f**2/20 - 1166*f. Let w(i) = 0. Calculate i.
-1, -1/4, 37
What is r in 16*r**2 - 37 + 13*r**2 - 34*r**2 - 433 + 129*r - 374*r = 0?
-47, -2
Let r(d) be the first derivative of -d**6/42 + 36*d**5/35 - 129*d**4/28 + 26*d**3/21 + 96*d**2/7 - 4547. Find i, given that r(i) = 0.
-1, 0, 2, 3, 32
Let d(b) be the second derivative of -b**5/120 - 35*b**4/24 + 53*b**3/18 - b + 416. Factor d(x).
-x*(x - 1)*(x + 106)/6
Suppose -3*r**2 + 3594*r - 3589*r - 2*r**2 = 0. What is r?
0, 1
Let d(b) be the first derivative of 0*b - 20/21*b**3 + 4/35*b**5 - 81 + 2/7*b**4 - 12/7*b**2. Let d(y) = 0. Calculate y.
-3, -1, 0, 2
Solve 0 - 3/4*f**4 + 0*f**3 + 0*f + 27*f**2 = 0.
-6, 0, 6
Let i(x) be the third derivative of 3*x**6/40 + 10*x**5/3 - 631*x**4/24 - 25*x**3 - 5*x**2 - 27*x + 1. Factor i(b).
(b - 3)*(b + 25)*(9*b + 2)
What is q in -4/9*q**3 + 0 - 8*q - 10*q**2 + 14/9*q**4 = 0?
-12/7, -1, 0, 3
Let p(g) be the third derivative of 0*g + 0*g**3 + g**4 - 2/15*g**5 - 1/105*g**7 - 7/60*g**6 + 0 + 92*g**2. Find i such that p(i) = 0.
-6, -2, 0, 1
Let u(g) = g**3 + 2*g**2 + g + 1. Let h(s) = -4*s**3 - 8*s**2 + 176*s + 178. Let x(q) = -2*h(q) - 4*u(q). Determine c so that x(c) = 0.
-10, -1, 9
Let t be ((-8)/8)/(-1 - -1 - -1). Let f(l) = 2*l**2 - l - 1. Let c be f(t). Find q, given that -49/4 - 7/2*q - 1/4*q**c = 0.
-7
Let b be -7 + ((-731)/(-10))/1. Let f = b - 293/5. Factor -f*d - 3 - 9/2*d**2.
-3*(d + 1)*(3*d + 2)/2
Let y(g) = 8*g**2 - 10*g + 19. Let r be y(6). Determine f so that -246*f**4 + 8*f**2 + r*f**4 - 5*f**3 - 8*f**2 = 0.
0, 5
Solve 2/3*q**3 + 152/3*q**2 + 420 + 286*q = 0.
-70, -3
Let y = -510 + 512. Find u such that 42 - 51 + 0*u**3 - u**4 + 24*u - 22*u**y + 8*u**3 = 0.
1, 3
Let g(s) = 10*s**2 - 1684*s + 351274. Let t(f) = -f**2 + f - 19. Let o(u) = -g(u) - 8*t(u). Find n such that o(n) = 0.
419
Let d(x) be the third derivative of x**6/480 - 62*x**5/15 + 11677*x**2. Find z, given that d(z) = 0.
0, 992
Let r = -25 - -25. Suppose -4*g + 0*g + 400 = r. Solve -g - 6*f + 51*f + 4*f**3 + 36*f**2 + 15*f = 0.
-5, 1
Let h = -1271/57 + 9011/399. Factor -1/7*p**3 - h*p**2 + 0*p + 0.
-p**2*(p + 2)/7
Let p = -1033/494 - -3604/247. Find b, given that -15*b + 0 + 5/2*b**3 - p*b**2 = 0.
-1, 0, 6
Let o(w) = -2*w**3 + 13*w**2 - 10*w + 22. Let y be o(6). Let q be (-22)/(-88) + y/8. Factor q*x - 2/13 + 2/13*x**2.
2*(x - 1)*(x + 1)/13
Factor -57/2*j + 143/10 + 141/10*j**2 + 1/10*j**3.
(j - 1)**2*(j + 143)/10
Let p be -10*5439/(-25160) - (-4)/(64/(-12)). Factor -p*w**3 - 22/17*w**2 + 0*w - 2/17*w**4 + 0.
-2*w**2*(w + 1)*(w + 11)/17
Suppose 127*y + 146*y - 470 = 38*y. What is z in -15 + 3/2*z**y + 9/2*z = 0?
-5, 2
Let q(n) = 9*n**3 - 167*n**2 - 120*n + 5. Let c(b) = -b**3 + 2*b**2 - 1. Let a(i) = -5*c(i) - q(i). Factor a(g).
-g*(g - 40)*(4*g + 3)
Let p(v) = 25*v**2 + 19*v - 11*v + 92 + 8 + 12*v. Let u(s) = s**2 - s + 1. Suppose -205*k - 5 = -200*k. Let b(m) = k*p(m) + 20*u(m). Factor b(d).
-5*(d + 4)**2
Let l(w) be the first derivative of -5*w**6/12 - 333*w**5/10 - 129*w**4/2 + 130*w**3/3 + 4883. What is o in l(o) = 0?
-65, -2, 0, 2/5
Let j(u) be the second derivative of 0 + 1/8*u**4 + 5/2*u**2 + 0*u**3 - 1/20*u**5 + 1/160*u**6 + 11*u. Let h(b) be the first derivative of j(b). Factor h(z).
3*z*(z - 2)**2/4
Factor 0 - 1/7*v**3 + 60/7*v - 11/7*v**2.
-v*(v - 4)*(v + 15)/7
Let l(t) = -t**2 - 15*t - 50. Let o be l(-10). Suppose o = 3*m - 5*d - 21, -m + d - 4 = 3*d. What is h in -4*h**2 - h**m + 4*h + 3*h**2 + 0*h**2 = 0?
0, 2
Let b(m) be the second derivative of 2*m**7/105 - 2*m**6/5 + 27*m**5/25 + 103*m**4/15 + 8*m**3 + m + 131. Solve b(t) = 0.
-1, 0, 5, 12
Let d(r) be the first derivativ