n) = -n**3 + 38*n**2 - 231*n. Let c(a) = 40*a**2 - 236*a. Let x(b) = -5*c(b) + 4*t(b). Solve x(k) = 0 for k.
-16, 0, 4
Let p be 585/1365 + 10/(-105). Factor -p*b**2 - 4 + 13/3*b.
-(b - 12)*(b - 1)/3
Let w(t) be the third derivative of 1/840*t**7 + 141*t**2 + 27/32*t**4 + 0*t + 0*t**3 + 19/480*t**6 + 33/80*t**5 + 0. Factor w(g).
g*(g + 1)*(g + 9)**2/4
Factor 52*p**3 + 43*p**5 + 35*p**5 - 77*p**5 - 14*p**4 - 3*p**2 - 288*p + 27*p**2.
p*(p - 6)**2*(p - 4)*(p + 2)
Let l be 24/5*((-12)/(-6) + 3). Factor 30*c - 118*c + 4*c**2 - l*c.
4*c*(c - 28)
Let r(b) be the first derivative of 5*b**6/6 - 16*b**5 + 205*b**4/4 - 130*b**3/3 + 3959. Determine q so that r(q) = 0.
0, 1, 2, 13
Let h(t) be the second derivative of t**5/120 - 791*t**4/72 + 156815*t**3/36 - 156025*t**2/12 + 7371*t. Suppose h(q) = 0. What is q?
1, 395
Let v be -28*(2/(-8))/(1/5). Suppose -v = -b - 33. Factor b*u - 2*u + 5*u**2 + 2 - 22.
5*(u - 2)*(u + 2)
Let w(j) = -2*j**3 + 600*j**2 - 42579*j - 228010. Let p(t) = -4*t**3 + 1202*t**2 - 85157*t - 456020. Let g(h) = 3*p(h) - 7*w(h). Find c such that g(c) = 0.
-5, 151
Factor 116*m**2 + 0 + 0*m - 694/3*m**3 + 344/3*m**4 + 2/3*m**5.
2*m**2*(m - 1)**2*(m + 174)/3
Let d(h) = -2*h**2 - 4*h + 6. Let t(f) be the first derivative of 1/3*f**3 - 21 + 5/2*f**2 - 6*f. Let j(q) = 4*d(q) + 5*t(q). Solve j(y) = 0 for y.
1, 2
Let q = 43 - 41. Let w(t) be the first derivative of 0*t - 2/3*t**3 - 31 - 3*t**q. Factor w(k).
-2*k*(k + 3)
What is h in 759*h**2 + 48569 + 144399*h + 71218 + h**3 + 28637 - 4783 = 0?
-379, -1
Let k(v) = 3*v**2 + 152*v + 379. Let d(b) = 2*b**2 + 72*b + 190. Let g(l) = 5*d(l) - 2*k(l). Factor g(z).
4*(z + 6)*(z + 8)
What is j in 40701*j**2 + 41743*j**2 - 92*j**3 - 83504*j**2 - 528*j = 0?
-11, -12/23, 0
Let b = 1/325909 + 1955443/3584999. Suppose 0*n**2 + 0*n + 12/11*n**4 + 6/11*n**3 + 0 + b*n**5 = 0. Calculate n.
-1, 0
Suppose 210 = 36*x - 26*x. Let q be 9/18 + 14/(-4) + x. Factor -10*j - 3*j**2 + 7*j + 24*j - q.
-3*(j - 6)*(j - 1)
Let f be ((-8 - -5) + -1)/(-4). Let t be ((-40)/(-105))/(f/3). Let t + 18/7*h + 12/7*h**2 + 2/7*h**3 = 0. Calculate h.
-4, -1
Let v = -50284/15 - -16768/5. Find j, given that -44/3*j - v*j**3 - 28/3*j**2 - 20/3 = 0.
-5, -1
Let v(z) be the second derivative of -z**5/4 + 995*z**4/12 - 1475*z**3/3 + 980*z**2 + 4434*z - 1. Find w such that v(w) = 0.
1, 2, 196
Let j(g) be the third derivative of -g**7/42 - 5*g**6/24 + 43*g**5/12 - 335*g**4/24 + 25*g**3 - 438*g**2. Solve j(d) = 0 for d.
-10, 1, 3
Let o(a) be the second derivative of -a**7/525 + a**5/50 - a**4/30 + 201*a**2/2 + 178*a. Let v(g) be the first derivative of o(g). Solve v(n) = 0 for n.
-2, 0, 1
Let h = 772 - 767. Suppose 3*r = -4*u + h, 3*u + 57*r = 58*r + 7. Find i such that 4*i + 20 + 1/5*i**u = 0.
-10
Let k be -14 - (-16)/256*8*28. Find s, given that 0*s**2 + 0*s + 1/2*s**4 + k - 1/2*s**3 = 0.
0, 1
Let c(s) be the first derivative of 6*s**6 - 12/5*s**5 - 17*s**4 + 16*s**2 - 30 - 16*s + 28/3*s**3. Determine r, given that c(r) = 0.
-1, 2/3, 1
Let h(p) be the first derivative of 9*p + 23 + 33*p**3 + 12/5*p**5 + 57/2*p**2 + 63/4*p**4. Let h(o) = 0. What is o?
-3, -1, -1/4
Factor 1774/7*i + 2/7*i**3 + 886/7 + 890/7*i**2.
2*(i + 1)**2*(i + 443)/7
Let q(r) be the second derivative of r**8/8400 - r**7/1575 - r**6/300 - r**4/4 + 7*r**3/2 + 78*r. Let d(b) be the third derivative of q(b). Factor d(c).
4*c*(c - 3)*(c + 1)/5
Find y such that 12*y**2 + 13*y**2 - 1500 - 26*y**2 + 40*y + 75*y = 0.
15, 100
Let g(s) be the third derivative of -2*s**7/105 + 29*s**6/30 - 74*s**5/5 + 320*s**4/3 - 1216*s**3/3 - 332*s**2. Let g(p) = 0. Calculate p.
2, 4, 19
Suppose -5*f + 242 = -n + 30, -158 = -4*f - 5*n. Let q = -32 + f. Let r + 10*r**4 + 10 - 20*r**2 + q*r**3 - 5*r - 5*r**5 - r + 0*r = 0. What is r?
-1, 1, 2
Suppose 2*j + m = -5 + 15, 4 = 2*m. Let i(g) be the third derivative of 1/3*g**3 + 2*g**2 + 0 - 11/6*g**j + 7/10*g**5 + g. Solve i(t) = 0 for t.
1/21, 1
Let m(v) be the third derivative of 0 - 1/12*v**4 + v + 0*v**3 + 1/525*v**7 - 7/300*v**6 + 11/150*v**5 + 2*v**2. Factor m(j).
2*j*(j - 5)*(j - 1)**2/5
Let z = -540 + 1105/2. Let m(i) be the first derivative of -z*i**2 + 18 + 5*i + 20/3*i**3. Factor m(p).
5*(p - 1)*(4*p - 1)
Suppose 561 = 67*f + 120*f. Let t(k) be the third derivative of 0*k**f + 1/105*k**5 + 0 + 43*k**2 - 1/420*k**6 + 0*k + 1/28*k**4. Factor t(l).
-2*l*(l - 3)*(l + 1)/7
Factor -54*a**2 + 49 - 2*a**4 + 0*a**3 + 18*a**2 + 3*a**3 + 127 + 23*a**3 - 104*a.
-2*(a - 11)*(a - 2)**2*(a + 2)
Suppose 14 = 2*n, -142*t + 3*n - 21 = -137*t. Let i(o) be the first derivative of -6*o**2 + 1 - 4/3*o**3 + t*o. Factor i(l).
-4*l*(l + 3)
Find c such that -2/15*c**2 - 14/5*c - 32/3 = 0.
-16, -5
Let i(a) be the first derivative of -a**5/90 - 4*a**4/27 + a**3/27 + 8*a**2/9 + 71*a - 238. Let j(o) be the first derivative of i(o). Solve j(x) = 0.
-8, -1, 1
Let f(i) = 13*i**3 - 50*i**2 - 123*i - 36. Let u(x) = -38*x**3 + 150*x**2 + 370*x + 116. Let k(z) = 11*f(z) + 4*u(z). Find v, given that k(v) = 0.
-1, 68/9
Let z(l) = -3*l**2 + 16*l + 14. Let w be z(6). Find s, given that -400 + 2*s**2 - 233*s - 273*s + 186*s - 4*s**3 + 74*s**w = 0.
-1, 10
Let c(z) be the third derivative of -1/540*z**6 + 7/270*z**5 - 7/54*z**4 + 193*z**2 + 8/27*z**3 + z + 0. Factor c(x).
-2*(x - 4)*(x - 2)*(x - 1)/9
Factor -29 + 103 - 5496*t - 62 - 2751*t**2.
-3*(t + 2)*(917*t - 2)
Let v = -37213 - -148857/4. Solve -5/2*a - 5/4*a**2 - v = 0.
-1
Let a = -36300 + 108932/3. Solve -20*f**3 + a*f**2 + 20*f - 16/3 - 16/3*f**4 = 0 for f.
-4, -1, 1/4, 1
Let m(u) be the second derivative of 2 - 2/15*u**3 - 2/5*u**2 - 12*u - 1/60*u**4. Factor m(r).
-(r + 2)**2/5
Let l be (8820/1176)/((-5 - -4) + 0)*2/(-3). Factor 12*x**4 + 1323/5*x + 3/5*x**l + 252*x**2 + 0 + 426/5*x**3.
3*x*(x + 3)**2*(x + 7)**2/5
Let u(g) = -34*g**3 + 124*g**2 - 121*g - 9. Let d(m) = 2*m**3 + 2*m**2 + m + 1. Let w(a) = -d(a) - u(a). Suppose w(l) = 0. Calculate l.
-1/16, 2
Let v(x) be the third derivative of -x**5/5 + 2*x**4/3 - 19*x**3/6 + 25*x**2. Let q(n) = 14*n**2 - 14*n + 18. Let a(t) = -5*q(t) - 6*v(t). Factor a(w).
2*(w - 12)*(w - 1)
Let i be 15/1*2/6. Suppose 0 = b - 5*p + 16, 0 = -7*b + 2*b + i*p. Factor l**2 + 14 - 30 - b*l + 19.
(l - 3)*(l - 1)
Let y(b) = -5*b - 87. Let s be y(0). Let w be 1 - (4 + (-3)/((-9)/s)). Factor -120*h**4 - 105*h**3 - 32*h**2 - 10*h**5 - w*h**5 - 7*h**3.
-4*h**2*(h + 2)*(3*h + 2)**2
Let c(q) be the second derivative of q**4/12 + 87*q**3/2 + 130*q**2 - 10423*q. Let c(x) = 0. Calculate x.
-260, -1
Let q(c) = -5*c**5 - 22*c**3 - 43*c**2 - 16*c - 28. Let n(y) = -2*y**5 - 11*y**3 - 21*y**2 - 8*y - 12. Let z(a) = 7*n(a) - 3*q(a). Factor z(i).
i*(i - 4)*(i + 1)**2*(i + 2)
Let -108/5*o - 96/5*o**5 + 0 + 162*o**2 + 658/5*o**4 - 1368/5*o**3 = 0. What is o?
0, 3/16, 2/3, 3
Let n(x) be the third derivative of -x**5/30 + 167*x**4/6 + 337*x**3 - 2*x**2 - 4490. Factor n(d).
-2*(d - 337)*(d + 3)
Let o be (-9)/78*(-101)/909. Let n(a) be the second derivative of 16*a + 1/13*a**3 + 0 - 2/13*a**2 - o*a**4. Suppose n(c) = 0. What is c?
1, 2
Let b be 3770/3 - (-36)/27. Let 0*t**2 - 4*t**2 + 21 + b*t - 1263*t = 0. What is t?
-3, 7/4
Let f(w) = 7*w**5 + 12*w**4 - 11*w**3 - 112*w**2 - 112*w - 20. Let i(z) = z**5 + z**3 - z**2 - z - 5. Let a(k) = -f(k) + 4*i(k). Determine o so that a(o) = 0.
-3, -2, 0, 3
Let z = -1028 - -2032. Let c = 1006 - z. Find o, given that 2/3*o**c + 14/3 - 16/3*o = 0.
1, 7
Suppose 0 = -x + 4*r + 4, 5*r - 37 = 11*x - 15*x. Factor 12*a**3 + x + 9*a**4 + 28*a**4 - 17*a**4 - 12*a - 28*a**2.
4*(a - 1)*(a + 1)**2*(5*a - 2)
Let z = 28 + -24. Let u(p) = -9 + z - 2*p + p + 4. Let w(d) = 4*d**2 + 60*d + 156. Let n(t) = -12*u(t) - w(t). Factor n(x).
-4*(x + 6)**2
Let g(k) be the third derivative of k**5/240 + 7*k**4/48 + 2*k**3 - 4*k**2 + 19*k. Factor g(c).
(c + 6)*(c + 8)/4
Let b(h) be the first derivative of 3*h**3/2 - 1357*h**2/4 - 151*h + 752. Factor b(c).
(c - 151)*(9*c + 2)/2
Let n(a) be the third derivative of -4/15*a**5 - 7*a**2 + 1/90*a**6 + 6 + 196/9*a**3 + 0*a + 7/6*a**4. Factor n(t).
4*(t - 7)**2*(t + 2)/3
Let r(y) = -4*y**4 - 24*y**3 + 12*y**2 + 22*y - 24. Let z(x) = 2*x**3 + x. Let k(n) = -r(n) - 6*z(n). Suppose k(h) = 0. Calculate h.
-3, -2, 1
Let p = 601 + -883. Let y = 1129/4 + p. Let 1/4*h + 1/4*h**4 - 